Ward identities for superamplitudes

Renata Kallosh (Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA, 94305, USA)

We introduce Ward identities for superamplitudes in D-dimensional N $$ \mathcal{N} $$ -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 $$ \mathcal{N} $$ or (D − 2)L + 2 − 2 N $$ 2\mathcal{N} $$ , respectively. This explains why soft limits predictions from superamplitudes and from superspace linearized superinvariants agree.

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      "source": "Springer", 
      "value": "We introduce Ward identities for superamplitudes in D-dimensional   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$ -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 \u2212 2)L + 2 \u2212   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  or (D \u2212 2)L + 2 \u2212   <math> <mn>2</mn> <mi>N</mi> </math>  $$ 2\\mathcal{N} $$ , respectively. This explains why soft limits predictions from superamplitudes and from superspace linearized superinvariants agree."
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Published on:
06 June 2024
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2024 (2024)
Issue 6
Pages 1-16
DOI:
https://doi.org/10.1007/JHEP06(2024)035
arXiv:
2402.03453
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: