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arXiv · 1304.1803

The N=4 Superconformal Bootstrap

Christopher Beem·Leonardo Rastelli·Balt C. van Rees
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Abstract

We implement the conformal bootstrap for N=4 superconformal field theories in four dimensions. Consistency of the four-point function of the stress-energy tensor multiplet imposes significant upper bounds for the scaling dimensions of unprotected local operators as functions of the central charge of the theory. At the threshold of exclusion, a particular operator spectrum appears to be singled out by the bootstrap constraints. For large values of the central charge, this extremal spectrum is compatible with that of supergravity in AdS_5 x S^5. For finite central charge, we conjecture that the extremal spectrum is that of N=4 SYM at an S-duality invariant value of the complexified gauge coupling.

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Christopher Beem, Leonardo Rastelli, Balt C. van Rees. 2013-04-05. The N=4 Superconformal Bootstrap. https://doi.org/10.1103/physrevlett.111.071601

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