Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity

Autores
Jorrin, David Gustavo; Michalski, Gustavo; Schvellinger, Martín Alejandro
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of N = 4 SYM theory in the planar limit and at strong coupling. Specifically, we focus on the twist-3 operator which is dual to a certain dilatino mode and gives the leading contribution to the hadronic tensor. We consider the Bjorken variable within the parametric range ; ; $$ {\uplambda}_{\mathrm{SYM}}^{-1/2}\ll x<1 $$; where the supergravity dual description holds. From dimensional reduction of type IIB supergravity on the five-sphere, we derive the interaction terms involving two dilatini and a massless vector field mode. This vector field is a linear combination of certain components of the graviton and the four-form potential. The angular integrals on the five-sphere lead to selection rules for the interactions with important consequences on the dynamics. This implies the existence of new terms contributing to the structure functions that we explicitly calculate. The leading contribution comes from the Pauli term, followed by the contributions from the new terms we found.
Instituto de Física La Plata
Materia
Física
AdS-CFT Correspondence
Gauge-gravity correspondence
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/124161

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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravityJorrin, David GustavoMichalski, GustavoSchvellinger, Martín AlejandroFísicaAdS-CFT CorrespondenceGauge-gravity correspondenceWe study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mi class="MJX-tex-caligraphic" mathvariant="script">N</mi></mrow></math> = 4 SYM theory in the planar limit and at strong coupling. Specifically, we focus on the twist-3 operator which is dual to a certain dilatino mode and gives the leading contribution to the hadronic tensor. We consider the Bjorken variable within the parametric range ; ; $$ {\uplambda}_{\mathrm{SYM}}^{-1/2}\ll x<1 $$; where the supergravity dual description holds. From dimensional reduction of type IIB supergravity on the five-sphere, we derive the interaction terms involving two dilatini and a massless vector field mode. This vector field is a linear combination of certain components of the graviton and the four-form potential. The angular integrals on the five-sphere lead to selection rules for the interactions with important consequences on the dynamics. This implies the existence of new terms contributing to the structure functions that we explicitly calculate. The leading contribution comes from the Pauli term, followed by the contributions from the new terms we found.Instituto de Física La Plata2020-06-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/124161enginfo:eu-repo/semantics/altIdentifier/issn/1029-8479info:eu-repo/semantics/altIdentifier/arxiv/2004.02909info:eu-repo/semantics/altIdentifier/doi/10.1007/jhep06(2020)063info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:29:28Zoai:sedici.unlp.edu.ar:10915/124161Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:29:28.658SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
title Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
spellingShingle Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
Jorrin, David Gustavo
Física
AdS-CFT Correspondence
Gauge-gravity correspondence
title_short Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
title_full Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
title_fullStr Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
title_full_unstemmed Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
title_sort Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
dc.creator.none.fl_str_mv Jorrin, David Gustavo
Michalski, Gustavo
Schvellinger, Martín Alejandro
author Jorrin, David Gustavo
author_facet Jorrin, David Gustavo
Michalski, Gustavo
Schvellinger, Martín Alejandro
author_role author
author2 Michalski, Gustavo
Schvellinger, Martín Alejandro
author2_role author
author
dc.subject.none.fl_str_mv Física
AdS-CFT Correspondence
Gauge-gravity correspondence
topic Física
AdS-CFT Correspondence
Gauge-gravity correspondence
dc.description.none.fl_txt_mv We study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mi class="MJX-tex-caligraphic" mathvariant="script">N</mi></mrow></math> = 4 SYM theory in the planar limit and at strong coupling. Specifically, we focus on the twist-3 operator which is dual to a certain dilatino mode and gives the leading contribution to the hadronic tensor. We consider the Bjorken variable within the parametric range ; ; $$ {\uplambda}_{\mathrm{SYM}}^{-1/2}\ll x<1 $$; where the supergravity dual description holds. From dimensional reduction of type IIB supergravity on the five-sphere, we derive the interaction terms involving two dilatini and a massless vector field mode. This vector field is a linear combination of certain components of the graviton and the four-form potential. The angular integrals on the five-sphere lead to selection rules for the interactions with important consequences on the dynamics. This implies the existence of new terms contributing to the structure functions that we explicitly calculate. The leading contribution comes from the Pauli term, followed by the contributions from the new terms we found.
Instituto de Física La Plata
description We study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow class="MJX-TeXAtom-ORD"><mi class="MJX-tex-caligraphic" mathvariant="script">N</mi></mrow></math> = 4 SYM theory in the planar limit and at strong coupling. Specifically, we focus on the twist-3 operator which is dual to a certain dilatino mode and gives the leading contribution to the hadronic tensor. We consider the Bjorken variable within the parametric range ; ; $$ {\uplambda}_{\mathrm{SYM}}^{-1/2}\ll x<1 $$; where the supergravity dual description holds. From dimensional reduction of type IIB supergravity on the five-sphere, we derive the interaction terms involving two dilatini and a massless vector field mode. This vector field is a linear combination of certain components of the graviton and the four-form potential. The angular integrals on the five-sphere lead to selection rules for the interactions with important consequences on the dynamics. This implies the existence of new terms contributing to the structure functions that we explicitly calculate. The leading contribution comes from the Pauli term, followed by the contributions from the new terms we found.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/124161
url http://sedici.unlp.edu.ar/handle/10915/124161
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/arxiv/2004.02909
info:eu-repo/semantics/altIdentifier/doi/10.1007/jhep06(2020)063
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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