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arXiv · hep-th/0107051

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

G. Bonelli
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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.

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G. Bonelli. 2001-11-11. On the Supersymmetric Index of the M-theory 5-brane and Little String Theory. https://doi.org/10.1016/s0370-2693(01)01172-8

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