2000/12/31 by G. Bonelli, Giulio Bonelli
Mathematics · Physics and Astronomy · #Algebraic number #Black Holes and Theoretical Physics #Compactification (mathematics) #Equivalence (formal languages) #Homotopy and Cohomology in Algebraic Topology #Limit (mathematics) #Manifold (fluid mechanics) #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Orbifold #Torus #hep-th
paper · pdf · doi:10.1016/s0393-0440(01)00010-9
published as J.Geom.Phys.40:13-25,2001 · 17+1 pages, LaTeX file; v2 misprints corrected and clarifications added, final version to appear in Journal of Geometry and Physics
arxiv created 2001/01/29 · openalex publication_date 2001/11/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The calculation of the partition function for N M5-branes is addressed for the case in which the worldvolume wraps a manifold T2× M4, where M4 is simply connected and Kaehler. This is done in a compactification of M-theory which induces the Vafa-Witten theory on M4 in the limit of vanishing torus volume. The results follow from the equivalence of the BPS spectrum counting in the complementary limit of vanishing M4 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.