# A Deconstruction Lattice Description of the D1/D5 Brane World-Volume Gauge Theory

## Abstract

I generalize the deconstruction lattice formulation of Endres and Kaplan to two-dimensional super-QCD with eight supercharges, denoted by (4,4), and bifundamental matter. I specialize to a particularly interesting (4,4) gauge theory, with gauge group $U\left({N}_{c}\right)\times U\left({N}_{f}\right)$ , and $U\left({N}_{f}\right)$ being weakly gauged. It describes the infrared limit of the D1/D5 brane system, which has been studied extensively as an example of the AdS _{3} /CFT _{2} correspondence. The construction here preserves two supercharges exactly and has a lattice structure quite similar to that which has previously appeared in the deconstruction approach, that is, site, link, and diagonal fields with both the Bose and Fermi statistics. I remark on possible applications of the lattice theory that would test the AdS _{3} /CFT _{2} correspondence, particularly one that would exploit the recent worldsheet instanton analysis of Chen and Tong.

- Authors:

- Department of Physics, Applied Physics and Astronomy, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1198049

- Grant/Contract Number:
- FG02-94ER-40823; FG02-08ER-41575

- Resource Type:
- Published Article

- Journal Name:
- Advances in High Energy Physics

- Additional Journal Information:
- Journal Name: Advances in High Energy Physics Journal Volume: 2011; Journal ID: ISSN 1687-7357

- Publisher:
- Hindawi Publishing Corporation

- Country of Publication:
- Egypt

- Language:
- English

### Citation Formats

```
Giedt, Joel. A Deconstruction Lattice Description of the D1/D5 Brane World-Volume Gauge Theory. Egypt: N. p., 2011.
Web. doi:10.1155/2011/241419.
```

```
Giedt, Joel. A Deconstruction Lattice Description of the D1/D5 Brane World-Volume Gauge Theory. Egypt. doi:10.1155/2011/241419.
```

```
Giedt, Joel. Sat .
"A Deconstruction Lattice Description of the D1/D5 Brane World-Volume Gauge Theory". Egypt. doi:10.1155/2011/241419.
```

```
@article{osti_1198049,
```

title = {A Deconstruction Lattice Description of the D1/D5 Brane World-Volume Gauge Theory},

author = {Giedt, Joel},

abstractNote = {I generalize the deconstruction lattice formulation of Endres and Kaplan to two-dimensional super-QCD with eight supercharges, denoted by (4,4), and bifundamental matter. I specialize to a particularly interesting (4,4) gauge theory, with gauge group U ( N c ) × U ( N f ) , and U ( N f ) being weakly gauged. It describes the infrared limit of the D1/D5 brane system, which has been studied extensively as an example of the AdS 3 /CFT 2 correspondence. The construction here preserves two supercharges exactly and has a lattice structure quite similar to that which has previously appeared in the deconstruction approach, that is, site, link, and diagonal fields with both the Bose and Fermi statistics. I remark on possible applications of the lattice theory that would test the AdS 3 /CFT 2 correspondence, particularly one that would exploit the recent worldsheet instanton analysis of Chen and Tong.},

doi = {10.1155/2011/241419},

journal = {Advances in High Energy Physics},

number = ,

volume = 2011,

place = {Egypt},

year = {2011},

month = {1}

}

DOI: 10.1155/2011/241419

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