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Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking

I. Filippov·S. Pinsky
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Abstract

We consider the $N=(1,1)$ SYM theory that is obtained by dimensionally reducing SYM theory in 2+1 dimensions to 1+1 dimensions and discuss soft supersymmetry breaking. We discuss the numerical simulation of this theory using SDLCQ when either the boson or the fermion has a large mass. We compare our result to the pure adjoint fermion theory and pure adjoint boson DLCQ calculations of Klebanov, Demeterfi, and Bhanot and of Kutasov. With a large boson mass we find that it is necessary to add additional operators to the theory to obtain sensible results. When a large fermion mass is added to the theory we find that it is not necessary to add operators to obtain a sensible theory. The theory of the adjoint boson is a theory that has stringy bound states similar to the full SYM theory. We also discuss another theory of adjoint bosons with a spectrum similar to that obtained by Klebanov, Demeterfi, and Bhanot.

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I. Filippov, S. Pinsky. 2002-02-11. Numerical Simulations of N=(1,1) SYM{1+1} with Large Supersymmetry Breaking. https://doi.org/10.1103/physrevd.66.025012

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