On the Supersymmetric Index of the M-theory 5-brane and Little String Theory

Abstract

We propose a six-dimensional framework to calculate the supersymmetric index of M-theory 5-branes wrapped on a six-manifold with product topology $M_4\times T^2$, where $M_4$ is a holomorphic 4-cycle in a Calabi-Yau three-fold. This is obtained by zero-modes counting of the self-dual tensor contribution plus ``little'' string states and correctly reproduces the known results which can be obtained by shrinking or blowing the $T^2$ volume parameter. We also extract the geometric moduli space of the multi M5-brane system and infer the generic structure of the supersymmetric index for more general geometries.

1+13 pages; v2: introduction expanded, to appear in PLB

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Cited by in corpus (4)

• N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae
• M5/D4 brane partition function on a circle bundle
• On the holomorphically factorized partition function for abelian gauge theory in six dimensions
• Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3