Supersymmetry on a Lattice

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Abstract

Attempts to formulate supersymmetric field theories on discrete spacetime lattices have a long history. However, until recently most of these efforts have failed. In this talk I will review some of the new ideas that have finally allowed a solution to this problem for certain supersymmetric theories. I will focus my attention, in particular, on N=4 super Yang-Mills which forms one of the pillars of the AdSCFT correspondence connecting gravitational theories in anti-deSitter space to gauge theories living on the boundary of that space. It is also integral to the scattering amplitudes program and is under intensive study using conformal bootstrap techniques. I will review the theoretical construction of the model and describe what is known analytically about the lattice theory. Following on from this I will present preliminary results stemming from the first large scale lattice study of N=4 Yang-Mills. Our results are consistent with the existence of a single deconfined phase for the theory in which the static fermion potential shows only a Coulomb-like behavior. Unlike QCD there is no confining, chirally broken phase even at strong coupling.

Original languageEnglish (US)
Article number012050
JournalJournal of Physics: Conference Series
Volume640
Issue number1
DOIs
StatePublished - Sep 28 2015
Event26th IUPAP Conference on Computational Physics, CCP 2014 - Boston, United States
Duration: Aug 11 2014Aug 14 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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