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13 - The Ultraviolet Problem in Supergravity

from Part II - Structure and Properties of Sugra

Published online by Cambridge University Press:  29 May 2026

By
Guillaume Bossard and
K. S. Stelle
Edited by
Anna Ceresole and
Gianguido Dall'Agata
Anna Ceresole
Affiliation:
Istituto Nazionale di Fisica Nucleare (INFN), Turin Division
Gianguido Dall'Agata
Affiliation:
Università degli Studi di Padova, Italy
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Summary

We review the development of understanding for the problem of ultraviolet divergences in supergravity. This history proceeds from initial constructions of counterterms invariant under the relevant degrees of local supersymmetry, through a deeper understanding of non-renormalisation theorems for the relevant degrees of ``off-shell’’ linearly realisable supersymmetry, and on to current understanding of limitations on counterterm eligibility based on the duality symmetries of supergravity theories, as well as of the related structures emerging in superstring theory.

Keywords

Quantum corrections

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Type
Chapter
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Half a Century of Supergravity
Bridging between Einstein and the Quantum
 , pp. 97 - 104
Publisher: Cambridge University Press
Print publication year: 2026

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