TY - JOUR

T1 - Lattice formulation of N = 4 super Yang-Mills theory

AU - Catterall, Simon

N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.

PY - 2005/6/1

Y1 - 2005/6/1

N2 - We construct a lattice action for N ≤ 4 super Yang-Mills theory in four dimensions which is local, gauge invariant, free of spectrum doubling and possesses a single exact supersymmetry. Our construction starts from the observation that the fermions of the continuum theory can be mapped into the component fields of a single real anticommuting Kähler-Dirac field. The original supersymmetry algebra then implies the existence of a nilpotent scalar supercharge Q and a corresponding set of bosonic superpartners. Using this field content we write down a Q-exact action and show that, with an appropriate change of variables, it reduces to a well-known twist of N ≤ 4 super Yang-Mills theory due to Marcus. Using the discretization prescription developed earlier we are able to translate this geometrical action to the lattice.

AB - We construct a lattice action for N ≤ 4 super Yang-Mills theory in four dimensions which is local, gauge invariant, free of spectrum doubling and possesses a single exact supersymmetry. Our construction starts from the observation that the fermions of the continuum theory can be mapped into the component fields of a single real anticommuting Kähler-Dirac field. The original supersymmetry algebra then implies the existence of a nilpotent scalar supercharge Q and a corresponding set of bosonic superpartners. Using this field content we write down a Q-exact action and show that, with an appropriate change of variables, it reduces to a well-known twist of N ≤ 4 super Yang-Mills theory due to Marcus. Using the discretization prescription developed earlier we are able to translate this geometrical action to the lattice.

KW - Extended Supersymmetry

KW - Lattice Gauge Field Theories

KW - Topological Field Theories

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U2 - 10.1088/1126-6708/2005/06/027

DO - 10.1088/1126-6708/2005/06/027

M3 - Article

AN - SCOPUS:22144498127

SP - 601

EP - 617

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 6

ER -