Notes on integrating out M2 branes

Abstract Integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi–Yau manifolds is an important calculation: it allows the determination of, and in some ways defines, the free energy of topological strings. In these notes, based on a short course aimed at graduate students, we go thr...

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Main Authors: Jarod Hattab, Eran Palti
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13827-5
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author Jarod Hattab
Eran Palti
author_facet Jarod Hattab
Eran Palti
author_sort Jarod Hattab
collection DOAJ
description Abstract Integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi–Yau manifolds is an important calculation: it allows the determination of, and in some ways defines, the free energy of topological strings. In these notes, based on a short course aimed at graduate students, we go through various aspects of this calculation in detail. The end result is a recently proposed new formula for the topological string free energy.
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institution Kabale University
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series European Physical Journal C: Particles and Fields
spelling doaj-art-184fcad82a0a45318289b715193284dc2025-02-02T12:38:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185113410.1140/epjc/s10052-025-13827-5Notes on integrating out M2 branesJarod Hattab0Eran Palti1Department of Physics, Ben-Gurion University of the NegevDepartment of Physics, Ben-Gurion University of the NegevAbstract Integrating out supersymmetric M2 branes wrapped on two-cycles in Calabi–Yau manifolds is an important calculation: it allows the determination of, and in some ways defines, the free energy of topological strings. In these notes, based on a short course aimed at graduate students, we go through various aspects of this calculation in detail. The end result is a recently proposed new formula for the topological string free energy.https://doi.org/10.1140/epjc/s10052-025-13827-5
spellingShingle Jarod Hattab
Eran Palti
Notes on integrating out M2 branes
European Physical Journal C: Particles and Fields
title Notes on integrating out M2 branes
title_full Notes on integrating out M2 branes
title_fullStr Notes on integrating out M2 branes
title_full_unstemmed Notes on integrating out M2 branes
title_short Notes on integrating out M2 branes
title_sort notes on integrating out m2 branes
url https://doi.org/10.1140/epjc/s10052-025-13827-5
work_keys_str_mv AT jarodhattab notesonintegratingoutm2branes
AT eranpalti notesonintegratingoutm2branes