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January 2009 Notes on certain other (0,2) correlation functions
Eric Sharpe
Adv. Theor. Math. Phys. 13(1): 33-70 (January 2009).

Abstract

In this paper, we shall describe some correlation function computations in perturbative heterotic strings that generalize B model computations. On the (2,2) locus, correlation functions in the B model receive no quantum corrections, but off the (2,2) locus, that can change. Classically, the (0,2) analogue of the B model is equivalent to the previously discussed (0,2) analogue of the A model, but with the gauge bundle dualized — our generalization of the A model also simultaneously generalizes the B model. The A and B analogues sometimes have different regularizations, however, which distinguish them quantum-mechanically. We discuss how properties of the (2,2) B model, such as the lack of quantum corrections, are realized in (0,2) A model language. In an appendix, we also extensively discuss how the Calabi–Yau condition for the closed string B model (uncoupled to topological gravity) can be weakened slightly, a detail which does not seem to have been covered in the literature previously. That weakening also manifests in the description of the (2,2) B model as a (0,2) A model.

Citation

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Eric Sharpe . "Notes on certain other (0,2) correlation functions." Adv. Theor. Math. Phys. 13 (1) 33 - 70, January 2009.

Information

Published: January 2009
First available in Project Euclid: 21 January 2009

zbMATH: 1171.81420
MathSciNet: MR2471852

Rights: Copyright © 2009 International Press of Boston

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Vol.13 • No. 1 • January 2009
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