Unorientable Quantum Field Theories: From crosscaps to holography

2022-10-25 09:00 - 10:30

Quantum Matter Seminar

Speaker: João Caetano (CERN)

Title: Unorientable Quantum Field Theories: From crosscaps to holography

Abstract: In two dimensions, one can study quantum field theories on unorientable manifolds by introducing crosscaps. This defines a class of states called crosscap states which share a few similarities with the notion of boundary states. In this talk, I will show that integrable theories remain integrable in the presence of crosscaps, and this allows to exactly determine the crosscap state.

In four dimensions, the analog is to place the quantum field theory on the real projective space, the simplest unorientable 4-manifold. I will show how to do this in the example of N=4 Supersymmetric Yang-Mills, discuss its holographic description and present a new solvable setup of AdS/CFT.