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Non-Critical Pure Spinor Superstrings

We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spi...

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Detalles Bibliográficos
Autores principales: Adam, Ido, Grassi, Pietro Antonio, Mazzucato, Luca, Oz, Yaron, Yankielowicz, Shimon
Lenguaje:eng
Publicado: 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2007/03/091
http://cds.cern.ch/record/947804
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author Adam, Ido
Grassi, Pietro Antonio
Mazzucato, Luca
Oz, Yaron
Yankielowicz, Shimon
author_facet Adam, Ido
Grassi, Pietro Antonio
Mazzucato, Luca
Oz, Yaron
Yankielowicz, Shimon
author_sort Adam, Ido
collection CERN
description We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the non-critical pure spinor space, which is different from the ten-dimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the non-critical pure spinor type IIA superstring on AdS_4 with RR 4-form flux.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2006
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spelling cern-9478042023-03-14T17:16:38Zdoi:10.1088/1126-6708/2007/03/091http://cds.cern.ch/record/947804engAdam, IdoGrassi, Pietro AntonioMazzucato, LucaOz, YaronYankielowicz, ShimonNon-Critical Pure Spinor SuperstringsParticle Physics - TheoryWe construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the non-critical pure spinor space, which is different from the ten-dimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the non-critical pure spinor type IIA superstring on AdS_4 with RR 4-form flux.We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the non-critical pure spinor space, which is different from the ten-dimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the non-critical pure spinor type IIA superstring on AdS_4 with RR 4-form flux.hep-th/0605118CERN-PH-TH-2006-082oai:cds.cern.ch:9478042006-05-11
spellingShingle Particle Physics - Theory
Adam, Ido
Grassi, Pietro Antonio
Mazzucato, Luca
Oz, Yaron
Yankielowicz, Shimon
Non-Critical Pure Spinor Superstrings
title Non-Critical Pure Spinor Superstrings
title_full Non-Critical Pure Spinor Superstrings
title_fullStr Non-Critical Pure Spinor Superstrings
title_full_unstemmed Non-Critical Pure Spinor Superstrings
title_short Non-Critical Pure Spinor Superstrings
title_sort non-critical pure spinor superstrings
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2007/03/091
http://cds.cern.ch/record/947804
work_keys_str_mv AT adamido noncriticalpurespinorsuperstrings
AT grassipietroantonio noncriticalpurespinorsuperstrings
AT mazzucatoluca noncriticalpurespinorsuperstrings
AT ozyaron noncriticalpurespinorsuperstrings
AT yankielowiczshimon noncriticalpurespinorsuperstrings