<p>We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an <i>S</i><sup>8</sup> 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(<i>p</i>) × SO(9 − <i>p</i>) 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.</p>

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Holographic deformations of matrix models

  • Alfred Bovon,
  • Henning Samtleben,
  • Dimitrios Tsimpis

摘要

We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an S8 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) × 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.