Supergravity scattering amplitudes

Dudas, Emilian; Gherghetta, Tony; Olive, Keith A.; Verner, Sarunas

doi:10.1103/physrevd.108.076024

Title: Supergravity scattering amplitudes

Journal Article · 30 October 2023 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.108.076024 · OSTI ID:2204061

Dudas, Emilian ^[1]; Gherghetta, Tony ^[2]; Olive, Keith A. ^[2];

^[3]

Institut Polytechnique de Paris, Palaiseau (France)
University of Minnesota, Minneapolis, MN (United States)
University of Florida, Gainesville, FL (United States)

Supergravity theories with nonminimal Kähler potentials are characterized by a nontrivial field space manifold with corresponding nontrivial kinetic terms. The scattering amplitudes in these theories can be calculated at fixed background field values by making a field redefinition to Riemann normal coordinates. Because of the Kähler structure of supergravity, a more compact method for calculating amplitudes is obtained by a redefinition to Kähler normal coordinates. We compare both methods and calculate the explicit transformations and amplitudes for several examples in the context of no-scale supergravity with one and two chiral superfields. We show that in all cases the equivalence of the scattering amplitudes using either Riemann normal or Kähler normal coordinates is possible only at extremal points of the scalar potential.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: SC0011842; SC0022148; PHY-1607611

OSTI ID:: 2204061

Alternate ID(s):: OSTI ID: 2234275

Journal Information:: Physical Review. D., Vol. 108, Issue 7; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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