The Partition Function in the Four-Dimensional Schwarz-type Topological Half-Flat Two-Form Gravity

Details The Partition Function in the Four-Dimensional Schwarz-type Topological Half-Flat Two-Form Gravity The Partition Function in the Four-Dimensional Schwarz-type Topological Half-Flat Two-Form Gravity

1996-06-03

arxiv.org/abs/hep-th/9606002v3

Mod.Phys.Lett. A12 (1997) 381-392

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTex, Replacement: the conclusion is corrected

Scientific paper

10.1142/S021773239700039X

We derive the partition functions of the Schwarz-type four-dimensional topological half-flat 2-form gravity model on K3-surface or T^4 up to on-shell one-loop corrections. In this model the bosonic moduli spaces describe an equivalent class of a trio of the Einstein-K\"ahler forms (the hyperk\"ahler forms). The integrand of the partition function is represented by the product of some $\bar \partial$-torsions.

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