On quantum corrected Kahler potentials in F-theory

We work out the exact in string coupling and perturbatively exact in \alpha' result for the vector multiplet moduli K\"ahler potential in a specific N=2 compactification of F-theory. The well-known correction cubic in {\alpha}' is absent, but there is a rich structure of corrections a...

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Detalles Bibliográficos
Autores principales: Garcia-Etxebarria, Inaki, Hayashi, Hirotaka, Savelli, Raffaele, Shiu, Gary
Lenguaje:eng
Publicado: 2012
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP03(2013)005
http://cds.cern.ch/record/1502161
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author Garcia-Etxebarria, Inaki
Hayashi, Hirotaka
Savelli, Raffaele
Shiu, Gary
author_facet Garcia-Etxebarria, Inaki
Hayashi, Hirotaka
Savelli, Raffaele
Shiu, Gary
author_sort Garcia-Etxebarria, Inaki
collection CERN
description We work out the exact in string coupling and perturbatively exact in \alpha' result for the vector multiplet moduli K\"ahler potential in a specific N=2 compactification of F-theory. The well-known correction cubic in {\alpha}' is absent, but there is a rich structure of corrections at all even orders in \alpha'. Moreover, each of these orders independently displays an SL(2,Z) invariant set of corrections in the string coupling. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N=1 context, and may have interesting implications for the study of moduli stabilization in string theory.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2012
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spelling cern-15021612023-10-04T08:17:49Zdoi:10.1007/JHEP03(2013)005http://cds.cern.ch/record/1502161engGarcia-Etxebarria, InakiHayashi, HirotakaSavelli, RaffaeleShiu, GaryOn quantum corrected Kahler potentials in F-theoryParticle Physics - TheoryWe work out the exact in string coupling and perturbatively exact in \alpha' result for the vector multiplet moduli K\"ahler potential in a specific N=2 compactification of F-theory. The well-known correction cubic in {\alpha}' is absent, but there is a rich structure of corrections at all even orders in \alpha'. Moreover, each of these orders independently displays an SL(2,Z) invariant set of corrections in the string coupling. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N=1 context, and may have interesting implications for the study of moduli stabilization in string theory.We work out the exact in g (s) and perturbatively exact in α(′) result for the vector multiplet moduli Kähler potential in a specific = 2 compactification of F-theory. The well-known α ( )′(3) correction is absent, but there is a rich structure of corrections at all even orders in α ( )′( ). Moreover, each of these orders independently displays an SL(2, ) invariant set of corrections in the string coupling constant. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated = 1 context, and may have interesting implications for the study of moduli stabilization in string theory.We work out the exact in string coupling and perturbatively exact in \alpha' result for the vector multiplet moduli K\"ahler potential in a specific N=2 compactification of F-theory. The well-known correction cubic in \alpha' is absent, but there is a rich structure of corrections at all even orders in \alpha'. Moreover, each of these orders independently displays an SL(2,Z) invariant set of corrections in the string coupling. This generalizes earlier findings to the case of a non-trivial elliptic fibration. Our results pave the way for the analysis of quantum corrections in the more complicated N=1 context, and may have interesting implications for the study of moduli stabilization in string theory.arXiv:1212.4831CERN-PH-TH-2012-359MAD-TH-12-09MPP-2012-185KIAS-P-12085CERN-PH-TH-2012-359oai:cds.cern.ch:15021612012-12-21
spellingShingle Particle Physics - Theory
Garcia-Etxebarria, Inaki
Hayashi, Hirotaka
Savelli, Raffaele
Shiu, Gary
On quantum corrected Kahler potentials in F-theory
title On quantum corrected Kahler potentials in F-theory
title_full On quantum corrected Kahler potentials in F-theory
title_fullStr On quantum corrected Kahler potentials in F-theory
title_full_unstemmed On quantum corrected Kahler potentials in F-theory
title_short On quantum corrected Kahler potentials in F-theory
title_sort on quantum corrected kahler potentials in f-theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP03(2013)005
http://cds.cern.ch/record/1502161
work_keys_str_mv AT garciaetxebarriainaki onquantumcorrectedkahlerpotentialsinftheory
AT hayashihirotaka onquantumcorrectedkahlerpotentialsinftheory
AT savelliraffaele onquantumcorrectedkahlerpotentialsinftheory
AT shiugary onquantumcorrectedkahlerpotentialsinftheory

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