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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...

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Autores principales: Antoniadis, I., Hohenegger, S., Narain, K.S., Sokatchev, E.
Lenguaje:eng
Publicado: 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2011.11.011
http://cds.cern.ch/record/1363638
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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.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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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
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AT hoheneggers generalizedn2topologicalamplitudesandholomorphicanomalyequation
AT narainks generalizedn2topologicalamplitudesandholomorphicanomalyequation
AT sokatcheve generalizedn2topologicalamplitudesandholomorphicanomalyequation