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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...
Autores principales: | , |
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Lenguaje: | eng |
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1997
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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. |
id | cern-333441 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1997 |
record_format | invenio |
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 |
work_keys_str_mv | AT kiritsise heterotictypeidualityind10dimensionsthresholdcorrectionsanddinstantons AT obersna heterotictypeidualityind10dimensionsthresholdcorrectionsanddinstantons |