A Deconstruction Lattice Description of the D1D5 Brane World-Volume Gauge Theory

Abstract EN

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(Nc)×U(Nf), and U(Nf) being weakly gauged.

It describes the infrared limit of the D1/D5 brane system, which has been studied extensively as an example of the AdS3/CFT2 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 AdS3/CFT2 correspondence, particularly one that would exploit the recent worldsheet instanton analysis of Chen and Tong.