N=2* Yang-Mills on the Lattice
The $N=2^\star$ Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric N=4 Yang-Mills theory. This theory also takes part in AdS/CFT correspondence and its gravity dual is type IIB supergravity on the Pilch-Warner background. The finite temperature properties of this theory have been studied. It has been argued that at large N and strong coupling this theory exhibits no thermal phase transition at any non-zero temperature. The low-temperature $N=2^\star$ plasma can be compared to the QCD plasma. In this talk, we provide the lattice construction of $N=2^\star$ Yang-Mills on a hypercubic lattice starting from the N=4 gauge theory. The lattice construction is local, gauge-invariant, free from fermion doubling problem and preserves a part of the supersymmetry. This nonperturbative formulation of the theory can be used to provide a highly nontrivial check of the AdS/CFT correspondence in a non-conformal theory.
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Physics Beyond the Standard Model