Protected spectrum of AdS3/CFT2 from integrability
OKC/Nordita High-Energy Physics Theory seminar
Wednesday 07 June 2017
to 14:30 at
Alessandro Sfondrini (ETH, Zurich)
Integrable models are a class of quantum and classical theories that possess rich symmetries which constrain their dynamics, often leading to their exact solution. Such models also appeared in AdS/CFT, and allowed e.g. to study the spectrum of non-protected operators in planar N=4 super Yang-Mills with stunning precision and efficiency. Indeed in recent years integrability manifested itself in several AdS/CFT dual pairs, and could be exploited in the computation of a rich set of observables through the bootstrap of appropriate algebraic objects, such as the S-matrix or certain form factors.
In my talk I will work out on the blackboard a relatively simple example: the computation of the (protected and non-protected) spectrum of AdS3xS3xT4 and AdS3xS3xS3xS1 superstrings in the planar limit from the S-matrix bootstrap. In particular, I will explicitly derive the protected spectrum for string on these backgrounds at generic values of fluxes and tension, yielding a surprising result for AdS3xS3xS3xS1. If time allows, I will then discuss how the approach used there can be adapted to other backgrounds and observables such as three- and higher-point functions.