Unorientable Quantum Field Theories: from crosscaps to holography
par
Joao Caetano
→
Europe/Paris
Salle des Sommets (LAPTh)
Salle des Sommets
LAPTh
9, chemin de Bellevue
ANNECY
Description
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. I will also discuss the spin chain counterpart and generalizations thereof, called orientifold-defects.
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, and if time permits, discuss its holographic description and present a new solvable setup of AdS/CFT.