U-duality from Matrix Membrane Partition Function

Abstract

We analyse supermembrane instantons (fully wrapped supermembranes) by computing the partition function of the three-dimensional supersymmetrical U(N) matrix model under periodic boundary conditions. By mapping the model to a cohomological field theory and considering a mass-deformation of the model, we show that the partition function exactly leads to the U-duality invariant measure factor entering supermembrane instanton sums. On the other hand, a computation based on the quasi-classical assumption gives the non U-duality invariant result of the zero-mode analysis by Pioline et al. This is suggestive of the importance of supermembrane self-interactions and shows a crucial difference from the matrix string case.

harvmac, 16 pages. v2: minor textual changes. version to appear in Physics Letter B

References in corpus (3)

• $R^4$ couplings, the fundamental membrane and exceptional theta correspondences
• Notes on Soliton Bound-State Problems in Gauge Theory and String Theory
• Perturbative world-volume dynamics of the bosonic membrane and string

Cited by in corpus (9)

• Covariant One-Loop Amplitudes in D=11
• Minimal representations, spherical vectors, and exceptional theta series I
• Small representations, string instantons, and Fourier modes of Eisenstein series (with an appendix by D. Ciubotaru and P. Trapa)
• Higher-derivative gauge field terms in the M-theory action
• The Automorphic Membrane
• U-duality covariant membranes
• Membranes for Topological M-Theory
• M-theory and the string genus expansion
• Open Superstring on Symmetric Product