English

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(2nv,R)(2n_v, \mathbb{R}) duality in D=4 has more symmetries than U-duality. For example, in N=8N = 8 the dimension of Sp(56) is 1596, whereas its U-duality subgroup E7(7)E_{7(7)} has a dimension of 133. In comparison, in D >4> 4 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.

Keywords

Cite

@article{arxiv.2405.20275,
  title  = {Enhanced Duality in 4D Supergravity},
  author = {Renata Kallosh},
  journal= {arXiv preprint arXiv:2405.20275},
  year   = {2024}
}
R2 v1 2026-06-28T16:47:32.274Z