N=4 supersymmetry on a space-time lattice

Simon Catterall; David Schaich; Poul H. Damgaard; Thomas DeGrand; Joel Giedt

doi:10.1103/PhysRevD.90.065013

N=4 supersymmetry on a space-time lattice

Simon Catterall, David Schaich, Poul H. Damgaard, Thomas DeGrand, Joel Giedt

Theoretical high energy, astroparticle and gravitational physics

41 Citations (Scopus)

Abstract

Maximally supersymmetric Yang–Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N), the lattice formulation is naturally described in terms of gauge group U(N). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.

Original language	English
Article number	065013
Journal	Physical Review D (Particles, Fields, Gravitation and Cosmology)
Volume	90
Issue number	6
ISSN	1550-7998
DOIs	https://doi.org/10.1103/PhysRevD.90.065013
Publication status	Published - 10 Sept 2014

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10.1103/PhysRevD.90.065013

Cite this

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AB - Maximally supersymmetric Yang–Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice theory, paying particular attention to its strongly coupled regime. Targeting a theory with gauge group SU(N), the lattice formulation is naturally described in terms of gauge group U(N). Although the U(1) degrees of freedom decouple in the continuum limit we show that these degrees of freedom lead to unwanted lattice artifacts at strong coupling. We demonstrate that these lattice artifacts can be removed, leaving behind a lattice formulation based on the SU(N) gauge group with the expected apparently conformal behavior at both weak and strong coupling.

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