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arXiv · hep-th/9809130

Matrix String Partition Functions

Ivan K. Kostov·Pierre Vanhove
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Abstract

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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Ivan K. Kostov, Pierre Vanhove. 1998-09-28. Matrix String Partition Functions. https://doi.org/10.1016/s0370-2693(98)01381-1

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