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

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

2001-07-06

arxiv.org/abs/hep-th/0107051v2

Phys.Lett. B521 (2001) 383-390

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(01)01172-8

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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