Holographic deformations of matrix models

Abstract

We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an $S^8$ sphere. The theory captures the low-lying fluctuations around the non-conformal D0-brane near-horizon geometry, dual to operators in the BFSS matrix model. Upon exciting some of the supergravity scalars, we construct half-supersymmetric domain wall solutions preserving $SO(p)\times SO(9-p)$ subgroups of the original $SO(9)$ symmetry. We determine their uplift to ten dimensions and the corresponding distributions of D0-branes. Finally, we compute the fluctuations around these domain wall backgrounds, corresponding to holographic two-point correlation functions in the Coulomb branch of the matrix model.

47 pages, 13 figures, v3: Added comments, references, and an extended appendix on the holographic map. Version to appear in JHEP