Supergravity Duals of Matrix String Theory

TL;DR

This paper explores the holographic duals of matrix string theories using warped AdS_3 supergravity backgrounds, matching spectra with dual gauge theories and analyzing the effects of warp factors on the mass-dimension correspondence.

Contribution

It explicitly solves linearized equations around near horizon geometries to determine spectra and connects supergravity results with dual gauge theories and orbifold superconformal field theories.

Findings

Spectrum of Kaluza-Klein primaries matches dual gauge theories

Modified mass-dimension dictionary due to warp factors

Connections established with orbifold superconformal field theories

Abstract

We study the holographic duals of type II and heterotic matrix string theories described by warped AdS_3 supergravities. By explicitly solving the linearized equations of motion around near horizon D-string geometries, we determine the spectrum of Kaluza-Klein primaries for type I, II supergravities on warped AdS_3 x S^7. The results match those coming from the dual two-dimensional gauge theories living on the D-string worldvolumes. We briefly discuss the connections with the N=(8,8), N=(8,0) orbifold superconformal field theories to which type IIB / heterotic matrix strings flow in the infrared. In particular, we associate the dimension (3/2, 3/2) twisted operator which brings the matrix string theories out from the conformal point (R^8)^N / S_N with the dilaton profile in the supergravity background. The familiar dictionary between masses and scaling dimensions of fields and operators are modified by the presence of non-trivial warp factors and running dilatons. These modifications are worked out for the general case of domain wall / QFT correspondences between supergravities on warped AdS_{d+1} x S^q geometries and super Yang-Mills theories with 16 supercharges.