The classical cosmological constant of open-closed string field theory

Abstract We consider deformations of D-brane systems induced by a change in the closed string background in the framework of bosonic open-closed string field theory, where it is possible to unambiguously tame infrared divergences originating from both open and closed string degenerations. A closed s...

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Main Authors: Carlo Maccaferri, Jakub Vošmera
Format: Article
Language:English
Published: SpringerOpen 2022-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2022)173
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author Carlo Maccaferri
Jakub Vošmera
author_facet Carlo Maccaferri
Jakub Vošmera
author_sort Carlo Maccaferri
collection DOAJ
description Abstract We consider deformations of D-brane systems induced by a change in the closed string background in the framework of bosonic open-closed string field theory, where it is possible to unambiguously tame infrared divergences originating from both open and closed string degenerations. A closed string classical solution induces a tadpole for the open strings which shifts the open string vacuum and generates a cosmological constant composed of two terms: one which is directly related to the closed string solution and the other which depends on the open string vacuum shift. We show that only the sum of these two terms is invariant under closed SFT gauge transformations and therefore is an observable. We conjecture that this observable is universally proportional to the shift in the world-sheet disk partition function between the starting D-brane in undeformed background and the final D-brane in deformed background, which typically includes also a change in the string coupling constant. We test the conjecture by considering a perturbative closed string solution describing deformations of a Narain compactification and, from the SFT cosmological constant, we reproduce the expected shift in the g-function of various D-branes living in the compactification. In doing this we are also able to identify a surprising change in the string coupling constant at second order in the deformation.
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spelling doaj.art-7e2fae843adb47c1aeee7ef2e23779a52022-12-22T04:33:09ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221014610.1007/JHEP10(2022)173The classical cosmological constant of open-closed string field theoryCarlo Maccaferri0Jakub Vošmera1Dipartimento di Fisica, Università di Torino, INFN Sezione di Torino and Arnold-Regge CenterInstitut für Theoretische Physik, ETH ZürichAbstract We consider deformations of D-brane systems induced by a change in the closed string background in the framework of bosonic open-closed string field theory, where it is possible to unambiguously tame infrared divergences originating from both open and closed string degenerations. A closed string classical solution induces a tadpole for the open strings which shifts the open string vacuum and generates a cosmological constant composed of two terms: one which is directly related to the closed string solution and the other which depends on the open string vacuum shift. We show that only the sum of these two terms is invariant under closed SFT gauge transformations and therefore is an observable. We conjecture that this observable is universally proportional to the shift in the world-sheet disk partition function between the starting D-brane in undeformed background and the final D-brane in deformed background, which typically includes also a change in the string coupling constant. We test the conjecture by considering a perturbative closed string solution describing deformations of a Narain compactification and, from the SFT cosmological constant, we reproduce the expected shift in the g-function of various D-branes living in the compactification. In doing this we are also able to identify a surprising change in the string coupling constant at second order in the deformation.https://doi.org/10.1007/JHEP10(2022)173String Field TheoryD-BranesTachyon Condensation
spellingShingle Carlo Maccaferri
Jakub Vošmera
The classical cosmological constant of open-closed string field theory
Journal of High Energy Physics
String Field Theory
D-Branes
Tachyon Condensation
title The classical cosmological constant of open-closed string field theory
title_full The classical cosmological constant of open-closed string field theory
title_fullStr The classical cosmological constant of open-closed string field theory
title_full_unstemmed The classical cosmological constant of open-closed string field theory
title_short The classical cosmological constant of open-closed string field theory
title_sort classical cosmological constant of open closed string field theory
topic String Field Theory
D-Branes
Tachyon Condensation
url https://doi.org/10.1007/JHEP10(2022)173
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