TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.2.047
TI  - Finiteness and the emergence of dualities
PY  - 2025/08/19
UR  - https://scipost.org/SciPostPhys.19.2.047
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 2
SP  - 047
A1  - Delgado, Matilda
AU  - van de Heisteeg, Damian
AU  - Raman, Sanjay
AU  - Torres, Ethan
AU  - Vafa, Cumrun
AU  - Xu, Kai
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.19.2.047,
	title={{Finiteness and the emergence of dualities}},
	author={Matilda Delgado and Damian van de Heisteeg and Sanjay Raman and Ethan Torres and Cumrun Vafa and Kai Xu},
	journal={SciPost Phys.},
	volume={19},
	pages={047},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.2.047},
	url={https://scipost.org/10.21468/SciPostPhys.19.2.047},
}