We introduce Ward identities for superamplitudes in D-dimensional $$ \mathcal{N} $$ -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 − $$ \mathcal{N} $$ or (D − 2)L + 2 − $$ 2\mathcal{N} $$ , respectively. This explains why soft limits predictions from superamplitudes and from superspace linearized superinvariants agree.
{ "_oai": { "updated": "2024-06-06T18:30:38Z", "id": "oai:repo.scoap3.org:86083", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Stanford Institute for Theoretical Physics and Department of Physics, Stanford University, Stanford, CA, 94305, USA", "organization": "Stanford University" } ], "surname": "Kallosh", "email": "kallosh@stanford.edu", "full_name": "Kallosh, Renata", "given_names": "Renata" } ], "titles": [ { "source": "Springer", "title": "Ward identities for superamplitudes" } ], "dois": [ { "value": "10.1007/JHEP06(2024)035" } ], "publication_info": [ { "page_end": "16", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2024", "artid": "JHEP06(2024)035", "year": 2024, "page_start": "1", "journal_issue": "6" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-06-06T18:30:26.244285", "source": "Springer", "method": "Springer", "submission_number": "c8694406243211ef9fecbe60ec5a7b90" }, "page_nr": [ 16 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2024" } ], "control_number": "86083", "record_creation_date": "2024-06-06T18:30:26.244319", "_files": [ { "checksum": "md5:d0a1e5e5b68fafa9d9414b4ac6fd3f15", "filetype": "xml", "bucket": "aa767a79-5ea7-4c78-9f21-676ac3698cad", "version_id": "92a640dd-68ea-45f0-a881-95f09ac62374", "key": "10.1007/JHEP06(2024)035.xml", "size": 11274 }, { "checksum": "md5:098d6977106b268cfa9ae74f1164f5a1", "filetype": "pdf/a", "bucket": "aa767a79-5ea7-4c78-9f21-676ac3698cad", "version_id": "5cbe9e1d-0ecf-4226-8933-318f59b7b81f", "key": "10.1007/JHEP06(2024)035_a.pdf", "size": 299584 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2402.03453" } ], "abstracts": [ { "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." } ], "imprints": [ { "date": "2024-06-06", "publisher": "Springer" } ] }