Supersymmetry Breaking Effects using the Pure Spinor Formalism of the Superstring

Abstract

The SO(32) heterotic superstring on a Calabi-Yau manifold can spontaneously break supersymmetry at one-loop order even when it is unbroken at tree-level. It is known that calculating the supersymmetry-breaking effects in this model gives a relatively accessible test case of the subtleties of superstring perturbation theory in the RNS formalism. In the present paper, we calculate the relevant amplitudes in the pure spinor approach to superstring perturbation theory, and show that the regulator used in computing loop amplitudes in the pure spinor formalism leads to subtleties somewhat analogous to the more familiar subtleties of the RNS approach.

arXiv comment21 pages

References in corpus (8)

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• Supersymmetry Restoration in Superstring Perturbation Theory
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a Flat and $Ad{S}_5\times S^5$ Background
• Simplifying one-loop amplitudes in superstring theory
• Low momentum expansion of one loop amplitudes in heterotic string theory
• Space-time supersymmetry in WZW-like open superstring field theory
• One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
• Towards the underlying gauge theory of the pure spinor superstring
• An Update on Perturbative N=8 Supergravity