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

Abstract

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.

11pages

References in corpus (4)

• Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
• More super Schrodinger algebras from psu(2,2|4)
• An Index for Non-relativistic Superconformal Field Theories
• Super Schrodinger algebra in AdS/CFT

Cited by in corpus (6)

• Super Galilean conformal algebra in AdS/CFT
• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• Aspects of Non-Relativistic Quantum Field Theories
• Renormalization properties of a Galilean Wess-Zumino model
• Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown
• Massive Nambu-Goldstone Fermions and Bosons for Non-relativistic Superconformal Symmetry: Jackiw-Pi Vortices in a Trap