High Energy Theory Group Meeting: Mirror Model of the Fishnet Theory

Zoom: https://tau-ac-il.zoom.us/j/82580881224?pwd=U1hrRkp1VGVuU0czT1pKRkhnbXpYdz09

Abstract: 

The fishnet theory is a non-unitary conformal field theory of two complex scalars interacting via a single quartic interaction vertex. It was originally obtained as a double-scaling limit of the gamma-deformed version of N=4 SYM. It admits very few Feynman diagrams and, in the bulk, they all have the structure of a square lattice. This explains why the theory shares the integrability of a non-compact conformal spin chain.  In this talk, we present a derivation of the thermodynamic Bethe ansatz (TBA) equations for the conformal dimensions of a certain class of local operators. This requires us to understand the so-called mirror model, which we solve exactly. In addition to the TBA, we mention applications to the computations of an infinite family of fishnet integrals generalising the well-known ladder diagrams.

Seminar Organizer: Andrea Guerrieri