Curved Beta-Gamma Systems and Quantum Koszul Resolution

We consider the partition function of beta-gamma systems in curved space of the type discussed by Nekrasov and Witten. We show how the Koszul resolution theorem can be applied to the computation of the partition functions and to characters of these systems and find a prescription to enforce the hypo...

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Detalles Bibliográficos
Autores principales: Grassi, P.A., Policastro, G.
Lenguaje:eng
Publicado: 2006
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/929942
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author Grassi, P.A.
Policastro, G.
author_facet Grassi, P.A.
Policastro, G.
author_sort Grassi, P.A.
collection CERN
description We consider the partition function of beta-gamma systems in curved space of the type discussed by Nekrasov and Witten. We show how the Koszul resolution theorem can be applied to the computation of the partition functions and to characters of these systems and find a prescription to enforce the hypotheses of the theorem at the path integral level. We illustrate the technique in a few examples: a simple 2-dimensional target space, the N-dimensional conifold, and a superconifold. Our method can also be applied to the Pure Spinor constraints of superstrings.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-9299422023-03-14T17:20:13Zhttp://cds.cern.ch/record/929942engGrassi, P.A.Policastro, G.Curved Beta-Gamma Systems and Quantum Koszul ResolutionParticle Physics - TheoryWe consider the partition function of beta-gamma systems in curved space of the type discussed by Nekrasov and Witten. We show how the Koszul resolution theorem can be applied to the computation of the partition functions and to characters of these systems and find a prescription to enforce the hypotheses of the theorem at the path integral level. We illustrate the technique in a few examples: a simple 2-dimensional target space, the N-dimensional conifold, and a superconifold. Our method can also be applied to the Pure Spinor constraints of superstrings.We consider the partition function of beta-gamma systems in curved space of the type discussed by Nekrasov and Witten. We show how the Koszul resolution theorem can be applied to the computation of the partition functions and to characters of these systems and find a prescription to enforce the hypotheses of the theorem at the path integral level. We illustrate the technique in a few examples: a simple 2-dimensional target space, the N-dimensional conifold, and a superconifold. Our method can also be applied to the Pure Spinor constraints of superstrings.hep-th/0602153CERN-PH-TH-2006-020LMU-ASC-07-06DISTA-2006CERN-PH-TH-2006-020LMU-ASC-2006-07oai:cds.cern.ch:9299422006-02-15
spellingShingle Particle Physics - Theory
Grassi, P.A.
Policastro, G.
Curved Beta-Gamma Systems and Quantum Koszul Resolution
title Curved Beta-Gamma Systems and Quantum Koszul Resolution
title_full Curved Beta-Gamma Systems and Quantum Koszul Resolution
title_fullStr Curved Beta-Gamma Systems and Quantum Koszul Resolution
title_full_unstemmed Curved Beta-Gamma Systems and Quantum Koszul Resolution
title_short Curved Beta-Gamma Systems and Quantum Koszul Resolution
title_sort curved beta-gamma systems and quantum koszul resolution
topic Particle Physics - Theory
url http://cds.cern.ch/record/929942
work_keys_str_mv AT grassipa curvedbetagammasystemsandquantumkoszulresolution
AT policastrog curvedbetagammasystemsandquantumkoszulresolution

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