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PP-wave/CFT_2 duality

Gomis, Jaume and Motl, Luboš and Strominger, Andrew (2002) PP-wave/CFT_2 duality. Journal of High Energy Physics, 2002 (11). Art. No. 16. ISSN 1126-6708. doi:10.1088/1126-6708/2002/11/016.

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We investigate the pp-wave limit of the AdS_3 × S^3 × K3 compactification of type-IIB string theory from the point of view of the dual Sym_N(K3) CFT. It is proposed that a fundamental string in this pp-wave geometry is dual to the c = 6 effective string of the Sym_N(K3) CFT, with the string bits of the latter being composed of twist operators. The massive fundamental string oscillators correspond to certain twisted Virasoro generators in the effective string. It is shown that both the ground states and the genus expansion parameter (at least in the orbifold limit of the CFT) coincide. Surprisingly the latter scales like J^2/N rather than the J^4/N^2 which might have been expected. We demonstrate a leading-order agreement between the pp-wave and CFT particle spectra. For a degenerate special case (one NS 5-brane) an intriguing complete agreement is found.

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Additional Information:© 2002 SISSA/ISAS. Received: October 10, 2002. Accepted: November 07, 2002. Published 18 November 2002. We are grateful to A. Adams, S. Hellerman, I. Chepelev, J. David, J. Maldacena, S. Minwalla, L. Rastelli, and J. Schwarz for very useful discussions. J.G. would like to thank the Harvard Theory Group for hospitality. This work was supported in part by Caltech DOE grant DE-FG03-92-ER40701, Harvard DOE grant DE-FG01-91ER40654 and the Harvard Society of Fellows.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Department of Energy (DOE)DE-FG01-91ER40654
Harvard Society of FellowsUNSPECIFIED
Subject Keywords:1/N Expansion AdS-CFT and dS-CFT Correspondence, Penrose limit and pp-wave background, Conformal Field Models in String Theory
Issue or Number:11
Classification Code:PACS: 11.25.Hf; 11.25.Tq; 02.40.-k; 11.15.Pg
Record Number:CaltechAUTHORS:20111102-150159839
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Official Citation:PP-Wave/CFT2 Duality Jaume Gomis et al JHEP11(2002)016
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27596
Deposited By: Ruth Sustaita
Deposited On:03 Nov 2011 02:25
Last Modified:09 Nov 2021 16:50

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