0,2 Heterotic Gauge Couplings and their M-Theory Origin

We work out the relation between automorphic forms on SO(2+s,2,Z) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 with arbitrary choice of gauge bundles can always be expressed by t...

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Autor principal: Stieberger, S.
Lenguaje:eng
Publicado: 1998
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(98)00770-6
http://cds.cern.ch/record/360190
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author Stieberger, S.
author_facet Stieberger, S.
author_sort Stieberger, S.
collection CERN
description We work out the relation between automorphic forms on SO(2+s,2,Z) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 with arbitrary choice of gauge bundles can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one--loop gauge thresholds of N=1 (0,2) heterotic compactifications based on toroidal orbifolds T^6/Z_N$. We compare these results with the gauge couplings of M-theory compactified on S^1/Z_2 x T^6/Z_N using Witten's Calabi--Yau strong coupling expansion.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3601902023-03-14T19:52:04Zdoi:10.1016/S0550-3213(98)00770-6http://cds.cern.ch/record/360190engStieberger, S.0,2 Heterotic Gauge Couplings and their M-Theory OriginParticle Physics - TheoryWe work out the relation between automorphic forms on SO(2+s,2,Z) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 with arbitrary choice of gauge bundles can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one--loop gauge thresholds of N=1 (0,2) heterotic compactifications based on toroidal orbifolds T^6/Z_N$. We compare these results with the gauge couplings of M-theory compactified on S^1/Z_2 x T^6/Z_N using Witten's Calabi--Yau strong coupling expansion.We work out the relation between automorphic forms on SO(s+2,2) and gauge one-loop corrections of heterotic K3 x T^2 string compactifications for the cases s=0,1. We find that one-loop gauge corrections of any orbifold limit of K3 can always be expressed by their instanton numbers and generic automorphic forms.These functions classify also one-loop gauge thresholds of N=1 (0,2) heterotic compactifications based on toroidal orbifolds T^6/Z_N. We compare these results with the gauge couplings of M-theory compactified on S^1/Z_2 x T^6/Z_N using Witten's Calabi-Yau strong coupling expansion.We work out the relation between automorphic forms on SO(2 + s, 2, Z ) and gauge one-loop corrections of heterotic K 3 x T 2 string compactifications for the cases s = 0, 1. We find that one-loop gauge corrections of any orbifold limit of K 3 can always be expressed by their instanton numbers and generic automorphic forms. These functions classify also one-loop gauge thresholds of N = 1 (0, 2) heterotic compactifications based on toroidal orbifolds T 6 Z ν . We compare these results with the gauge couplings of M-theory compactified on S 1 Z 2 × T 6 Z ν using Witte's Calabi-Yau strong coupling expansion.hep-th/9807124CERN-TH-98-228NEIP-001-97CERN-TH-98-228NEIP-97-1oai:cds.cern.ch:3601901998-07-20
spellingShingle Particle Physics - Theory
Stieberger, S.
0,2 Heterotic Gauge Couplings and their M-Theory Origin
title 0,2 Heterotic Gauge Couplings and their M-Theory Origin
title_full 0,2 Heterotic Gauge Couplings and their M-Theory Origin
title_fullStr 0,2 Heterotic Gauge Couplings and their M-Theory Origin
title_full_unstemmed 0,2 Heterotic Gauge Couplings and their M-Theory Origin
title_short 0,2 Heterotic Gauge Couplings and their M-Theory Origin
title_sort 0,2 heterotic gauge couplings and their m-theory origin
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(98)00770-6
http://cds.cern.ch/record/360190
work_keys_str_mv AT stiebergers 02heteroticgaugecouplingsandtheirmtheoryorigin

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