A Modular Invariant Partition Function for the Fivebrane

Details A Modular Invariant Partition Function for the Fivebrane A Modular Invariant Partition Function for the Fivebrane

1998-06-02

arxiv.org/abs/hep-th/9806016v2

Nucl.Phys.B530:683-700,1998

Physics

High Energy Physics

High Energy Physics - Theory

27 pages. References added. To appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)00537-9

We compute an SL(6,Z) invariant partition function for the chiral two-form of the M theory fivebrane compactified on the six-torus. From a manifestly SL(5,Z) invariant formalism, we prove that the partition function has an additional SL(2,Z) symmetry. The combination of these two symmetries ensures SL(6,Z) invariance. Thus, whether or not a fully covariant Lagrangian is available, the fivebrane on the six-torus has a consistent quantum theory.

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