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Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons

We continue our study of heterotic/type-I duality in D<10 dimensions. We consider the heterotic and type-I theories compactified on tori to lower dimensions. We calculate the special (``BPS saturated'') F^4 and R^4 terms in the effective one-loop heterotic action. These terms are expect...

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Detalles Bibliográficos
Autores principales: Kiritsis, E., Obers, N.A.
Lenguaje:eng
Publicado: 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/1997/10/004
http://cds.cern.ch/record/333441
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author Kiritsis, E.
Obers, N.A.
author_facet Kiritsis, E.
Obers, N.A.
author_sort Kiritsis, E.
collection CERN
description We continue our study of heterotic/type-I duality in D<10 dimensions. We consider the heterotic and type-I theories compactified on tori to lower dimensions. We calculate the special (``BPS saturated'') F^4 and R^4 terms in the effective one-loop heterotic action. These terms are expected to be non-perturbatively exact for D>4. The heterotic result is compared with the associated type-I result. In D<9 dimensions, the type-I theory has instanton corrections due to D1 instantons. In D=8 we use heterotic-type I duality to give a simple prescription of the D-instanton calculation on the type I side. We allow arbitrary Wilson lines and show that the D1-instanton determinant is the affine character-valued elliptic genus evaluated at the induced complex structure of the D1-brane world-volume. The instanton result has an expansion in terms of Hecke operators that suggest an interpretation in terms of an SO(N) matrix model of the D1-brane. The total result can be written in terms of generalized prepotentials revealing an underlying holomorphic structure. In D<8 we calculate again the heterotic perturbative thresholds and show that they agree with the D1-instanton calculation using the rules derived in D=8.
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spelling cern-3334412023-03-14T17:57:20Zdoi:10.1088/1126-6708/1997/10/004http://cds.cern.ch/record/333441engKiritsis, E.Obers, N.A.Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-InstantonsParticle Physics - TheoryWe continue our study of heterotic/type-I duality in D<10 dimensions. We consider the heterotic and type-I theories compactified on tori to lower dimensions. We calculate the special (``BPS saturated'') F^4 and R^4 terms in the effective one-loop heterotic action. These terms are expected to be non-perturbatively exact for D>4. The heterotic result is compared with the associated type-I result. In D<9 dimensions, the type-I theory has instanton corrections due to D1 instantons. In D=8 we use heterotic-type I duality to give a simple prescription of the D-instanton calculation on the type I side. We allow arbitrary Wilson lines and show that the D1-instanton determinant is the affine character-valued elliptic genus evaluated at the induced complex structure of the D1-brane world-volume. The instanton result has an expansion in terms of Hecke operators that suggest an interpretation in terms of an SO(N) matrix model of the D1-brane. The total result can be written in terms of generalized prepotentials revealing an underlying holomorphic structure. In D<8 we calculate again the heterotic perturbative thresholds and show that they agree with the D1-instanton calculation using the rules derived in D=8.We continue our study of heterotic/type-I duality in D<10 dimensions. We consider the heterotic and type-I theories compactified on tori to lower dimensions. We calculate the special (``BPS saturated'') F^4 and R^4 terms in the effective one-loop heterotic action. These terms are expected to be non-perturbatively exact for D>4. The heterotic result is compared with the associated type-I result. In D<9 dimensions, the type-I theory has instanton corrections due to D1 instantons. In D=8 we use heterotic-type I duality to give a simple prescription of the D-instanton calculation on the type I side. We allow arbitrary Wilson lines and show that the D1-instanton determinant is the affine character-valued elliptic genus evaluated at the induced complex structure of the D1-brane world-volume. The instanton result has an expansion in terms of Hecke operators that suggest an interpretation in terms of an SO(N) matrix model of the D1-brane. The total result can be written in terms of generalized prepotentials revealing an underlying holomorphic structure. In D<8 we calculate again the heterotic perturbative thresholds and show that they agree with the D1-instanton calculation using the rules derived in D=8.hep-th/9709058CERN-TH-97-233CERN-TH-97-233oai:cds.cern.ch:3334411997-09-09
spellingShingle Particle Physics - Theory
Kiritsis, E.
Obers, N.A.
Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
title Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
title_full Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
title_fullStr Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
title_full_unstemmed Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
title_short Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
title_sort heterotic/type-i duality in d<10 dimensions, threshold corrections and d-instantons
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/1997/10/004
http://cds.cern.ch/record/333441
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AT obersna heterotictypeidualityind10dimensionsthresholdcorrectionsanddinstantons