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arXiv · 2004.07282

Bootstrapping string theory on AdS$_5 \times S^5$

J. M. Drummond·H. Paul·M. Santagata
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Abstract

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of constraints on the form of the spectrum uniquely fix the amplitude and double-trace anomalous dimensions at this order. The results exhibit a number of natural patterns which suggest that the bootstrap approach outlined here will extend to higher orders in a simple way.

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J. M. Drummond, H. Paul, M. Santagata. 2020-04-15. Bootstrapping string theory on AdS$_5 \times S^5$. https://doi.org/10.1103/physrevd.108.026020

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