Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of scalar fields, carrying the appropriate R-charge, with a tot...

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Autores principales: Correa, Diego Hernán, Silva, Guillermo Ariel
Formato: Articulo Revision
Lenguaje:Inglés
Publicado: 2006
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83092
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id I19-R120-10915-83092
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
D-branes
Penrose limit and pp-wave background
spellingShingle Física
AdS-CFT Correspondence
D-branes
Penrose limit and pp-wave background
Correa, Diego Hernán
Silva, Guillermo Ariel
Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons
topic_facet Física
AdS-CFT Correspondence
D-branes
Penrose limit and pp-wave background
description We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of scalar fields, carrying the appropriate R-charge, with a totally symmetric tensor. We represent the open string motion along AdS directions by appending to the giant graviton operator a product of fields including covariant derivatives. We derive a bosonic lattice Hamiltonian that describes the mixing of these excited AdS giants operators under the action of the one-loop dilatation operator of script N sign = 4 SYM. This Hamiltonian captures several intuitive differences with respect to the case of sphere giant gravitons. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the fields products appended to the AdS giant operators. It also allows us to show evidence for the existence of continuous bands in the Hamiltonian spectrum.
format Articulo
Revision
author Correa, Diego Hernán
Silva, Guillermo Ariel
author_facet Correa, Diego Hernán
Silva, Guillermo Ariel
author_sort Correa, Diego Hernán
title Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons
title_short Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons
title_full Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons
title_fullStr Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons
title_full_unstemmed Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons
title_sort dilatation operator and the super yang-mills duals of open strings on ads giant gravitons
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/83092
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AT silvaguillermoariel dilatationoperatorandthesuperyangmillsdualsofopenstringsonadsgiantgravitons
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