Supergravity Duals of Matrix String Theory

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.

LaTeX2e, 35 pages, minor changes, references added

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• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• Non-semisimple and Complex Gaugings of N=16 Supergravity
• SO(9) supergravity in two dimensions
• Holographic Correlators in a Flow to a Fixed Point
• Vacua of Maximal Gauged D=3 Supergravities
• Higher spin holography for SYM in d dimensions
• Domain walls in three dimensional gauged supergravity
• Holography of D-Brane Reconnection
• Mapping the vacuum structure of gauged maximal supergravities: an application of high-performance symbolic algebra
• String Theory on Dp-plane waves
• 1/2-BPS Domain wall from N=10 three dimensional gauged supergravity
• AdS Duals of Matrix Strings
• Fermionic probes of local quantum criticality in one dimension