The geometry of the M5-branes and TQFTs

Details The geometry of the M5-branes and TQFTs The geometry of the M5-branes and TQFTs

2000-12-08

arxiv.org/abs/hep-th/0012075v2

J.Geom.Phys. 40 (2001) 13-25

Physics

High Energy Physics

High Energy Physics - Theory

17+1 pages, LaTeX file; v2 misprints corrected and clarifications added, final version to appear in Journal of Geometry and Ph

Scientific paper

10.1016/S0393-0440(01)00010-9

The calculation of the partition function for N M5-branes is addressed for the case in which the worldvolume wraps a manifold $T^2\times M_4$, where $M_4$ is simply connected and Kaehler. This is done in a compactification of M-theory which induces the Vafa-Witten theory on $M_4$ in the limit of vanishing torus volume. The results follow from the equivalence of the BPS spectrum counting in the complementary limit of vanishing $M_4$ volumes and from a classification of the the moduli space of quantum vacua of the supersymmetric twisted theory in terms of associated spectral covers. This reduces the problem of the moduli counting to algebraic equations.

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