The S-matrix bootstrap can be used to carve out the space of physical theories. What can we say about the space of theories of quantum gravity based on this approach? Based on work with Andrea Guerrieri and Joao Penedones. Zoom link: https://zoom.us/j/94504664165?pwd=c3VmMDNsbkRwWWdoUUxIRDhUcjB4dz09 (for password email dionysios.anninos@kcl.ac.uk)

t.b.a. ------- Part of London Integrability Journal Club. If you are a new particiant, please register using the form on our website integrability-london.weebly.com. The link will be emailed.

TBA

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS5 x S5 background. This Y-system passes some very important tests: it reproduces the full asymptotic Bethe ansatz at large L, including the dressing factor, and it confirms all recently found wrapping corrections. We shall also describe the derivation of these equations in some detail.