6533b7d4fe1ef96bd1262869

RESEARCH PRODUCT

Galilean Superconformal Symmetries

Jerzy LukierskiJ. A. De Azcárraga

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsFOS: Physical sciencesMathematical Physics (math-ph)N = 2 superconformal algebraGalileanHigh Energy Physics::TheoryHigh Energy Physics - Theory (hep-th)Internal symmetryConformal symmetryQuantum electrodynamicsHomogeneous spaceCosetSuperconformal algebraMathematical PhysicsMathematical physics

description

We consider the non-relativistic c -> \infty contraction limit of the (N=2k)- extended D=4 superconformal algebra su(2,2;N), introducing in this way the non-relativistic (N=2k)-extended Galilean superconformal algebra. Such a Galilean superconformal algebra has the same number of generators as su(2,2|2k). The usp(2k) algebra describes the non-relativistic internal symmetries, and the generators from the coset u(2k)/usp(2k) become central charges after contraction.

10.1016/j.physletb.2009.06.042http://arxiv.org/abs/0905.0141