Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds

Abstract The attractor equations for an arbitrary one-parameter family of Calabi-Yau manifolds are studied in the large complex structure region. These equations are solved iteratively, generating what we term an N-expansion, which is a power series in the Gromov-Witten invariants of the manifold. T...

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Autores principales:	Philip Candelas, Pyry Kuusela, Joseph McGovern
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Black Holes in String Theory D-branes Differential and Algebraic Geometry Supergravity Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/05ceebb2a8d249319e4128367bf15d0d
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spelling	oai:doaj.org-article:05ceebb2a8d249319e4128367bf15d0d2021-11-08T11:16:14ZAttractors with large complex structure for one-parameter families of Calabi-Yau manifolds10.1007/JHEP11(2021)0321029-8479https://doaj.org/article/05ceebb2a8d249319e4128367bf15d0d2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)032https://doaj.org/toc/1029-8479Abstract The attractor equations for an arbitrary one-parameter family of Calabi-Yau manifolds are studied in the large complex structure region. These equations are solved iteratively, generating what we term an N-expansion, which is a power series in the Gromov-Witten invariants of the manifold. The coefficients of this series are associated with integer partitions. In important cases we are able to find closed-form expressions for the general term of this expansion. To our knowledge, these are the first generic solutions to attractor equations that incorporate instanton contributions. In particular, we find a simple closed-form formula for the entropy associated to rank two attractor points, including those recently discovered. The applications of our solutions are briefly discussed. Most importantly, we are able to give an expression for the Wald entropy of black holes that includes all genus 0 instanton corrections.Philip CandelasPyry KuuselaJoseph McGovernSpringerOpenarticleBlack Holes in String TheoryD-branesDifferential and Algebraic GeometrySupergravity ModelsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-78 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Black Holes in String Theory D-branes Differential and Algebraic Geometry Supergravity Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Black Holes in String Theory D-branes Differential and Algebraic Geometry Supergravity Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Philip Candelas Pyry Kuusela Joseph McGovern Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds
description	Abstract The attractor equations for an arbitrary one-parameter family of Calabi-Yau manifolds are studied in the large complex structure region. These equations are solved iteratively, generating what we term an N-expansion, which is a power series in the Gromov-Witten invariants of the manifold. The coefficients of this series are associated with integer partitions. In important cases we are able to find closed-form expressions for the general term of this expansion. To our knowledge, these are the first generic solutions to attractor equations that incorporate instanton contributions. In particular, we find a simple closed-form formula for the entropy associated to rank two attractor points, including those recently discovered. The applications of our solutions are briefly discussed. Most importantly, we are able to give an expression for the Wald entropy of black holes that includes all genus 0 instanton corrections.
format	article
author	Philip Candelas Pyry Kuusela Joseph McGovern
author_facet	Philip Candelas Pyry Kuusela Joseph McGovern
author_sort	Philip Candelas
title	Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds
title_short	Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds
title_full	Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds
title_fullStr	Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds
title_full_unstemmed	Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds
title_sort	attractors with large complex structure for one-parameter families of calabi-yau manifolds
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/05ceebb2a8d249319e4128367bf15d0d
work_keys_str_mv	AT philipcandelas attractorswithlargecomplexstructureforoneparameterfamiliesofcalabiyaumanifolds AT pyrykuusela attractorswithlargecomplexstructureforoneparameterfamiliesofcalabiyaumanifolds AT josephmcgovern attractorswithlargecomplexstructureforoneparameterfamiliesofcalabiyaumanifolds
_version_	1718442205413113856

Attractors with large complex structure for one-parameter families of Calabi-Yau manifolds

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