A Modular Invariant Partition Function for the Fivebrane

Abstract

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.

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

References in corpus (5)

• Covariant Action for a D=11 Five-Brane with the Chiral Field
• World-Volume Action of the M Theory Five-Brane
• On the equivalence of different formulations of the M Theory five--brane
• An action for the super-5-brane in D=11 supergravity
• Coupling a Self-Dual Tensor to Gravity in Six Dimensions

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