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Open string topological amplitudes and gaugino masses
We show that the genus zero topological partition function $F^{(0,h)}$, on a world-sheet with $h$ boundaries, computes the moduli-dependent couplings of the higher derivative F-terms $(\Tr W^2)^{h-1}$, where $W$ is the gauge N=1 chiral superfield. By string duality, these terms are also related to h...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2005
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Acceso en línea: | https://dx.doi.org/10.1016/j.nuclphysb.2005.09.024 http://cds.cern.ch/record/859415 |
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author | Antoniadis, Ignatios Narain, K S Taylor, T R |
author_facet | Antoniadis, Ignatios Narain, K S Taylor, T R |
author_sort | Antoniadis, Ignatios |
collection | CERN |
description | We show that the genus zero topological partition function $F^{(0,h)}$, on a world-sheet with $h$ boundaries, computes the moduli-dependent couplings of the higher derivative F-terms $(\Tr W^2)^{h-1}$, where $W$ is the gauge N=1 chiral superfield. By string duality, these terms are also related to heterotic topological amplitudes studied in the past, with the topological twist applied only in the left-moving supersymmetric sector of the internal $N=(2,0)$ superconformal field theory. The holomorphic anomaly of these couplings relates them to terms of the form $\Pi^n({\rm Tr}W^2)^{h-2}$, where $\Pi$'s represent chiral projections of non-holomorphic functions of chiral superfields. An important property of these couplings is that they violate R-symmetry for $h\ge 3$. As a result, once supersymmetry is broken by D-term expectation values, $(\Tr W^2)^2$ generates gaugino masses that can be hierarchically smaller than the scalar masses, behaving as $m_{1/2}\sim m_0^4$ in string units. Similarly, $\Pi{\rm Tr}W^2$ generates Dirac masses for non-chiral brane fermions, of the same order of magnitude. This mechanism can be used for instance to obtain fermion masses at the TeV scale for scalar masses as high as $m_0\sim{\cal O}(10^{13})$ GeV. We present explicit examples in toroidal string compactifications with intersecting D-branes. |
id | cern-859415 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2005 |
record_format | invenio |
spelling | cern-8594152019-09-30T06:29:59Zdoi:10.1016/j.nuclphysb.2005.09.024http://cds.cern.ch/record/859415engAntoniadis, IgnatiosNarain, K STaylor, T ROpen string topological amplitudes and gaugino massesParticle Physics - TheoryWe show that the genus zero topological partition function $F^{(0,h)}$, on a world-sheet with $h$ boundaries, computes the moduli-dependent couplings of the higher derivative F-terms $(\Tr W^2)^{h-1}$, where $W$ is the gauge N=1 chiral superfield. By string duality, these terms are also related to heterotic topological amplitudes studied in the past, with the topological twist applied only in the left-moving supersymmetric sector of the internal $N=(2,0)$ superconformal field theory. The holomorphic anomaly of these couplings relates them to terms of the form $\Pi^n({\rm Tr}W^2)^{h-2}$, where $\Pi$'s represent chiral projections of non-holomorphic functions of chiral superfields. An important property of these couplings is that they violate R-symmetry for $h\ge 3$. As a result, once supersymmetry is broken by D-term expectation values, $(\Tr W^2)^2$ generates gaugino masses that can be hierarchically smaller than the scalar masses, behaving as $m_{1/2}\sim m_0^4$ in string units. Similarly, $\Pi{\rm Tr}W^2$ generates Dirac masses for non-chiral brane fermions, of the same order of magnitude. This mechanism can be used for instance to obtain fermion masses at the TeV scale for scalar masses as high as $m_0\sim{\cal O}(10^{13})$ GeV. We present explicit examples in toroidal string compactifications with intersecting D-branes.hep-th/0507244CERN-PH-TH-2005-136IC-2005-042oai:cds.cern.ch:8594152005-07-25 |
spellingShingle | Particle Physics - Theory Antoniadis, Ignatios Narain, K S Taylor, T R Open string topological amplitudes and gaugino masses |
title | Open string topological amplitudes and gaugino masses |
title_full | Open string topological amplitudes and gaugino masses |
title_fullStr | Open string topological amplitudes and gaugino masses |
title_full_unstemmed | Open string topological amplitudes and gaugino masses |
title_short | Open string topological amplitudes and gaugino masses |
title_sort | open string topological amplitudes and gaugino masses |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/j.nuclphysb.2005.09.024 http://cds.cern.ch/record/859415 |
work_keys_str_mv | AT antoniadisignatios openstringtopologicalamplitudesandgauginomasses AT narainks openstringtopologicalamplitudesandgauginomasses AT taylortr openstringtopologicalamplitudesandgauginomasses |