Black holes as probes of moduli space geometry

Abstract We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to the attractor mechanism. We focus on 4d N $$ \mathcal{N} $$ = 2 compactifications and capture aspects of the effective field theory near the attractor values in terms of...

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Main Authors: Matilda Delgado, Miguel Montero, Cumrun Vafa
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2023)045
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author Matilda Delgado
Miguel Montero
Cumrun Vafa
author_facet Matilda Delgado
Miguel Montero
Cumrun Vafa
author_sort Matilda Delgado
collection DOAJ
description Abstract We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to the attractor mechanism. We focus on 4d N $$ \mathcal{N} $$ = 2 compactifications and capture aspects of the effective field theory near the attractor values in terms of physical quantities far away in moduli space. Furthermore, we illustrate how the standard distance in moduli space can be related asymptotically to the black hole mass. We also compute a measure of the resolution with which BPS black holes of a given mass can distinguish far away points in the moduli space. The black hole probes may lead to a deeper understanding of the Swampland constraints on the geometry of the moduli space.
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spelling doaj.art-a555094f518c423cad9371138a3c59fd2023-07-30T11:03:53ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023411710.1007/JHEP04(2023)045Black holes as probes of moduli space geometryMatilda Delgado0Miguel Montero1Cumrun Vafa2Instituto de Física Teórica IFT-UAM/CSICDepartment of Physics, Harvard UniversityDepartment of Physics, Harvard UniversityAbstract We argue that supersymmetric BPS states can act as efficient finite energy probes of the moduli space geometry thanks to the attractor mechanism. We focus on 4d N $$ \mathcal{N} $$ = 2 compactifications and capture aspects of the effective field theory near the attractor values in terms of physical quantities far away in moduli space. Furthermore, we illustrate how the standard distance in moduli space can be related asymptotically to the black hole mass. We also compute a measure of the resolution with which BPS black holes of a given mass can distinguish far away points in the moduli space. The black hole probes may lead to a deeper understanding of the Swampland constraints on the geometry of the moduli space.https://doi.org/10.1007/JHEP04(2023)045Black Holes in String TheoryString and Brane Phenomenology
spellingShingle Matilda Delgado
Miguel Montero
Cumrun Vafa
Black holes as probes of moduli space geometry
Journal of High Energy Physics
Black Holes in String Theory
String and Brane Phenomenology
title Black holes as probes of moduli space geometry
title_full Black holes as probes of moduli space geometry
title_fullStr Black holes as probes of moduli space geometry
title_full_unstemmed Black holes as probes of moduli space geometry
title_short Black holes as probes of moduli space geometry
title_sort black holes as probes of moduli space geometry
topic Black Holes in String Theory
String and Brane Phenomenology
url https://doi.org/10.1007/JHEP04(2023)045
work_keys_str_mv AT matildadelgado blackholesasprobesofmodulispacegeometry
AT miguelmontero blackholesasprobesofmodulispacegeometry
AT cumrunvafa blackholesasprobesofmodulispacegeometry