On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons

We obtain the full non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. They are given by the perturbative results plus a sum over D-instantons and (p,q) string instantons. The thresholds are shown to be U-duality invariant. They are given by a...

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Detalles Bibliográficos
Autores principales: Kiritsis, Elias, Pioline, Boris
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(97)00645-7
http://cds.cern.ch/record/329197
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author Kiritsis, Elias
Pioline, Boris
author_facet Kiritsis, Elias
Pioline, Boris
author_sort Kiritsis, Elias
collection CERN
description We obtain the full non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. They are given by the perturbative results plus a sum over D-instantons and (p,q) string instantons. The thresholds are shown to be U-duality invariant. They are given by a weight-3/2 non holomorphic form of SL(3,Z) and a weight-1 form of SL(2,Z) in the eight-dimensional case. In seven dimensions they are given by a weight-3/2 form of SL(5,Z). We conjecture also formulae for the non-perturbative thresholds in lower dimensional compactifications.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3291972023-03-14T19:58:16Zdoi:10.1016/S0550-3213(97)00645-7http://cds.cern.ch/record/329197engKiritsis, EliasPioline, BorisOn $R^4$ threshold corrections in IIB string theory and (p,q) string instantonsParticle Physics - TheoryWe obtain the full non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. They are given by the perturbative results plus a sum over D-instantons and (p,q) string instantons. The thresholds are shown to be U-duality invariant. They are given by a weight-3/2 non holomorphic form of SL(3,Z) and a weight-1 form of SL(2,Z) in the eight-dimensional case. In seven dimensions they are given by a weight-3/2 form of SL(5,Z). We conjecture also formulae for the non-perturbative thresholds in lower dimensional compactifications.We obtain the exact non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribution of the D-instantons and of the $(p,q)$-string instantons. The invariance under U-duality is made manifest by rewriting the sum as a non-holomorphic modular function of the corresponding discrete U-duality group. In the eight-dimensional case, the threshold is the sum of a order-1 Eisenstein series for $SL(2,Z)$ and a order-3/2 Eisenstein series for $SL(3,Z)$. The seven-dimensional result is given by the order-3/2 Eisenstein series for $SL(5,Z)$. We also conjecture formulae for the non-perturbative thresholds in lower dimensional compactifications and discuss the relation with M-theory.We obtain the exact non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribution of the D-instantons and of the $(p,q)$-string instantons. The invariance under U-duality is made manifest by rewriting the sum as a non-holomorphic modular function of the corresponding discrete U-duality group. In the eight-dimensional case, the threshold is the sum of a order-1 Eisenstein series for $SL(2,Z)$ and a order-3/2 Eisenstein series for $SL(3,Z)$. The seven-dimensional result is given by the order-3/2 Eisenstein series for $SL(5,Z)$. We also conjecture formulae for the non-perturbative thresholds in lower dimensional compactifications and discuss the relation with M-theory.We obtain the exact non-perturbative thresholds of $R^4$ terms in IIB string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribution of the D-instantons and of the $(p,q)$-string instantons. The invariance under U-duality is made manifest by rewriting the sum as a non-holomorphic modular function of the corresponding discrete U-duality group. In the eight-dimensional case, the threshold is the sum of a order-1 Eisenstein series for $SL(2,Z)$ and a order-3/2 Eisenstein series for $SL(3,Z)$. The seven-dimensional result is given by the order-3/2 Eisenstein series for $SL(5,Z)$. We also conjecture formulae for the non-perturbative thresholds in lower dimensional compactifications and discuss the relation with M-theory.We obtain the exact non-perturbative thresholds of R 4 terms in type 1113 string theory compactified to eight and seven dimensions. These thresholds are given by the perturbative tree-level and one-loop results together with the contribution of the D-instantons and of the ( p , q )-string instantons. The invariance under U -duality is made manifest by rewriting the sum as a non-holomorphic-invariant modular function of the corresponding discrete U -duality group. In the eight-dimensional case, the threshold is the sum of an order-1 Eisenstein series for SL(2, Z ) and an order-3/2 Eisenstein series for SL(3, Z ) . The seven-dimensional result is given by the order-3/2 Eisenstein series for SL(5, Z ) . We also conjecture formulae for the non-perturbative thresholds in lower-dimensional compactifications and discuss the relation with M-theory.hep-th/9707018CERN-TH-97-146CPTH-S539-0697CERN-TH-97-146CPTH-S-539oai:cds.cern.ch:3291971997-07-02
spellingShingle Particle Physics - Theory
Kiritsis, Elias
Pioline, Boris
On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
title On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
title_full On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
title_fullStr On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
title_full_unstemmed On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
title_short On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
title_sort on $r^4$ threshold corrections in iib string theory and (p,q) string instantons
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(97)00645-7
http://cds.cern.ch/record/329197
work_keys_str_mv AT kiritsiselias onr4thresholdcorrectionsiniibstringtheoryandpqstringinstantons
AT piolineboris onr4thresholdcorrectionsiniibstringtheoryandpqstringinstantons

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