Finiteness and the Emergence of Dualities

February 13, 2025
12:00pm to 1:00pm

IFT Seminar Room/Red Room

Specialist level
Speaker: 
Alessandra Grieco
Institution: 
IFT UAM/CSIC
Location&Place: 

IFT Seminar Room/Red Room

Abstract: 

After the usual paper discussion, Alessandra Grieco will give a talk on the paper "Finiteness and the Emergence of Dualities" (2412.03640).

"We argue that the finiteness of quantum gravity amplitudes in fully compactified theories (at least in supersymmetric cases) leads to a bottom-up prediction for the existence of non-trivial dualities. In particular, finiteness requires the moduli space of massless fields to be compactifiable, meaning that its volume must be finite or at least grow no faster than that of Euclidean space. Moreover, we relate the compactifiability of moduli spaces to the condition that the lattice of charged objects transform in a semisimple representation under the action of the duality group. These ideas are supported by a wide variety of string theory examples."