Compactification of the heterotic pure spinor superstring II

Osvaldo Chandía, William D. Linch, Brenno Carlini Vallilo

Resultado de la investigación: Article

1 Cita (Scopus)

Resumen

We study compactifications of the heterotic pure spinor superstring to six and four dimensions focusing on two simple Calabi-Yau orbifolds. We show that the correct spectrum can be reproduced only if, in the twisted sector, there remain exactly 5 and 2 pure spinor components untwisted, respectively. This naturally defines a "small" Hilbert space of untwisted variables. We point out that the cohomology of the reduced differential on this small Hilbert space can be used to describe the states in the untwisted sector, provided certain auxiliary constraints are defined. In dimension six, the mismatch between the number of pure spinor components in the small Hilbert space and the number of components of a six-dimensional pure spinor is interpreted as providing the projective measure on the analytic subspace (in the projective description) of harmonic superspace.

Idioma originalEnglish
Número de artículo098
PublicaciónJournal of High Energy Physics
Volumen2011
N.º10
DOI
EstadoPublished - 2011

Huella dactilar

Hilbert space
sectors
homology
harmonics

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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Compactification of the heterotic pure spinor superstring II. / Chandía, Osvaldo; Linch, William D.; Vallilo, Brenno Carlini.

En: Journal of High Energy Physics, Vol. 2011, N.º 10, 098, 2011.

Resultado de la investigación: Article

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AU - Chandía, Osvaldo

AU - Linch, William D.

AU - Vallilo, Brenno Carlini

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AB - We study compactifications of the heterotic pure spinor superstring to six and four dimensions focusing on two simple Calabi-Yau orbifolds. We show that the correct spectrum can be reproduced only if, in the twisted sector, there remain exactly 5 and 2 pure spinor components untwisted, respectively. This naturally defines a "small" Hilbert space of untwisted variables. We point out that the cohomology of the reduced differential on this small Hilbert space can be used to describe the states in the untwisted sector, provided certain auxiliary constraints are defined. In dimension six, the mismatch between the number of pure spinor components in the small Hilbert space and the number of components of a six-dimensional pure spinor is interpreted as providing the projective measure on the analytic subspace (in the projective description) of harmonic superspace.

KW - Superstring vacua

KW - Superstrings and heterotic strings

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