Speaker: Andrea Cavaglià, Università degli studi di Torino

Where: Room 2.5 - Via Campi 213/B (Matematica)

When: Giovedì 11/04/2024, 14.00 - 15.00 

Title: Studying N=4 super Yang-Mills theory with integrability and conformal bootstrap

Abstract: I will discuss an interplay between two different methods, namely integrability and the numerical conformal bootstrap, to study of N=4 Super Yang-Mills theory. On the integrability side, I will describe an exact method to compute exactly the spectrum of the theory by solving a complex analysis problem, known as quantum spectral curve. Then, we will see how the knowledge of the spectrum, joined with local constraints typical of conformal field theories, allows to bootstrap with great precision other more complicated observables, for example the value of a 4-point correlator. The setup considered will be the one of observables living on a supersymmetric Wilson line. Based on works with N. Gromov, J. Julius, M. Preti and N. Sokolova.