# 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 described 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 this translationally invariant background encodes the spatial discreteness of the gauge theory, and we relate the cutoff on allowed momenta to a giant graviton effect in the bulk.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Science (US)

- OSTI Identifier:
- 801802

- Report Number(s):
- SLAC-PUB-9488

TRN: US0204758

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 5 Sep 2002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; GRAVITONS; SUPERSYMMETRY; STANFORD LINEAR ACCELERATOR CENTER

### Citation Formats

```
Hellerman, Simeon.
```*Lattice Gauge Theories Have Gravitational Duals*. United States: N. p., 2002.
Web. doi:10.2172/801802.

```
Hellerman, Simeon.
```*Lattice Gauge Theories Have Gravitational Duals*. United States. doi:10.2172/801802.

```
Hellerman, Simeon. Thu .
"Lattice Gauge Theories Have Gravitational Duals". United States. doi:10.2172/801802. https://www.osti.gov/servlets/purl/801802.
```

```
@article{osti_801802,
```

title = {Lattice Gauge Theories Have Gravitational Duals},

author = {Hellerman, Simeon},

abstractNote = {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 described 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 this translationally invariant background encodes the spatial discreteness of the gauge theory, and we relate the cutoff on allowed momenta to a giant graviton effect in the bulk.},

doi = {10.2172/801802},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2002},

month = {9}

}