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arxiv: 0812.1564 · v1 · submitted 2008-12-08 · ✦ hep-th

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

classification ✦ hep-th
keywords theorybosonicchern-simons-matterdegreesfermionicfreedommatternon-relativistic
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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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