N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras

Autor:	Borowiec, A., Lukierski, J., Mozrzymas, M., Tolstoy, V. N.
Rok vydání:	2011
Předmět:	High Energy Physics - Theory Mathematical Physics Mathematics - Quantum Algebra
Zdroj:	JHEP 1206 (2012) 154
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP06(2012)154
Popis:	We present a large class of supersymmetric classical r-matrices, describing the supertwist deformations of Poincare and Euclidean superalgebras. We consider in detail new family of four supertwists of N=1 Poincare superalgebra and provide as well their Euclidean counterpart. The proposed supertwists are better adjusted to the description of deformed D=4 Euclidean supersymmetries with independent left-chiral and right-chiral supercharges. They lead to new quantum superspaces, obtained by the superextension of twist deformations of spacetime providing Lie-algebraic noncommutativity of space-time coordinates. In the Hopf-algebraic Euclidean SUSY framework the considered supertwist deformations provide an alternative to the N=1/2 SUSY Seiberg's star product deformation scheme. Comment: 17 pages, LaTeX, new (re-worked) revised and extended version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1112.1936 Zobrazit plný text záznamu View this record from Arxiv