Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-04-30
Adv.Theor.Math.Phys.13:33-70,2009
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, LaTeX, no figures
Scientific paper
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.
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