What does the sphere free energy know?

by Bernardo Zan (Princeton University)

Wednesday 12 Jan 2022, 15:00 → 16:00 Europe/Rome

P4C (Dipartimento di Fisica e Astronomia - Edificio Paolotti)

I will consider the sphere free energy of three dimensional theories with N=2 supersymmetry and a holographic dual. I will discuss which bulk interaction terms are possible and show that the sphere free energy is independent on many of them. Then, I will focus on prepotential interactions, on which the sphere free energy does depend. I will show that the sphere free energy is very closely related to the prepotential in several theories, and give a conjecture for the general case. Based on 2107.12382 and 2112.06931.