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arXiv · 2405.20275

Enhanced Duality in 4D Supergravity

Renata Kallosh
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Abstract

U-duality imposes strong constraints on the structure of divergences in supergravity. But Gaillard-Zumino Sp$(2n_v, \mathbb{R})$ duality in D=4 has more symmetries than U-duality. For example, in $N = 8$ the dimension of Sp(56) is 1596, whereas its U-duality subgroup $E_{7(7)}$ has a dimension of 133. In comparison, in D $> 4$ 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.

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Renata Kallosh. 2024-05-30. Enhanced Duality in 4D Supergravity. https://arxiv.org/abs/2405.20275

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