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Compactification of the Heterotic Pure Spinor Superstring I

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arxiv 0907.2247 v2 pith:IAGYTQNP submitted 2009-07-14 hep-th

Compactification of the Heterotic Pure Spinor Superstring I

classification hep-th
keywords brstheteroticoperatorpurespinoragreesbackgroundbegin
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 Kahler and Ricci-flatness conditions. The massless spectrum is computed using this BRST operator and it agrees with the expected result.

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  1. A note on conserved worldsheet supercharges in heterotic pure spinor superstring

    hep-th 2026-06 unverdicted novelty 3.0

    Derives covariant superspace constraints from BRST invariance and worldsheet conservation that recover standard 10D supersymmetry in flat space and require a normalizable spinor superfield for global supersymmetry in ...