3D N = 1 SYM Chern-Simons theory on the Lattice
arXiv:0708.3214 · doi:10.1088/1126-6708/2007/11/067
Abstract
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.
v2, minor changes: expanded discussion in section III c, typos corrected, 17 pages, 9 figures
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