Published November 2002 | public
Journal Article

PP-wave/CFT_2 duality

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Abstract

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.

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.

Additional details

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August 19, 2023
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October 24, 2023