arXiv 0812.27322008-12hep-th

关于AdS（3）/ CFT（2）中三点函数的评述

Comment on three-point function in AdS(3)/CFT(2)

Gaston Giribet, Lorena Nicolás

备注：: 21 pages. Version accepted for publication
发表信息：: J.Math.Phys.50:042304,2009
DOI：: 10.1063/1.3119003

摘要：

最近，在AdS_3 x S^3 x T^4中，已经发现体三点函数和边界三点函数与NSNS通量之间的精确一致性。这代表了超越超引力近似的AdS/CFT对应的非平凡检查，因为它对应于精确的世界表计算。当我们仔细观察这个计算时，我们会注意到，体边界一致性成立的一个关键点是对应于AdS_3和S^3几何体的世界面贡献之间有趣的相互抵消，这导致了最终三点函数的简单因式分解形式。本文回顾了这种抵消现象，并阐明了SU（2）与SL（2，R）结构常数之间的解析关系。特别地，我们讨论了与库仑气体表象的联系。我们还对四点函数作了一些评论。

英文摘要：

Recently, exact agreement has been found between bulk and boundary three-point functions in AdS_3 x S^3 x T^4 with NSNS fluxes. This represents a non-trivial check of AdS/CFT correspondence beyond the supergravity approximation as it corresponds to an exact worldsheet computation. When taking a closer look at this computation, one notices that a crucial point for the bulk-boundary agreement to hold is an intriguing mutual cancellation between worldsheet contributions corresponding to the AdS_3 and to the S^3 pieces of the geometry, what results in a simple factorized form for the final three-point function. In this note we review this cancellation and clarify some points about the analytic relation between the SU(2) and the SL(2,R) structure constants. In particular, we dicuss the connection to the Coulomb gas representation. We also make some comments on the four-point function.

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英文摘要：

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