The Hitchin Functionals and the Topological B-Model at One Loop View Full Text


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Article Info

DATE

2005-10

AUTHORS

Vasily Pestun, Edward Witten

ABSTRACT

The quantization in quadratic order of the Hitchin functional, which defines by critical points a Calabi–Yau structure on a six-dimensional manifold, is performed. The conjectured relation between the topological B-model and the Hitchin functional is studied at one loop. It is found that the genus one free energy of the topological B-model disagrees with the one-loop free energy of the minimal Hitchin functional. However, the topological B-model does agree at one-loop order with the extended Hitchin functional, which also defines by critical points a generalized Calabi–Yau structure. The dependence of the one-loop result on a background metric is studied, and a gravitational anomaly is found for both the B-model and the extended Hitchin model. The anomaly reduces to a volume-dependent factor if one computes for only Ricci-flat Kähler metrics More... »

PAGES

21-51

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    http://scigraph.springernature.com/pub.10.1007/s11005-005-0007-9

    DOI

    http://dx.doi.org/10.1007/s11005-005-0007-9

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