Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Quantum deformations, noncommutative geometries and the deformation of dynamical models

2011/01/B/ST2/03354

Keywords:

Planck scale physics quantum gravity deformed symmetries noncommutative geometry quantum deformations deformed dynamical models

Descriptors:

  • ST2_1:
  • ST2_11:
  • ST1_12:

Panel:

ST2 - Fundamental constituents of matter: particle, nuclear, plasma, atomic, molecular, gas and optical physics

Host institution :

Uniwersytet Wrocławski, Wydział Fizyki i Astronomii

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jerzy Andrzej Lukierski 

Number of co-investigators in the project: 7

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 327 800 PLN

Project start date (Y-m-d): 2011-12-09

Project end date (Y-m-d): 2014-12-08

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer do multimedialnych prezentacji oraz do obliczeń numerycznych i symbolicznych (4 000 PLN)
  2. Laptop dla młodszych pracowników naukowych (2 000 PLN)

Information in the final report

  • Publication in academic press/journals (47)
  • Articles in post-conference publications (10)
  • Book publications / chapters in book publications (1)
  1. Twist deformation of l-conformal Galilei Hopf algebra
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Adv.Stud.Theor.Phys. 7 (2013) 471-478 (rok: 2013, tom: 7, strony: 471-478), Wydawca: Hikari Ltd,
    Status:
    Published
  2. Living in Curved Momentum Space
    Authors:
    J. Kowalski-Glikman
    Academic press:
    Int.J.Mod.Phys. A28 (2013) 1330014 (rok: 2013, tom: 28, strony: 12420), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217751X13300147 - link to the publication
  3. Generally covariant formulation of relative locality in curved spacetime
    Authors:
    F. Cianfrani,J. Kowalski-Glikman, and G. Rosati
    Academic press:
    PHYSICAL REVIEW D (rok: 2014, tom: 89, strony: 044039 /8s), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.89.044039 - link to the publication
  4. OPERA neutrinos and deformed special relativity
    Authors:
    Giovanni Amelino-Camelia, Laurent Freidel, Jerzy Kowalski-Glikman, Lee Smolin
    Academic press:
    Mod.Phys.Lett. (rok: 2012, tom: 27, strony: 1250063), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500630 - link to the publication
  5. Generalized Poincare algebras, Hopf algebras and kappa-Minkowski spacetime
    Authors:
    D. Kovacevic, S. Meljanac, A. Pachol, R. Strajn
    Academic press:
    Phys.Lett. B711 (2012) 122-127 (rok: 2012, tom: 711, strony: 122-127), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2012.03.062 - link to the publication
  6. Generalizations of Maxwell (super)algebras by the expansion method
    Authors:
    J. A. de Azcarraga, J. M. Izquierdo, J. Lukierski, M. Woronowicz
    Academic press:
    Nucl. Phys. B (rok: 2013, tom: 869, strony: 303-314), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2012.12.008 - link to the publication
  7. Cosmic acceleration from modified gravity with Palatini formalism
    Authors:
    A. Borowiec, M. Kamionka, A. Kurek, M. Szydlowski
    Academic press:
    JCAP 02 (2012) 027 (rok: 2012, tom: 2, strony: 27), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/1475-7516/2012/02/027 - link to the publication
  8. Reply to ''Comment on 'Relative locality and the soccer ball problem"
    Authors:
    Giovanni Amelino-Camelia, Laurent Freide, Jerzy Kowalski-Glikman, Lee Smolin
    Academic press:
    Phys.Rev. D88 (2013) 028702 (rok: 2013, tom: 88, strony: 2872), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.88.028702 - link to the publication
  9. κ-Deformations and Extended κ-Minkowski Spacetimes
    Authors:
    Andrzej Borowiec, Anna Pachol
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2014, tom: 10, strony: 107/ 24s), Wydawca: NATL ACAD SCI UKRAINE, INST MATH
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.107 - link to the publication
  10. Twisting and κ-Poincaré
    Authors:
    Andrzej Borowiec, Jerzy Lukierski and Anna Pachoł
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2014, tom: 47, strony: 405203 /12s), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8113/47/40/405203 - link to the publication
  11. N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
    Authors:
    A. Borowiec, J. Lukierski, M. Mozrzymas, V. N. Tolstoy
    Academic press:
    JHEP 1206 (2012) 154 (rok: 2012, tom: 6, strony: 154), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1007/JHEP06(2012)154 - link to the publication
  12. Landau energy spectrum and quantum oscillator model for twisted N-enlarged Newton-Hooke space-time
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Acta Physica Polonica B (rok: 2014, tom: 45, strony: 2047-2056), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.45.2047 - link to the publication
  13. Supersymmetrization Schemes of D=4 Maxwell Algebra
    Authors:
    Kiyoshi Kamimura, Jerzy Lukierski
    Academic press:
    Physics Letters B 707 (2012) 292-297 (rok: 2012, tom: 707, strony: 292-297), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2011.12.037 - link to the publication
  14. Braided Field Quantization from Quantum Poincare Covariance
    Authors:
    Jerzy Lukierski, Mariusz Woronowicz
    Academic press:
    Int. Jour. Mod. Phys. A (rok: 2012, tom: 27, strony: 1250084), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S2010194512006794 - link to the publication
  15. Different realizations of kappa-momentum space
    Authors:
    Stjepan Meljanac, Anna Pachol, Andjelo Samsarov, Kumar S. Gupta,
    Academic press:
    Phys.Rev.D (rok: 2013, tom: 87, strony: 125009), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.87.125009 - link to the publication
  16. Quantum mechanics of many particles defined on twisted N-enlarged Newton-Hooke space-times
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Acta Phys. Polon. B (rok: 2013, tom: 44, strony: 699-711), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.44.699 - link to the publication
  17. Braided Field Quantization from Quantum Poincare Covariance
    Authors:
    Jerzy Lukierski, Mariusz Woronowicz
    Academic press:
    Int. Jour. Mod. Phys. A (rok: 2012, tom: 27, strony: 1250084), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S2010194512006794 - link to the publication
  18. Reply to ''Comment on 'Relative locality and the soccer ball problem"
    Authors:
    Giovanni Amelino-Camelia, Laurent Freide, Jerzy Kowalski-Glikman, Lee Smolin
    Academic press:
    Phys.Rev. D88 (2013) 028702 (rok: 2013, tom: 88, strony: 2872), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.88.028702 - link to the publication
  19. Kerr black hole in canonically deformed space-time
    Authors:
    Marcin Daszkiewicz, Cezary J. Walczyk
    Academic press:
    ADVANCED STUDIES IN THEORETICAL PHYSICS (rok: 2014, tom: 8, strony: 1113-1123), Wydawca: HIKARI Ltd.
    Status:
    Published
    DOI:
    10.12988/astp.2014.49127 - link to the publication
  20. A model of hydrogen atom for twisted acceleration-enlarged Newton-Hooke space-times
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Chin.J.Phys. (rok: 2013, tom: 51, strony: 646-656), Wydawca: Airiti Librery
    Status:
    Published
    DOI:
    10.6122/CJP.51.646 - link to the publication
  21. Equivalent forces in Newton equation from twist deformations and noninertial coordinate frames
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Mod.Phys.Lett. A28 (2013) 1350154 (rok: 2013, tom: 28, strony: 45667), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S021773231350154X - link to the publication
  22. Wheeler-DeWitt equation and AdS/CFT correspondence
    Authors:
    Francesco Cianfrani, Jerzy Kowalski-Glikman
    Academic press:
    Phys.Lett. B (rok: 2013, tom: 725, strony: 463-467), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2013.07.034 - link to the publication
  23. Relative Locality in Curved Space-time
    Authors:
    Jerzy Kowalski-Glikman, Giacomo Rosati
    Academic press:
    Mod.Phys.Lett. A (rok: 2013, tom: 28, strony: 1350101), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732313501010 - link to the publication
  24. Supersymmetrization Schemes of D=4 Maxwell Algebra
    Authors:
    Kiyoshi Kamimura, Jerzy Lukierski
    Academic press:
    Physics Letters B 707 (2012) 292-297 (rok: 2012, tom: 707, strony: 292-297), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2011.12.037 - link to the publication
  25. Different realizations of kappa-momentum space
    Authors:
    Stjepan Meljanac, Anna Pachol, Andjelo Samsarov, Kumar S. Gupta,
    Academic press:
    Phys.Rev.D (rok: 2013, tom: 87, strony: 125009), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.87.125009 - link to the publication
  26. OPERA neutrinos and deformed special relativity
    Authors:
    Giovanni Amelino-Camelia, Laurent Freidel, Jerzy Kowalski-Glikman, Lee Smolin
    Academic press:
    Mod.Phys.Lett. (rok: 2012, tom: 27, strony: 1250063), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500630 - link to the publication
  27. N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
    Authors:
    A. Borowiec, J. Lukierski, M. Mozrzymas, V. N. Tolstoy
    Academic press:
    JHEP 1206 (2012) 154 (rok: 2012, tom: 6, strony: 154), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1007/JHEP06(2012)154 - link to the publication
  28. Coherent states and quantum numbers for twist-deformed oscillator model
    Authors:
    Marcin Daszkiewicz, Cezary J. Walczyk
    Academic press:
    Acta Physica Polonica B (rok: 2014, tom: 45, strony: 917-924), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.45.917 - link to the publication
  29. Unified description for κ-deformations of orthogonal groups
    Authors:
    A. Borowiec, A. Pachol
    Academic press:
    European Physical Journal C (rok: 2014, tom: 74, strony: 2812 (9pp.)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjc/s10052-014-2812-8 - link to the publication
  30. Generalizations of Maxwell (super)algebras by the expansion method
    Authors:
    J. A. de Azcarraga, J. M. Izquierdo, J. Lukierski, M. Woronowicz
    Academic press:
    Nucl. Phys. B (rok: 2013, tom: 869, strony: 303-314), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2012.12.008 - link to the publication
  31. Generally covariant formulation of relative locality in curved spacetime
    Authors:
    F. Cianfrani,J. Kowalski-Glikman, and G. Rosati
    Academic press:
    PHYSICAL REVIEW D (rok: 2014, tom: 89, strony: 044039 /8s), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.89.044039 - link to the publication
  32. A model of hydrogen atom for twisted acceleration-enlarged Newton-Hooke space-times
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Chin.J.Phys. (rok: 2013, tom: 51, strony: 646-656), Wydawca: Airiti Librery
    Status:
    Published
    DOI:
    10.6122/CJP.51.646 - link to the publication
  33. Unified description for κ-deformations of orthogonal groups
    Authors:
    A. Borowiec, A. Pachol
    Academic press:
    European Physical Journal C (rok: 2014, tom: 74, strony: 2812 (9pp.)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjc/s10052-014-2812-8 - link to the publication
  34. Coherent states and quantum numbers for twist-deformed oscillator model
    Authors:
    Marcin Daszkiewicz, Cezary J. Walczyk
    Academic press:
    Acta Physica Polonica B (rok: 2014, tom: 45, strony: 917-924), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.45.917 - link to the publication
  35. Massive twistor particle with spin generated by Souriau–Wess–Zumino term and its quantization
    Authors:
    Sergey Fedoruk , JerzyLukierski
    Academic press:
    Physics Letters B (rok: 2014, tom: 733, strony: 309–315), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2014.04.059 - link to the publication
  36. Gauge Theory on Twisted k-Minkowski: Old Problems and Possible Solutions?
    Authors:
    Marija DIMITRIJEVIC, Larisa JONKE and Anna PACHOŁ
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2014, tom: 10, strony: 063 /22s), Wydawca: NATL ACAD SCI UKRAINE, INST MATH
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.063 - link to the publication
  37. Beyond Fock space in three-dimensional semiclassical gravity
    Authors:
    Michele Arzano, Jerzy Kowalski-Glikman and Tomasz Trzesniewski
    Academic press:
    Classical and Quantum Gravity (rok: 2014, tom: 31, strony: 035013 /13s), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0264-9381/31/3/035013 - link to the publication
  38. Landau energy levels for twisted N-enlarged Newton-Hooke space-time
    Authors:
    Marcin Daszkiewicz
    Academic press:
    Acta Phys.Polon. B (rok: 2013, tom: 44, strony: 59-68), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.44.59 - link to the publication
  39. Cosmic acceleration from modified gravity with Palatini formalism
    Authors:
    A. Borowiec, M. Kamionka, A. Kurek, M. Szydlowski
    Academic press:
    JCAP 02 (2012) 027 (rok: 2012, tom: 2, strony: 27), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/1475-7516/2012/02/027 - link to the publication
  40. New spinorial particle model in tensorial space-time and interacting higher spin fields
    Authors:
    Sergey Fedoruk, Jerzy Lukierski
    Academic press:
    JHEP (rok: 2013, tom: 2, strony: 128), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1007/JHEP02(2013)128 - link to the publication
  41. N-enlarged Galilei Hopf algebra and its twist deformations
    Authors:
    M. Daszkiewicz
    Academic press:
    Mod.Phys.Lett. A (rok: 2012, tom: 27, strony: 1250083), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500836 - link to the publication
  42. Twist deformation of doubly enlarged Newton-Hooke Hopf algebra
    Authors:
    M. Daszkiewicz
    Academic press:
    Mod.Phys.Lett. A (rok: 2012, tom: 27, strony: 1250066), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732312500666 - link to the publication
  43. New spinorial particle model in tensorial space-time and interacting higher spin fields
    Authors:
    Sergey Fedoruk, Jerzy Lukierski
    Academic press:
    JHEP (rok: 2013, tom: 2, strony: 128), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1007/JHEP02(2013)128 - link to the publication
  44. Wheeler-DeWitt equation and AdS/CFT correspondence
    Authors:
    Francesco Cianfrani, Jerzy Kowalski-Glikman
    Academic press:
    Phys.Lett. B (rok: 2013, tom: 725, strony: 463-467), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physletb.2013.07.034 - link to the publication
  45. Relative Locality in Curved Space-time
    Authors:
    Jerzy Kowalski-Glikman, Giacomo Rosati
    Academic press:
    Mod.Phys.Lett. A (rok: 2013, tom: 28, strony: 1350101), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217732313501010 - link to the publication
  46. κ-Deformations and Extended κ-Minkowski Spacetimes
    Authors:
    Andrzej Borowiec, Anna Pachol
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2014, tom: 10, strony: 107/ 24s), Wydawca: NATL ACAD SCI UKRAINE, INST MATH
    Status:
    Published
    DOI:
    10.3842/SIGMA.2014.107 - link to the publication
  47. Kerr black hole in canonically deformed space-time
    Authors:
    Marcin Daszkiewicz, Cezary J. Walczyk
    Academic press:
    ADVANCED STUDIES IN THEORETICAL PHYSICS (rok: 2014, tom: 8, strony: 1113-1123), Wydawca: HIKARI Ltd.
    Status:
    Published
    DOI:
    10.12988/astp.2014.49127 - link to the publication
  1. Bicrossproduct construction versus Weyl-Heisenberg algebra
    Authors:
    A. Borowiec, A. Pachoł
    Conference:
    7th International Conference on Quantum Theory and Symmetries (QTS7) (rok: 2012, ), Wydawca: IOPscientific
    Data:
    konferencja 7-13.08.2011, Praga
    Status:
    Published
  2. Curved Momentum Space and Relative Locality
    Authors:
    Jerzy Kowalski-Glikman
    Conference:
    29th Max Born Symposium: Super, Quantum & Twistors II, Wroclaw, Poland (rok: 2012, ), Wydawca: World Scientific
    Data:
    konferencja 28-30 June 2011.
    Status:
    Published
  3. Short review on noncommutative spacetimes
    Authors:
    Anna Pachol
    Conference:
    6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena (rok: 2013, ), Wydawca: IOPscience
    Data:
    konferencja 17–21 September 2012, Castiglioncello (Tuscany), Italy
    Status:
    Published
  4. Noncommutative Space-Time from Quantized Twistors
    Authors:
    J. Lukierski, M. Woronowicz
    Conference:
    Conforence in Honour of the 90th Birthday of Freeman Dyson (rok: 2014, ), Wydawca: World Scientific Publishing Co.
    Data:
    konferencja 26-29 August 2o13, Singapore
    Status:
    Published
  5. Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries
    Authors:
    Marcin Daszkiewicz
    Conference:
    29th Max Born Symposium: Super, Quantum & Twistors II, Wroclaw, Poland (rok: 2012, ), Wydawca: World Scientific
    Data:
    konferencja 28-30 June 2011
    Status:
    Published
  6. Maxwell group and HS field theory
    Authors:
    S Fedoruk, J Lukierski
    Conference:
    XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21) (rok: 2013, ), Wydawca: Journal of Physics: Conference Series 474 (1), 012016
    Data:
    konferencja 12-16.06.2013, Prague
    Status:
    Published
  7. New class of quantum deformations of D=4 Euclidean supersymmetry
    Authors:
    A. Borowiec, J. Lukierski, M. Mozrzymas, V.N. Tolstoy
    Conference:
    XXIX International Cooloquium on Group-Theoretical Methods in Physics (rok: 2013, ), Wydawca: World Scientific Publishing Co.
    Data:
    konferencja Tianjin, China, 20-26 August 2012
    Status:
    Published
  8. New class of quantum deformations of D=4 Euclidean supersymmetry
    Authors:
    A. Borowiec, J. Lukierski, M. Mozrzymas, V.N. Tolstoy
    Conference:
    XXIX International Cooloquium on Group-Theoretical Methods in Physics (rok: 2013, ), Wydawca: World Scientific Publishing Co.
    Data:
    konferencja Tianjin, China, 20-26 August 2012
    Status:
    Published
  9. Short review on noncommutative spacetimes
    Authors:
    Anna Pachol
    Conference:
    6th International Workshop DICE2012 Spacetime – Matter – Quantum Mechanics: From the Planck Scale to Emergent Phenomena (rok: 2013, ), Wydawca: IOPscience
    Data:
    konferencja 17–21 September 2012, Castiglioncello (Tuscany), Italy
    Status:
    Published
  10. Bicrossproduct construction versus Weyl-Heisenberg algebra
    Authors:
    A. Borowiec, A. Pachoł
    Conference:
    7th International Conference on Quantum Theory and Symmetries (QTS7) (rok: 2012, ), Wydawca: IOPscientific
    Data:
    konferencja 7-13.08.2011, Praga
    Status:
    Published
  1. Quantum gravity models - a brief conceptual summary
    Authors:
    Jerzy Lukierski
    Book:
    Mathematical Structure of the Universe (rok: 2014, tom: brak, strony: 277-300), Wydawca: Copernicus Center Press Sp. z o.o.
    Status:
    Published