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

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Advances in High Energy Physics

DOI:https://doi.org/10.1155/2011/241419· OSTI ID:1198049

Giedt, Joel ^[1]

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

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.

• Sponsoring Organization: USDOE
• Grant/Contract Number: FG02-94ER-40823; FG02-08ER-41575
• OSTI ID: 1198049
• Journal Information: Advances in High Energy Physics, Journal Name: Advances in High Energy Physics Vol. 2011; ISSN 1687-7357
• Publisher: Hindawi Publishing Corporation
• Country of Publication: Egypt
• Language: English