Compactification of the Heterotic Pure Spinor

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Compactification of the Heterotic Pure Spinor (907)

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by Superstring I , Osvaldo Ch , William D. Linch , Brenno Carlini Vallilo

BibTeX

@MISC{I907compactificationof,
    author = {Superstring I and Osvaldo Ch and William D. Linch and Brenno Carlini Vallilo},
    title = {Compactification of the Heterotic Pure Spinor},
    year = {907}
}

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Abstract

In this paper we begin the study of compactifications of the pure spinor formalism for superstrings. As a first example of such a process we study the case of the heterotic string in a Calabi-Yau background. We explicitly construct a BRST operator imposing N = 1 four-dimensional supersymmetry and show that nilpotence implies Kähler and Ricci-flatness conditions. The massless spectrum is computed using this BRST operator and it agrees with the expected result. 1

Keyphrases

heterotic pure spinor brst operator nilpotence implies hler heterotic string expected result massless spectrum ricci-flatness condition first example calabi-yau background four-dimensional supersymmetry

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