Enhanced Duality in 4D Supergravity
High Energy Physics - Theory
2024-06-03 v2
Abstract
U-duality imposes strong constraints on the structure of divergences in supergravity. But Gaillard-Zumino Sp duality in D=4 has more symmetries than U-duality. For example, in the dimension of Sp(56) is 1596, whereas its U-duality subgroup has a dimension of 133. In comparison, in D maximal dualities are U-dualities. We argue that the extra dualities in 4D, enhancing U-duality, determine the properties of perturbative quantum supergravity. The presence/absence of enhanced dualities suggests a possible explanation of the results of the amplitude loop computations in D-dimensional supergravities and of the special status of D = 4 in this respect.
Cite
@article{arxiv.2405.20275,
title = {Enhanced Duality in 4D Supergravity},
author = {Renata Kallosh},
journal= {arXiv preprint arXiv:2405.20275},
year = {2024}
}