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.

arXiv commentMinor changes, typos fixed and references added

References in corpus (9)

• D-branes, Quivers, and ALE Instantons
• The Holographic Bound in Anti-de Sitter Space
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Linear Dilatons, NS5-branes and Holography
• Orbifold Resolution by D-Branes
• Gauge/Gravity Duals with Holomorphic Dilaton
• Supersymmetric Three-Form Flux Perturbations on $Ad{S}_5$
• Supersymmetry on a Spatial Lattice
• D-Brane Primer

Cited by in corpus (9)

• Monopoles, Duality, and String Theory
• Semi-Holographic Fermi Liquids
• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• Influence of inhomogeneities on holographic mutual information and butterfly effect
• Integrable Spin Chains on the Conformal Moose
• Quantum Information Theory of the Gravitational Anomaly
• $SL(2,R)$ lattices as information processors
• Crystalline Geometries from Fermionic Vortex Lattice
• Gravitational Lorentz Violation and Superluminality via AdS/CFT Duality