TY - JOUR

T1 - Twisted supersymmetries in lattice N = 4 super Yang-Mills theory

AU - Catterall, Simon

AU - Giedt, Joel

AU - Joseph, Anosh

N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 2013/10

Y1 - 2013/10

N2 - Recently it has been shown how a topologically twisted version of N = 4 super Yang-Mills may be discretized in such a way as to preserve one scalar supersymmetry at nonzero lattice spacing. The remaining fifteen supersymmetries are broken by terms of O(a) where a is the lattice spacing. One would like to know whether these remaining supersymmetries are regained in the continuum limit a → 0 and, if not, how much tuning of the couplings in the lattice action is required. In this paper we derive the form of these additional twisted supersymmetries by combining a set of discrete R-symmetries of the continuum theory with the action of the scalar supersymmetry. We then argue that restoration of rotational symmetry in the continuum limit of the lattice theory likely implies restoration of R-symmetry and hence should lead to an automatic enhancement to the full N = 4 supersymmetry without further fine-tuning.

AB - Recently it has been shown how a topologically twisted version of N = 4 super Yang-Mills may be discretized in such a way as to preserve one scalar supersymmetry at nonzero lattice spacing. The remaining fifteen supersymmetries are broken by terms of O(a) where a is the lattice spacing. One would like to know whether these remaining supersymmetries are regained in the continuum limit a → 0 and, if not, how much tuning of the couplings in the lattice action is required. In this paper we derive the form of these additional twisted supersymmetries by combining a set of discrete R-symmetries of the continuum theory with the action of the scalar supersymmetry. We then argue that restoration of rotational symmetry in the continuum limit of the lattice theory likely implies restoration of R-symmetry and hence should lead to an automatic enhancement to the full N = 4 supersymmetry without further fine-tuning.

KW - Extended Supersymmetry

KW - Lattice Quantum Field Theory

KW - Supersymmetric gauge theory

KW - Topological Field Theories

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U2 - 10.1007/JHEP10(2013)166

DO - 10.1007/JHEP10(2013)166

M3 - Article

AN - SCOPUS:84892768033

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 10

M1 - 166

ER -