Untwisting the pure spinor formalism to the RNS and twistor string in a flat and AdS5 × S 5 background
Abstract: The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators jBRST and composite b ghost. After untwisting the formalism to an N=1 worldsheet theory with fermionic stress tensor jBRST + b, the worldsheet variables combine into...
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2016 |
| País: | Brasil |
| Recursos: | Universidade Estadual Paulista (UNESP) |
| Repositório: | Repositório Institucional da UNESP |
| Idioma: | inglês |
| OAI Identifier: | oai:repositorio.unesp.br:11449/173181 |
| Acesso em linha: | http://dx.doi.org/10.1007/JHEP06(2016)127 http://hdl.handle.net/11449/173181 |
| Access Level: | Acceso aberto |
| Palavra-chave: | AdS-CFT Correspondence Superstrings and Heterotic Strings Topological Strings |
| Resumo: | Abstract: The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators jBRST and composite b ghost. After untwisting the formalism to an N=1 worldsheet theory with fermionic stress tensor jBRST + b, the worldsheet variables combine into N=1 worldsheet superfields Xm and Θα together with a superfield constraint relating DXm and DΘα. The constraint implies that the worldsheet superpartner of θα is a bosonic twistor variable, and different solutions of the constraint give rise to the pure spinor or extended RNS formalisms, as well as a new twistor-string formalism with manifest N=1 worldsheet supersymmetry. These N=1 worldsheet methods generalize in curved Ramond-Ramond backgrounds, and a manifestly N=1 worldsheet supersymmetric action is proposed for the superstring in an AdS5 × S5 background in terms of the twistor superfields. This AdS5 × S5 worldsheet action is a remarkably simple fermionic coset model with manifest PSU(2, 2|4) symmetry and might be useful for computing AdS5 × S5 superstring scattering amplitudes. |
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