The Gravitational Path Integral for N=4 BPS Black Holes from Black Hole Microstate Counting
We use the exact degeneracy formula of single-centred 1 4 BPS dyonic black holes with unit torsion in 4D N = 4 toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result t...
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| Veröffentlicht in: | Annales Henri Poincare 2023-10, Vol.24 (10), p.3305-3346 |
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| container_title | Annales Henri Poincare |
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| creator | Cardoso, Gabriel Lopes Kidambi, Abhiram Nampuri, Suresh Reys, Valentin Rosselló, Martí |
| description | We use the exact degeneracy formula of single-centred
1
4
BPS dyonic black holes with unit torsion in 4D
N
=
4
toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result takes the form of a sum over Euclidean backgrounds including orbifolds of the Euclidean
AdS
2
×
S
2
attractor geometry. Using an
N
=
2
formalism, we determine the explicit form of the Abelian gauge potentials supporting these backgrounds. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies. We also comment on the relation between the associated 1D holographic models. |
| doi_str_mv | 10.1007/s00023-023-01297-y |
| format | Article |
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1
4
BPS dyonic black holes with unit torsion in 4D
N
=
4
toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result takes the form of a sum over Euclidean backgrounds including orbifolds of the Euclidean
AdS
2
×
S
2
attractor geometry. Using an
N
=
2
formalism, we determine the explicit form of the Abelian gauge potentials supporting these backgrounds. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies. We also comment on the relation between the associated 1D holographic models.</description><identifier>ISSN: 1424-0637</identifier><identifier>EISSN: 1424-0661</identifier><identifier>DOI: 10.1007/s00023-023-01297-y</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Black holes ; Classical and Quantum Gravitation ; Dynamical Systems and Ergodic Theory ; Elementary Particles ; Euclidean geometry ; High Energy Physics - Theory ; Mathematical and Computational Physics ; Mathematical Methods in Physics ; Original Paper ; Physics ; Physics and Astronomy ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String theory ; Theoretical</subject><ispartof>Annales Henri Poincare, 2023-10, Vol.24 (10), p.3305-3346</ispartof><rights>Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c353t-ef94315bbd3f5fc4697ef23ed62ba1b95ef5740a2c7ba218a08fb3a81664126c3</citedby><cites>FETCH-LOGICAL-c353t-ef94315bbd3f5fc4697ef23ed62ba1b95ef5740a2c7ba218a08fb3a81664126c3</cites><orcidid>0000-0003-1129-3729</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00023-023-01297-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00023-023-01297-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,885,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttps://hal.science/hal-03876106$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Cardoso, Gabriel Lopes</creatorcontrib><creatorcontrib>Kidambi, Abhiram</creatorcontrib><creatorcontrib>Nampuri, Suresh</creatorcontrib><creatorcontrib>Reys, Valentin</creatorcontrib><creatorcontrib>Rosselló, Martí</creatorcontrib><title>The Gravitational Path Integral for N=4 BPS Black Holes from Black Hole Microstate Counting</title><title>Annales Henri Poincare</title><addtitle>Ann. Henri Poincaré</addtitle><description>We use the exact degeneracy formula of single-centred
1
4
BPS dyonic black holes with unit torsion in 4D
N
=
4
toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result takes the form of a sum over Euclidean backgrounds including orbifolds of the Euclidean
AdS
2
×
S
2
attractor geometry. Using an
N
=
2
formalism, we determine the explicit form of the Abelian gauge potentials supporting these backgrounds. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies. We also comment on the relation between the associated 1D holographic models.</description><subject>Black holes</subject><subject>Classical and Quantum Gravitation</subject><subject>Dynamical Systems and Ergodic Theory</subject><subject>Elementary Particles</subject><subject>Euclidean geometry</subject><subject>High Energy Physics - Theory</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Methods in Physics</subject><subject>Original Paper</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Relativity Theory</subject><subject>String theory</subject><subject>Theoretical</subject><issn>1424-0637</issn><issn>1424-0661</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kM1PwjAYxhujiYj-A56aePIw7dfa7eABiAIJKol48tB0o4XhWLEdJPz3dsygJw9v3o_8nid5HwCuMbrDCIl7jxAiNDoUJqmI9ieggxlhEeIcnx5nKs7BhfcrFKiEph3wMVtqOHRqV9SqLmylSjhV9RKOq1ovXNiMdfDlgcH-9A32S5V_wpEttYfG2fWfA3wucmd9MNFwYLdVXVSLS3BmVOn11U_vgvenx9lgFE1eh-NBbxLlNKZ1pE3KKI6zbE5NbHLGU6ENoXrOSaZwlsbaxIIhRXKRKYIThRKTUZVgzhkmPKddcNv6LlUpN65YK7eXVhVy1JvI5oZoIjhGfIcDe9OyG2e_ttrXcmW3LrztJUk4S2MmOAsUaanmJ--0OdpiJJvAZRu4PFQTuNwHEW1FPsDVQrtf639U37SugbQ</recordid><startdate>20231001</startdate><enddate>20231001</enddate><creator>Cardoso, Gabriel Lopes</creator><creator>Kidambi, Abhiram</creator><creator>Nampuri, Suresh</creator><creator>Reys, Valentin</creator><creator>Rosselló, Martí</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0003-1129-3729</orcidid></search><sort><creationdate>20231001</creationdate><title>The Gravitational Path Integral for N=4 BPS Black Holes from Black Hole Microstate Counting</title><author>Cardoso, Gabriel Lopes ; Kidambi, Abhiram ; Nampuri, Suresh ; Reys, Valentin ; Rosselló, Martí</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c353t-ef94315bbd3f5fc4697ef23ed62ba1b95ef5740a2c7ba218a08fb3a81664126c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Black holes</topic><topic>Classical and Quantum Gravitation</topic><topic>Dynamical Systems and Ergodic Theory</topic><topic>Elementary Particles</topic><topic>Euclidean geometry</topic><topic>High Energy Physics - Theory</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Methods in Physics</topic><topic>Original Paper</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Relativity Theory</topic><topic>String theory</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cardoso, Gabriel Lopes</creatorcontrib><creatorcontrib>Kidambi, Abhiram</creatorcontrib><creatorcontrib>Nampuri, Suresh</creatorcontrib><creatorcontrib>Reys, Valentin</creatorcontrib><creatorcontrib>Rosselló, Martí</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Annales Henri Poincare</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Cardoso, Gabriel Lopes</au><au>Kidambi, Abhiram</au><au>Nampuri, Suresh</au><au>Reys, Valentin</au><au>Rosselló, Martí</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Gravitational Path Integral for N=4 BPS Black Holes from Black Hole Microstate Counting</atitle><jtitle>Annales Henri Poincare</jtitle><stitle>Ann. Henri Poincaré</stitle><date>2023-10-01</date><risdate>2023</risdate><volume>24</volume><issue>10</issue><spage>3305</spage><epage>3346</epage><pages>3305-3346</pages><issn>1424-0637</issn><eissn>1424-0661</eissn><abstract>We use the exact degeneracy formula of single-centred
1
4
BPS dyonic black holes with unit torsion in 4D
N
=
4
toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result takes the form of a sum over Euclidean backgrounds including orbifolds of the Euclidean
AdS
2
×
S
2
attractor geometry. Using an
N
=
2
formalism, we determine the explicit form of the Abelian gauge potentials supporting these backgrounds. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies. We also comment on the relation between the associated 1D holographic models.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00023-023-01297-y</doi><tpages>42</tpages><orcidid>https://orcid.org/0000-0003-1129-3729</orcidid></addata></record> |
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| subjects | Black holes Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Euclidean geometry High Energy Physics - Theory Mathematical and Computational Physics Mathematical Methods in Physics Original Paper Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory String theory Theoretical |
| title | The Gravitational Path Integral for N=4 BPS Black Holes from Black Hole Microstate Counting |
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