Pure spinor partition function and the massive superstring spectrum

We explicitly compute up to the fifth mass-level the partition function of ten-dimensional pure spinor worldsheet variables including the spin dependence. After adding the contribution from the (x(mu), theta(alpha), p(alpha)) matter variables, we reproduce the massive superstring spectrum.Even thoug...

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Detalles Bibliográficos
Autores: Aisaka, Yuri [UNESP], Arroyo, E. Aldo [UNESP], Berkovits, Nathan [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/24711
Acceso en línea:http://dx.doi.org/10.1088/1126-6708/2008/08/050
http://hdl.handle.net/11449/24711
Access Level:acceso abierto
Palabra clave:superstrings and heterotic strings
conformal field models in string theory
BRST symmetry
Descripción
Sumario:We explicitly compute up to the fifth mass-level the partition function of ten-dimensional pure spinor worldsheet variables including the spin dependence. After adding the contribution from the (x(mu), theta(alpha), p(alpha)) matter variables, we reproduce the massive superstring spectrum.Even though pure spinor variables are bosonic, the pure spinor partition function contains fermionic states which first appear at the second mass-level. These fermionic states come from functions which are not globally defined in pure spinor space, and are related to the b ghost in the pure spinor formalism. This result clarifies the proper definition of the Hilbert space for pure spinor variables.