QG Seminar (Zoom): Dualities and the Compactifiability of Moduli Space

QG Seminar

Speaker: Matilda Delgado (Harvard U., Phys. Dept. and Garching, Max Planck Inst.)

Title: Dualities and the Compactifiability of Moduli Space

Abstract:

After introducing (self-)dualities in string theory and their action on the field content & spectrum of the theory, I will present the notion of compactifiability for the moduli space of massless fields as the condition that its volume is finite or grows no faster than Euclidean space. I will argue that compactifiability generically implies the existence of non-trivial dualities by providing evidence from string theory. Moreover, I will explain how one can connect compactifiability to the condition that the spectrum of objects charged under the duality group transform in a semisimple representation. Finally, I will provide a bottom-up argument for compactifiability, and argue that it (at least in supersymmetric cases) can be explained by the finiteness of the number of massless states upon compactification to 1D. Based on arXiv:2412.03640.

Zoom Link: 

https://oist.zoom.us/j/95632166547?pwd=0bcmAkyNKQQd9p3KWwQ1aQeslQfFNy.1

Meeting ID: 956 3216 6547

Passcode: 915798