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: | , |
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Formato: | Articulo Revision |
Lenguaje: | Inglés |
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2006
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83092 |
Aporte de: |
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I19-R120-10915-83092 |
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institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
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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 |
work_keys_str_mv |
AT correadiegohernan dilatationoperatorandthesuperyangmillsdualsofopenstringsonadsgiantgravitons AT silvaguillermoariel dilatationoperatorandthesuperyangmillsdualsofopenstringsonadsgiantgravitons |
bdutipo_str |
Repositorios |
_version_ |
1764820488286109698 |