Lattice Gauge Theories Have Gravitational Duals

Details Lattice Gauge Theories Have Gravitational Duals Lattice Gauge Theories Have Gravitational Duals

2002-07-25

arxiv.org/abs/hep-th/0207226v2

Physics

High Energy Physics

High Energy Physics - Theory

Minor changes, typos fixed and references added

Scientific paper

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.

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