An all order identity between ABJM and N = 4 SYM four-point amplitudes

Autores
Bianchi, Marco S.; Leoni Olivera, Matías; Penati, Silvia
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We derive an exact algebraic identity between the two-loop four-point amplitude in ABJM theory and the corresponding one-loop amplitude in N = 4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived.
Fil: Bianchi, Marco S.. Universita Degli Studi Di Milano-bicocca; Italia
Fil: Leoni Olivera, Matías. Universita Degli Studi Di Milano-bicocca; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria; Argentina
Fil: Penati, Silvia. Universita Degli Studi Di Milano-bicocca; Italia
Materia
CHERN-SIMONS THEORIES
SCATTERING AMPLITUDES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/115003
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/115003
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An all order identity between ABJM and N = 4 SYM four-point amplitudesBianchi, Marco S.Leoni Olivera, MatíasPenati, SilviaCHERN-SIMONS THEORIESSCATTERING AMPLITUDEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We derive an exact algebraic identity between the two-loop four-point amplitude in ABJM theory and the corresponding one-loop amplitude in N = 4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived.Fil: Bianchi, Marco S.. Universita Degli Studi Di Milano-bicocca; ItaliaFil: Leoni Olivera, Matías. Universita Degli Studi Di Milano-bicocca; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria; ArgentinaFil: Penati, Silvia. Universita Degli Studi Di Milano-bicocca; ItaliaSpringer2012-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/115003Bianchi, Marco S.; Leoni Olivera, Matías; Penati, Silvia; An all order identity between ABJM and N = 4 SYM four-point amplitudes; Springer; Journal of High Energy Physics; 2012; 4; 4-2012; 45-671126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP04(2012)045info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP04(2012)045info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:59:15Zoai:ri.conicet.gov.ar:11336/115003instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:59:16.258CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An all order identity between ABJM and N = 4 SYM four-point amplitudes
title An all order identity between ABJM and N = 4 SYM four-point amplitudes
spellingShingle An all order identity between ABJM and N = 4 SYM four-point amplitudes
Bianchi, Marco S.
CHERN-SIMONS THEORIES
SCATTERING AMPLITUDES
title_short An all order identity between ABJM and N = 4 SYM four-point amplitudes
title_full An all order identity between ABJM and N = 4 SYM four-point amplitudes
title_fullStr An all order identity between ABJM and N = 4 SYM four-point amplitudes
title_full_unstemmed An all order identity between ABJM and N = 4 SYM four-point amplitudes
title_sort An all order identity between ABJM and N = 4 SYM four-point amplitudes
dc.creator.none.fl_str_mv Bianchi, Marco S.
Leoni Olivera, Matías
Penati, Silvia
author Bianchi, Marco S.
author_facet Bianchi, Marco S.
Leoni Olivera, Matías
Penati, Silvia
author_role author
author2 Leoni Olivera, Matías
Penati, Silvia
author2_role author
author
dc.subject.none.fl_str_mv CHERN-SIMONS THEORIES
SCATTERING AMPLITUDES
topic CHERN-SIMONS THEORIES
SCATTERING AMPLITUDES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We derive an exact algebraic identity between the two-loop four-point amplitude in ABJM theory and the corresponding one-loop amplitude in N = 4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived.
Fil: Bianchi, Marco S.. Universita Degli Studi Di Milano-bicocca; Italia
Fil: Leoni Olivera, Matías. Universita Degli Studi Di Milano-bicocca; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria; Argentina
Fil: Penati, Silvia. Universita Degli Studi Di Milano-bicocca; Italia
description We derive an exact algebraic identity between the two-loop four-point amplitude in ABJM theory and the corresponding one-loop amplitude in N = 4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived.
publishDate 2012
dc.date.none.fl_str_mv 2012-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/115003
Bianchi, Marco S.; Leoni Olivera, Matías; Penati, Silvia; An all order identity between ABJM and N = 4 SYM four-point amplitudes; Springer; Journal of High Energy Physics; 2012; 4; 4-2012; 45-67
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/115003
identifier_str_mv Bianchi, Marco S.; Leoni Olivera, Matías; Penati, Silvia; An all order identity between ABJM and N = 4 SYM four-point amplitudes; Springer; Journal of High Energy Physics; 2012; 4; 4-2012; 45-67
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP04(2012)045
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP04(2012)045
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269571173580800
score 13.13397

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