Compactification of the Heterotic Pure Spinor Superstring I

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 Kahler and Ricci-flatness conditions. The massless spectrum is computed using this BRST operator and it agrees with the expected result.

20 pages

References in corpus (23)

• Flux compactifications in string theory: a comprehensive review
• Super-Poincare Covariant Quantization of the Superstring
• Measurement of $J/\psi$ helicity distributions in inelastic photoproduction at HERA
• N=4 Topological Strings
• Pure Spinor Formalism as an N=2 Topological String
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• ICTP Lectures on Covariant Quantization of the Superstring
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Superstrings in 2D Backgrounds with R-R Flux and New Extremal Black Holes
• Quantization of the Type II Superstring in a Curved Six-Dimensional Background
• Conformal Invariance of the Pure Spinor Superstring in a Curved Background
• An action for N=4 supersymmetric self-dual Yang-Mills theory
• Curved 11D Supergeometry
• Lower-dimensional pure-spinor superstrings
• Compactification of the Heterotic Pure Spinor Superstring I
• One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background
• Harmonic Superspaces from Superstrings
• Non-Critical Pure Spinor Superstrings
• D=4 Pure Spinor Superstring and N=2 Strings
• Hybrid Formalism, Supersymmetry Reduction, and Ramond-Ramond Fluxes
• Type IIB Flux Vacua from the String Worldsheet

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