Lattice Gauge Theories Have Gravitational Duals
Abstract
In this paper we examine a certain threebrane solution of type IIB string theory whose long-wavelength dynamics are those of a supersymmetric gauge theory in 2+1 continuous and 1 discrete dimension, all of infinite extent. Low-energy processes in this background are controlled by dimensional deconstruction, a strict limit in which gravity decouples but the lattice spacing stays finite. Relating this limit to the near-horizon limit of our solution we obtain an exact, continuum gravitational dual of a lattice gauge theory with nonzero lattice spacing. H-flux in the translationally invariant solution encodes the spatial discreteness of the gauge theory, and we relate the cutoff on allowed momenta to a giant graviton effect in the bulk.
Keywords
Cite
@article{arxiv.hep-th/0207226,
title = {Lattice Gauge Theories Have Gravitational Duals},
author = {Simeon Hellerman},
journal= {arXiv preprint arXiv:hep-th/0207226},
year = {2007}
}
Comments
Minor changes, typos fixed and references added