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The geometry of M5-branes and TQFTs

✍ Scribed by Giulio Bonelli

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
114 KB
Volume
40
Category
Article
ISSN
0393-0440

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✦ Synopsis

The calculation of the partition function for N M5-branes is addressed for the case in which the world-volume wraps a manifold T 2 Γ— 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 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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