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arXiv · hep-th/0611290

Correlators, Probabilities and Topologies in N=4 SYM

T. Brown·R. de Mello Koch·S. Ramgoolam·N. Toumbas
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Abstract

We calculate transition probabilities for various processes involving giant gravitons and small gravitons in AdS space, using the dual N=4 SYM theory. The normalization factors for these probabilities involve, in general, correlators for manifolds of non-trivial topology which are obtained by gluing simpler four-manifolds. This follows from the factorization properties which relate CFT correlators for different topologies. These points are illustrated, in the first instance, in the simpler example of a two dimensional Matrix CFT. We give the bulk five dimensional interpretation, involving neighborhoods of Witten graphs, of these gluing properties of the four dimensional boundary CFT. As a corollary we give a simple description, based on Witten graphs, of a multiplicity of bulk topologies corresponding to a fixed boundary topology. We also propose to interpret the correlators as topology-changing transition amplitudes between LLM geometries.

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T. Brown, R. de Mello Koch, S. Ramgoolam, N. Toumbas. 2006-12-15. Correlators, Probabilities and Topologies in N=4 SYM. https://doi.org/10.1088/1126-6708%2F2007%2F03%2F072

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