Schedule Feb 01, 2012
Twisted Lattice Supersymmetry: A Status Report
Simon Catterall, Syracuse Univ. & KITP

I will briefly review the construction of lattice Yang Mills theories which exhibit invariance under one or more twisted supersymmetries at non zero lattice spacing focusing in particular on a lattice model which targets N=4 YM in the naive continuum limit. I will show that the structure of the lattice model is remarkably similar to its continuum counterpart; the moduli space is not lifted to all orders in perturbation theory and the one loop beta function vanishes. I will then describe how the model may be simulated using standard Monte Carlo techniques borrowed from lattice QCD and hence how lattice studies can be used to probe the non perturbative structure of the theory and test aspects of the AdS/CFT correspondence.

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