Matrix String Partition Functions

Details Matrix String Partition Functions Matrix String Partition Functions

1998-09-17

arxiv.org/abs/hep-th/9809130v2

Phys.Lett. B444 (1998) 196-203

Physics

High Energy Physics

High Energy Physics - Theory

harvmac (b), 15 pages. v2 Cosmetic changes in the text and references added

Scientific paper

10.1016/S0370-2693(98)01381-1

We evaluate quasi-classically the Ramond partition function of Euclidean D=10 U(N) super-Yang--Mills theory reduced to a two-dimensional torus. The result can be interpreted in terms of free strings wrapping the space-time torus, as expected from the point of view of Matrix string theory. We demonstrate that, when extrapolated to the ultraviolet limit (small area of the torus), the quasi-classical expressions reproduce exactly the recently obtained expression for the partition of the completely reduced SYM theory, including the overall numerical factor. This is an evidence that our quasi-classical calculation might be exact.

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