
TL;DR
This paper proposes a family of matrix quantum mechanical models that are conjectured to be holographically dual to certain M-theory backgrounds, extending the BMN matrix model framework to new geometries.
Contribution
It introduces a new class of matrix models derived from superconformal field theories, generalizing the BMN model to pp-wave backgrounds from AdS$_4$×X$_7$.
Findings
Conjecture of holographic duality between matrix models and M-theory backgrounds.
Discussion of supersymmetric black objects and horizon bounds in pp-wave backgrounds.
Connection of matrix models to dimensional reduction of superconformal field theories.
Abstract
We conjecture a family of matrix quantum mechanical models that are holographically dual to discrete light-cone quantization of M-theory in pp-wave-like backgrounds. These backgrounds can be obtained from a Penrose limit of AdS, where is Einstein. The matrix models arise from a classically consistent dimensional reduction of the UV Lagrangians of superconformal field theories, in close analogy with how the BMN matrix model is obtained by dimensional reduction from super Yang-Mills theory. We also discuss about supersymmetric black objects in pp-wave background by studying the Witten index and speculate that the area of the horizon is bounded from above for a fixed .
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Algebraic structures and combinatorial models
