Quantum deformation of relativistic supersymmetry

Sobczyk, Jan

  • Proceedings of the 15th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page [207]-216

Abstract

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From the text: The author reviews recent research on quantum deformations of the Poincaré supergroup and superalgebra. It is based on a series of papers (coauthored by P. Kosiński, J. Lukierski, P. Maślanka and A. Nowicki) and is motivated by both mathematics and physics. On the mathematical side, some new examples of noncommutative and noncocommutative Hopf superalgebras have been discovered. Moreover, it turns out that they have an interesting internal structure of graded bicrossproduct. As far as physics is concerned, the discussed deformations are closely related to quantum deformations of the (not super!) Poincaré group and algebra, which has become a subject of considerable interest in recent years. These deformations involve dimensional parameter κ (the classical case corresponds to the limit κ ) and some authors tried to impose limits on possible numerical values of κ coming from physical arguments.

How to cite

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Sobczyk, Jan. "Quantum deformation of relativistic supersymmetry." Proceedings of the 15th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1996. [207]-216. <http://eudml.org/doc/221307>.

@inProceedings{Sobczyk1996,
abstract = {From the text: The author reviews recent research on quantum deformations of the Poincaré supergroup and superalgebra. It is based on a series of papers (coauthored by P. Kosiński, J. Lukierski, P. Maślanka and A. Nowicki) and is motivated by both mathematics and physics. On the mathematical side, some new examples of noncommutative and noncocommutative Hopf superalgebras have been discovered. Moreover, it turns out that they have an interesting internal structure of graded bicrossproduct. As far as physics is concerned, the discussed deformations are closely related to quantum deformations of the (not super!) Poincaré group and algebra, which has become a subject of considerable interest in recent years. These deformations involve dimensional parameter $\kappa $ (the classical case corresponds to the limit $\kappa \rightarrow \infty )$ and some authors tried to impose limits on possible numerical values of $\kappa $ coming from physical arguments.},
author = {Sobczyk, Jan},
booktitle = {Proceedings of the 15th Winter School "Geometry and Physics"},
keywords = {Proceedings; Geometry; Physics; Winter school; Srni (Czech Republic)},
location = {Palermo},
pages = {[207]-216},
publisher = {Circolo Matematico di Palermo},
title = {Quantum deformation of relativistic supersymmetry},
url = {http://eudml.org/doc/221307},
year = {1996},
}

TY - CLSWK
AU - Sobczyk, Jan
TI - Quantum deformation of relativistic supersymmetry
T2 - Proceedings of the 15th Winter School "Geometry and Physics"
PY - 1996
CY - Palermo
PB - Circolo Matematico di Palermo
SP - [207]
EP - 216
AB - From the text: The author reviews recent research on quantum deformations of the Poincaré supergroup and superalgebra. It is based on a series of papers (coauthored by P. Kosiński, J. Lukierski, P. Maślanka and A. Nowicki) and is motivated by both mathematics and physics. On the mathematical side, some new examples of noncommutative and noncocommutative Hopf superalgebras have been discovered. Moreover, it turns out that they have an interesting internal structure of graded bicrossproduct. As far as physics is concerned, the discussed deformations are closely related to quantum deformations of the (not super!) Poincaré group and algebra, which has become a subject of considerable interest in recent years. These deformations involve dimensional parameter $\kappa $ (the classical case corresponds to the limit $\kappa \rightarrow \infty )$ and some authors tried to impose limits on possible numerical values of $\kappa $ coming from physical arguments.
KW - Proceedings; Geometry; Physics; Winter school; Srni (Czech Republic)
UR - http://eudml.org/doc/221307
ER -

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