Geometry and topology of bubble solutions from gauge theory

We study how geometrical and topological aspects of certain 1/2 -BPS type IIB supergravity solutions are captured by the N = 4 super Yang-Mills gauge theory in the AdS/CFT context. The type IIB solutions are completely characterized by arbitrary droplets in a plane and we consider, in particular, co...

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Autores principales: Chen, Heng-Yu, Correa, Diego Hernán, Silva, Guillermo Ariel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
Materias:
Ciencias Exactas
Física
gauge theory
IIB solutions
Hamiltonians
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132741
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132741
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
gauge theory
IIB solutions
Hamiltonians
spellingShingle Ciencias Exactas
Física
gauge theory
IIB solutions
Hamiltonians
Chen, Heng-Yu
Correa, Diego Hernán
Silva, Guillermo Ariel
Geometry and topology of bubble solutions from gauge theory
topic_facet Ciencias Exactas
Física
gauge theory
IIB solutions
Hamiltonians
description We study how geometrical and topological aspects of certain 1/2 -BPS type IIB supergravity solutions are captured by the N = 4 super Yang-Mills gauge theory in the AdS/CFT context. The type IIB solutions are completely characterized by arbitrary droplets in a plane and we consider, in particular, concentric droplets. We probe the dual 1/2 -BPS operators of the gauge theory with single traces and extract their one- loop anomalous dimensions. The action of the one-loop dilatation operator can be reformulated as the Hamiltonian of a bosonic lattice. The operators defining the Hamiltonian encode the topology of the droplet. The axial symmetry of the droplets turns out to be essential for obtaining the spectrum of the Hamiltonians. In appropriate BMN limits, the near-BPS spectrum reproduces the spectrum of near-BPS string excitations propagating along each individual edge of the droplet of the dual geometric background. We also study semiclassical regimes for the Hamiltonians. We show that, for droplets having disconnected constituents, the Hamiltonian admits different complimentary semiclassical descriptions, each one replicating the semiclassical description for closed strings extending in each of the constituents.
format Articulo
Articulo
author Chen, Heng-Yu
Correa, Diego Hernán
Silva, Guillermo Ariel
author_facet Chen, Heng-Yu
Correa, Diego Hernán
Silva, Guillermo Ariel
author_sort Chen, Heng-Yu
title Geometry and topology of bubble solutions from gauge theory
title_short Geometry and topology of bubble solutions from gauge theory
title_full Geometry and topology of bubble solutions from gauge theory
title_fullStr Geometry and topology of bubble solutions from gauge theory
title_full_unstemmed Geometry and topology of bubble solutions from gauge theory
title_sort geometry and topology of bubble solutions from gauge theory
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/132741
work_keys_str_mv AT chenhengyu geometryandtopologyofbubblesolutionsfromgaugetheory
AT correadiegohernan geometryandtopologyofbubblesolutionsfromgaugetheory
AT silvaguillermoariel geometryandtopologyofbubblesolutionsfromgaugetheory
bdutipo_str Repositorios
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