Ward identities for superamplitudes

A bstract 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 univers...

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Bibliographic Details
Published in:The journal of high energy physics 2024-06, Vol.2024 (6), p.35-16
Main Author: Kallosh, Renata
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dimensional analysis
Elementary Particles
Extended Supersymmetry
Field Theories in Higher Dimensions
Helicity
Identities
Linearization
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supergravity Models
Symmetry
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Summary:A bstract 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.
ISSN:1029-8479
DOI:10.1007/JHEP06(2024)035