NDLI: The Hitchin Functionals and the Topological B-Model at One Loop

Content Provider	Springer Nature Link
Author	Pestun, Vasily Witten, Edward
Copyright Year	2005
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
Starting Page	21
Ending Page	51
Page Count	31
File Format	PDF
ISSN	03779017
Journal	Letters in Mathematical Physics
Volume Number	74
Issue Number	1
e-ISSN	15730530
Language	English
Publisher	Springer Netherlands
Publisher Date	2005-11-12
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	generalized complex structures topological M-theory topological B-model Group Theory and Generalizations Geometry Statistical Physics Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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