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

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...

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Detalles Bibliográficos
Autores principales: Jorrin, David Gustavo, Michalski, Gustavo, Schvellinger, Martín Alejandro
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Física
AdS-CFT Correspondence
Gauge-gravity correspondence
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/124161
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-124161
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
AdS-CFT Correspondence
Gauge-gravity correspondence
spellingShingle Física
AdS-CFT Correspondence
Gauge-gravity correspondence
Jorrin, David Gustavo
Michalski, Gustavo
Schvellinger, Martín Alejandro
Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
topic_facet Física
AdS-CFT Correspondence
Gauge-gravity correspondence
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.
format Articulo
Articulo
author Jorrin, David Gustavo
Michalski, Gustavo
Schvellinger, Martín Alejandro
author_facet Jorrin, David Gustavo
Michalski, Gustavo
Schvellinger, Martín Alejandro
author_sort Jorrin, David Gustavo
title Spin-1/2 fermionic operators of <i>N</i> = 4 SYM theory and DIS from type IIB supergravity
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
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/124161
work_keys_str_mv AT jorrindavidgustavo spin12fermionicoperatorsofini4symtheoryanddisfromtypeiibsupergravity
AT michalskigustavo spin12fermionicoperatorsofini4symtheoryanddisfromtypeiibsupergravity
AT schvellingermartinalejandro spin12fermionicoperatorsofini4symtheoryanddisfromtypeiibsupergravity
bdutipo_str Repositorios
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