U-duality from Matrix Membrane Partition Function

Details U-duality from Matrix Membrane Partition Function U-duality from Matrix Membrane Partition Function

2001-07-18

arxiv.org/abs/hep-th/0107145v2

Phys.Lett. B522 (2001) 145-154

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(01)01272-2

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.

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