High Energy Physics - Theory
Title: Large N BPS states and emergent quantum gravity
Authors: David Berenstein 
(Submitted on 20 Jul 2005 (v1), last revised 6 Dec 2005 (this version, v3)) 
Abstract: 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. 
Comments: 	54 pages, 8 figures, Latex. v2: typos corrected, improved figures, comments on string tension added. v3: typos corrected	
Subjects: 	High Energy Physics - Theory (hep-th)	
Journal reference: 	JHEP0601:125,2006	
Cite as: 	arXiv:hep-th/0507203v3	
Submission history
From: David Berenstein [view email] 
[v1] Wed, 20 Jul 2005 20:19:18 GMT (87kb)
[v2] Tue, 26 Jul 2005 21:22:46 GMT (92kb)
[v3] Tue, 6 Dec 2005 19:56:27 GMT (92kb)