Informal Pizza Seminar

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

Joshua Elliot

McGill

I will describe our 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. I will also show that the theory with vanishing Chern-Simons number is anomalous for SU(n=odd) (the Witten anomaly) and for SU(n=even) (a result heretofore unrecognized) by showing that its partition function identically vanishes.