Interacting SUSY-singlet matter in non-relativistic Chern-Simons theory

Details Interacting SUSY-singlet matter in non-relativistic Chern-Simons theory Interacting SUSY-singlet matter in non-relativistic Chern-Simons theory

2008-12-08

arxiv.org/abs/0812.1564v1

J.Phys.A42:195402,2009

Physics

High Energy Physics

High Energy Physics - Theory

11pages

Scientific paper

10.1088/1751-8113/42/19/195402

We construct an example of supersymmetric Chern-Simons-matter theory with a matter field transforming as a singlet representation of the supersymmetry algebra, where the bosonic and fermionic degrees of freedom do not match. This is obtained as a non-relativistic limit of the N=2 Chern-Simons-matter theory in 1+2 dimensions, where the particle and anti-particle coexist. We also study the index to investigate the mimatch of bosonic and fermionic degrees of freedom.

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