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Large N BPS states and emergent quantum gravity

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arxiv hep-th/0507203 v3 pith:E7BXW6IV submitted 2005-07-20 hep-th

Large N BPS states and emergent quantum gravity

classification hep-th
keywords statesdescriptiondynamicsgiantheuristicphysicsquantumsome
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper provides a heuristic derivation of how classical gravitational physics in the AdS/CFT correspondence appears from the strong dynamics of the N=4 SYM theory in a systematic way. We do this in a minisuperspace approximation by studying 1/8 BPS configurations. We show that this is related to a gauged matrix quantum mechanics of commuting matrices. We can show that our description matches the semiclassical physics of 1/8 BPS states in supergravity. We also provide a heuristic description of how massive strings appear in the geometry, and how at strong 't Hooft coupling they become local on the five sphere suggesting that they can be realized as a sigma model on a weakly curved background. In the process we also clarify some aspects of 1/2 BPS states. We also have a conjectured realization of some 1/8 BPS giant graviton wave functions in the dynamics, which captures all 1/8 BPS giant gravitons constructed by Mikhailov. This leads to a lot of different topology changes which can be treated heuristically.

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Cited by 2 Pith papers

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  2. (Un)solvable Matrix Models for BPS Correlators

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    Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to kno...