Black hole partition function using the hybrid formalism of superstrings
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.84.026005 http://hdl.handle.net/11449/226471 |
Resumo: | The IIA superstring partition function ZIIA, on a Euclidean AdS2×S2×CY3 computes the modified elliptic genus ZBH of the associated black hole. The hybrid formalism of superstrings on AdS2×S2, defined as a sigma model on the coset supermanifold PSU(1,1|2)/U(1)×U(1) with a Wess-Zumino term, together with Calabi-Yau and chiral boson conformal field theories, is used to calculate the partition function of IIA superstrings on the Euclidean attractor geometry AdS2×S2×CY3. Instead of the kappa symmetry analysis used by Beasely et al. in Ref. , we use world-sheet superconformal invariance to construct a nilpotent Becchi, Rouet, Stora, Tyutin (BRST) operator. The sigma model action is explicitly shown to be closed under this BRST operator. Localization arguments are then used to deform the world-sheet path integral with the addition of a BRST exact term, where contributions arise only from the center of AdS2 and the north and south poles of S2. This leads to the Ooguri, Strominger, and Vafa result ZBH=Z IIA=|Ztop|2, where |Ztop|2 is the square of the topological string partition function. © 2011 American Physical Society. |
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Black hole partition function using the hybrid formalism of superstringsThe IIA superstring partition function ZIIA, on a Euclidean AdS2×S2×CY3 computes the modified elliptic genus ZBH of the associated black hole. The hybrid formalism of superstrings on AdS2×S2, defined as a sigma model on the coset supermanifold PSU(1,1|2)/U(1)×U(1) with a Wess-Zumino term, together with Calabi-Yau and chiral boson conformal field theories, is used to calculate the partition function of IIA superstrings on the Euclidean attractor geometry AdS2×S2×CY3. Instead of the kappa symmetry analysis used by Beasely et al. in Ref. , we use world-sheet superconformal invariance to construct a nilpotent Becchi, Rouet, Stora, Tyutin (BRST) operator. The sigma model action is explicitly shown to be closed under this BRST operator. Localization arguments are then used to deform the world-sheet path integral with the addition of a BRST exact term, where contributions arise only from the center of AdS2 and the north and south poles of S2. This leads to the Ooguri, Strominger, and Vafa result ZBH=Z IIA=|Ztop|2, where |Ztop|2 is the square of the topological string partition function. © 2011 American Physical Society.Instituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900, São PauloInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona, 145, 01405-900, São PauloUniversidade Estadual Paulista (UNESP)Chandrasekhar, B. [UNESP]2022-04-29T00:13:26Z2022-04-29T00:13:26Z2011-07-20info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.84.026005Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 84, n. 2, 2011.1550-79981550-2368http://hdl.handle.net/11449/22647110.1103/PhysRevD.84.0260052-s2.0-80051686222Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D - Particles, Fields, Gravitation and Cosmologyinfo:eu-repo/semantics/openAccess2022-04-29T00:13:26Zoai:repositorio.unesp.br:11449/226471Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:41:29.037520Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Black hole partition function using the hybrid formalism of superstrings |
title |
Black hole partition function using the hybrid formalism of superstrings |
spellingShingle |
Black hole partition function using the hybrid formalism of superstrings Chandrasekhar, B. [UNESP] |
title_short |
Black hole partition function using the hybrid formalism of superstrings |
title_full |
Black hole partition function using the hybrid formalism of superstrings |
title_fullStr |
Black hole partition function using the hybrid formalism of superstrings |
title_full_unstemmed |
Black hole partition function using the hybrid formalism of superstrings |
title_sort |
Black hole partition function using the hybrid formalism of superstrings |
author |
Chandrasekhar, B. [UNESP] |
author_facet |
Chandrasekhar, B. [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Chandrasekhar, B. [UNESP] |
description |
The IIA superstring partition function ZIIA, on a Euclidean AdS2×S2×CY3 computes the modified elliptic genus ZBH of the associated black hole. The hybrid formalism of superstrings on AdS2×S2, defined as a sigma model on the coset supermanifold PSU(1,1|2)/U(1)×U(1) with a Wess-Zumino term, together with Calabi-Yau and chiral boson conformal field theories, is used to calculate the partition function of IIA superstrings on the Euclidean attractor geometry AdS2×S2×CY3. Instead of the kappa symmetry analysis used by Beasely et al. in Ref. , we use world-sheet superconformal invariance to construct a nilpotent Becchi, Rouet, Stora, Tyutin (BRST) operator. The sigma model action is explicitly shown to be closed under this BRST operator. Localization arguments are then used to deform the world-sheet path integral with the addition of a BRST exact term, where contributions arise only from the center of AdS2 and the north and south poles of S2. This leads to the Ooguri, Strominger, and Vafa result ZBH=Z IIA=|Ztop|2, where |Ztop|2 is the square of the topological string partition function. © 2011 American Physical Society. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-07-20 2022-04-29T00:13:26Z 2022-04-29T00:13:26Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevD.84.026005 Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 84, n. 2, 2011. 1550-7998 1550-2368 http://hdl.handle.net/11449/226471 10.1103/PhysRevD.84.026005 2-s2.0-80051686222 |
url |
http://dx.doi.org/10.1103/PhysRevD.84.026005 http://hdl.handle.net/11449/226471 |
identifier_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 84, n. 2, 2011. 1550-7998 1550-2368 10.1103/PhysRevD.84.026005 2-s2.0-80051686222 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1808129347072032768 |