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Super-Chern-Simons Theory as Superstring Theory

Superstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus computations are still unclear or guessed in analogy with bosonic and fermionic strings. Here we present a common geometri...

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Detalles Bibliográficos
Autores principales: Grassi, Pietro Antonio, Policastro, Guiseppe
Lenguaje:eng
Publicado: 2004
Materias:
Acceso en línea:http://cds.cern.ch/record/812492
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author Grassi, Pietro Antonio
Policastro, Guiseppe
author_facet Grassi, Pietro Antonio
Policastro, Guiseppe
author_sort Grassi, Pietro Antonio
collection CERN
description Superstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus computations are still unclear or guessed in analogy with bosonic and fermionic strings. Here we present a common geometrical setting to develop systematically the prescription for amplitude computations. The geometrical origin of these difficulties is the theory of integration of superforms. We provide a translation between the theory of supermanifolds and topological strings with supertarget space. We show how in this formulation one can naturally construct picture changing operators to be inserted in the correlation functions to soak up the zero modes of commuting ghost and we derive the amplitude prescriptions from the coupling with an extended topological gravity on the worldsheet. As an application we consider a simple model on R^(3|2) leading to super-Chern-Simons theory.
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spelling cern-8124922023-03-14T18:16:12Zhttp://cds.cern.ch/record/812492engGrassi, Pietro AntonioPolicastro, GuiseppeSuper-Chern-Simons Theory as Superstring TheoryParticle Physics - TheorySuperstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus computations are still unclear or guessed in analogy with bosonic and fermionic strings. Here we present a common geometrical setting to develop systematically the prescription for amplitude computations. The geometrical origin of these difficulties is the theory of integration of superforms. We provide a translation between the theory of supermanifolds and topological strings with supertarget space. We show how in this formulation one can naturally construct picture changing operators to be inserted in the correlation functions to soak up the zero modes of commuting ghost and we derive the amplitude prescriptions from the coupling with an extended topological gravity on the worldsheet. As an application we consider a simple model on R^(3|2) leading to super-Chern-Simons theory.Superstrings and topological strings with supermanifolds as target space play a central role in the recent developments in string theory. Nevertheless the rules for higher-genus computations are still unclear or guessed in analogy with bosonic and fermionic strings. Here we present a common geometrical setting to develop systematically the prescription for amplitude computations. The geometrical origin of these difficulties is the theory of integration of superforms. We provide a translation between the theory of supermanifolds and topological strings with supertarget space. We show how in this formulation one can naturally construct picture changing operators to be inserted in the correlation functions to soak up the zero modes of commuting ghost and we derive the amplitude prescriptions from the coupling with an extended topological gravity on the worldsheet. As an application we consider a simple model on R^(3|2) leading to super-Chern-Simons theory.hep-th/0412272CERN-PH-TH-2004-205YITP-SB-04-66CERN-PH-TH-2004-205YITP-SB-2004-66oai:cds.cern.ch:8124922004-12-22
spellingShingle Particle Physics - Theory
Grassi, Pietro Antonio
Policastro, Guiseppe
Super-Chern-Simons Theory as Superstring Theory
title Super-Chern-Simons Theory as Superstring Theory
title_full Super-Chern-Simons Theory as Superstring Theory
title_fullStr Super-Chern-Simons Theory as Superstring Theory
title_full_unstemmed Super-Chern-Simons Theory as Superstring Theory
title_short Super-Chern-Simons Theory as Superstring Theory
title_sort super-chern-simons theory as superstring theory
topic Particle Physics - Theory
url http://cds.cern.ch/record/812492
work_keys_str_mv AT grassipietroantonio superchernsimonstheoryassuperstringtheory
AT policastroguiseppe superchernsimonstheoryassuperstringtheory