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2018

Bootstrapping the simplest correlator in planar N = 4 SYM at all loops

Coronado, Frank

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We present the full form of a four-point correlation function of large BPS operators in planar N = 4 Super Yang-Mills to any loop order.

We do this by following a bootstrap philosophy based on three simple axioms pertaining to (i) the space of functions arising at each loop order, (ii) the behaviour in the OPE in a double-trace dominated channel and (iii) the behaviour under a double null limit.
We discuss how these bootstrap axioms are in turn strongly motivated by empirical observations up to nine loops unveiled through integrability methods in our previous work [9] on this simplest correlation function.

Bootstrapping the simplest correlator in planar N = 4 SYM at all loops · Around

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