Ward Identities for Superamplitudes

Fuente: arXiv
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Autor principal: Kallosh, Renata
Formato: Preprint
Publicado: 2024
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author Kallosh, Renata
author_facet Kallosh, Renata
contents We introduce Ward identities for superamplitudes in D-dimensional N-extended supergravities. These identities help to clarify the relation between linearized superinvariants and superamplitudes. The solutions of these Ward identities for an $n$-partice superamplitude take a simple universal form for half-BPS and non-BPS amplitudes. These solutions involve arbitrary functions of spinor helicity and Grassmann variables for each of the $n$ superparticles. The dimension of these functions at a given loop order is exactly the same as the dimension of the relevant superspace Lagrangians depending on half-BPS or non-BPS superfields, given by $(D-2) L +2- N$ or $(D-2) L +2- 2 N$, respectively. This explains why soft limits predictions from superamplitudes and from superspace linearized superinvariants agree.
format Preprint
id arxiv_https___arxiv_org_abs_2402_03453
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ward Identities for Superamplitudes
Kallosh, Renata
High Energy Physics - Theory
We introduce Ward identities for superamplitudes in D-dimensional N-extended supergravities. These identities help to clarify the relation between linearized superinvariants and superamplitudes. The solutions of these Ward identities for an $n$-partice superamplitude take a simple universal form for half-BPS and non-BPS amplitudes. These solutions involve arbitrary functions of spinor helicity and Grassmann variables for each of the $n$ superparticles. The dimension of these functions at a given loop order is exactly the same as the dimension of the relevant superspace Lagrangians depending on half-BPS or non-BPS superfields, given by $(D-2) L +2- N$ or $(D-2) L +2- 2 N$, respectively. This explains why soft limits predictions from superamplitudes and from superspace linearized superinvariants agree.
title Ward Identities for Superamplitudes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2402.03453