Fri·Aug 24, 2007Friday·August 24, 2007

1. 01*

   3D N = 1 SYM Chern-Simons theory on the Lattice

   Joshua W. Elliott🇨🇦 · Guy D. Moore🇨🇦

   We present a method to implement 3-dimensional N = 1 SUSY Yang-Mills theory (a theory with two real supercharges containing gauge fields and an adjoint Majorana fermion) on the lattice, including a way to implement the Chern-Simons term present in this theory. At nonzero Chern-Simons number our implementation suffers from a sign problem which will make the numerical effort grow exponentially with volume. We also show that the theory with vanishing Chern-Simons number is anomalous; its partition function identically vanishes.

   hep-lathep-thJHEP(2007)·10 citations

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