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Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation
In arXiv:0905.3629 we described a new class of N=2 topological amplitudes that depends both on vector and hypermultiplet moduli. Here we find that this class is actually a particular case of much more general topological amplitudes which appear at higher loops in heterotic string theory compactified...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2011
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/j.nuclphysb.2011.11.011 http://cds.cern.ch/record/1363638 |
_version_ | 1780922729100214272 |
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author | Antoniadis, I. Hohenegger, S. Narain, K.S. Sokatchev, E. |
author_facet | Antoniadis, I. Hohenegger, S. Narain, K.S. Sokatchev, E. |
author_sort | Antoniadis, I. |
collection | CERN |
description | In arXiv:0905.3629 we described a new class of N=2 topological amplitudes that depends both on vector and hypermultiplet moduli. Here we find that this class is actually a particular case of much more general topological amplitudes which appear at higher loops in heterotic string theory compactified on K3 x T^2. We analyze their effective field theory interpretation and derive particular (first order) differential equations as a consequence of supersymmetry Ward identities and the 1/2-BPS nature of the corresponding effective action terms. In string theory the latter get modified due to anomalous world-sheet boundary contributions, generalizing in a non-trivial way the familiar holomorphic and harmonicity anomalies studied in the past. We prove by direct computation that the subclass of topological amplitudes studied in arXiv:0905.3629 forms a closed set under these anomaly equations and that these equations are integrable. |
id | cern-1363638 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
record_format | invenio |
spelling | cern-13636382023-03-14T20:52:45Zdoi:10.1016/j.nuclphysb.2011.11.011http://cds.cern.ch/record/1363638engAntoniadis, I.Hohenegger, S.Narain, K.S.Sokatchev, E.Generalized N=2 Topological Amplitudes and Holomorphic Anomaly EquationParticle Physics - TheoryIn arXiv:0905.3629 we described a new class of N=2 topological amplitudes that depends both on vector and hypermultiplet moduli. Here we find that this class is actually a particular case of much more general topological amplitudes which appear at higher loops in heterotic string theory compactified on K3 x T^2. We analyze their effective field theory interpretation and derive particular (first order) differential equations as a consequence of supersymmetry Ward identities and the 1/2-BPS nature of the corresponding effective action terms. In string theory the latter get modified due to anomalous world-sheet boundary contributions, generalizing in a non-trivial way the familiar holomorphic and harmonicity anomalies studied in the past. We prove by direct computation that the subclass of topological amplitudes studied in arXiv:0905.3629 forms a closed set under these anomaly equations and that these equations are integrable.In arXiv:0905.3629 we described a new class of N = 2 topological amplitudes that depends both on vector and hypermultiplet moduli. Here we find that this class is actually a particular case of much more general topological amplitudes which appear at higher loops in heterotic string theory compactified on K 3 × T 2 . We analyze their effective field theory interpretation and derive particular (first order) differential equations as a consequence of supersymmetry Ward identities and the 1/2-BPS nature of the corresponding effective action terms. In string theory the latter get modified due to anomalous world-sheet boundary contributions, generalizing in a non-trivial way the familiar holomorphic and harmonicity anomalies studied in the past. We prove by direct computation that the subclass of topological amplitudes studied in arXiv:0905.3629 forms a closed set under these anomaly equations and that these equations are integrable.In arXiv:0905.3629 we described a new class of N=2 topological amplitudes that depends both on vector and hypermultiplet moduli. Here we find that this class is actually a particular case of much more general topological amplitudes which appear at higher loops in heterotic string theory compactified on K3 x T^2. We analyze their effective field theory interpretation and derive particular (first order) differential equations as a consequence of supersymmetry Ward identities and the 1/2-BPS nature of the corresponding effective action terms. In string theory the latter get modified due to anomalous world-sheet boundary contributions, generalizing in a non-trivial way the familiar holomorphic and harmonicity anomalies studied in the past. We prove by direct computation that the subclass of topological amplitudes studied in arXiv:0905.3629 forms a closed set under these anomaly equations and that these equations are integrable.arXiv:1107.0303CERN-PH-TH-2011-111oai:cds.cern.ch:13636382011-07-04 |
spellingShingle | Particle Physics - Theory Antoniadis, I. Hohenegger, S. Narain, K.S. Sokatchev, E. Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation |
title | Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation |
title_full | Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation |
title_fullStr | Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation |
title_full_unstemmed | Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation |
title_short | Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation |
title_sort | generalized n=2 topological amplitudes and holomorphic anomaly equation |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/j.nuclphysb.2011.11.011 http://cds.cern.ch/record/1363638 |
work_keys_str_mv | AT antoniadisi generalizedn2topologicalamplitudesandholomorphicanomalyequation AT hoheneggers generalizedn2topologicalamplitudesandholomorphicanomalyequation AT narainks generalizedn2topologicalamplitudesandholomorphicanomalyequation AT sokatcheve generalizedn2topologicalamplitudesandholomorphicanomalyequation |