Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions

We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given by a polylogarithm of index 5-4g and encodes the counting o...

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Detalles Bibliográficos
Autores principales: Foerger, K., Stieberger, S.
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(99)00408-3
http://cds.cern.ch/record/375780
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author Foerger, K.
Stieberger, S.
author_facet Foerger, K.
Stieberger, S.
author_sort Foerger, K.
collection CERN
description We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given by a polylogarithm of index 5-4g and encodes the counting of genus g curves with g nodes on the K3 of the dual F-theory side. We present closed expressions for world-sheet tau-integrals with an arbitrary number of lattice vector insertions. Furthermore we verify that the corresponding heterotic one-loop couplings sum up perturbative open string and non-perturbative D-string contributions on the type I side. Finally we discuss a type I one-loop correction to the R^2 term.
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publishDate 1999
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spelling cern-3757802021-10-08T02:31:13Zdoi:10.1016/S0550-3213(99)00408-3http://cds.cern.ch/record/375780engFoerger, K.Stieberger, S.Higher Derivative Couplings and Heterotic-Type I Duality in Eight DimensionsParticle Physics - TheoryWe calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given by a polylogarithm of index 5-4g and encodes the counting of genus g curves with g nodes on the K3 of the dual F-theory side. We present closed expressions for world-sheet tau-integrals with an arbitrary number of lattice vector insertions. Furthermore we verify that the corresponding heterotic one-loop couplings sum up perturbative open string and non-perturbative D-string contributions on the type I side. Finally we discuss a type I one-loop correction to the R^2 term.We calculate F 4 and R 4 T 4 g −4 couplings in d = 8 heterotic and type I string vacua (with gauge and graviphoton field strengths F , T , and Riemann curvature R ). The holomorphic piece F g of the heterotic one-loop coupling R 4 T 4 g −4 is given by a polylogarithm of index 5 − 4 g and encodes the counting of genus g curves with g nodes on the K 3 of the dual F-theory side. We present closed expressions for world-sheet τ-integrals with an arbitrary number of lattice vector insertions. Furthermore we verify that the corresponding heterotic one-loop couplings sum up perturbative open string and non-perturbative D-string contributions on the type I side. Finally we discuss a type I one-loop correction to the R 2 term.We calculate F^4 and R^4T^(4g-4) couplings in d=8 heterotic and type I string vacua (with gauge and graviphoton field strengths F,T, and Riemann curvature R). The holomorphic piece F_g of the heterotic one-loop coupling R^4T^(4g-4) is given by a polylogarithm of index 5-4g and encodes the counting of genus g curves with g nodes on the K3 of the dual F-theory side. We present closed expressions for world-sheet tau-integrals with an arbitrary number of lattice vector insertions. Furthermore we verify that the corresponding heterotic one-loop couplings sum up perturbative open string and non-perturbative D-string contributions on the type I side. Finally we discuss a type I one-loop correction to the R^2 term.hep-th/9901020CERN-TH-98-412CPHT-S707-1298CERN-TH-98-412-&-CPHT-S707.1298CERN-TH-98-412CPTH-S-707oai:cds.cern.ch:3757801999-01-06
spellingShingle Particle Physics - Theory
Foerger, K.
Stieberger, S.
Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
title Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
title_full Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
title_fullStr Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
title_full_unstemmed Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
title_short Higher Derivative Couplings and Heterotic-Type I Duality in Eight Dimensions
title_sort higher derivative couplings and heterotic-type i duality in eight dimensions
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(99)00408-3
http://cds.cern.ch/record/375780
work_keys_str_mv AT foergerk higherderivativecouplingsandheterotictypeidualityineightdimensions
AT stiebergers higherderivativecouplingsandheterotictypeidualityineightdimensions

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