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arXiv · hep-th/0608228

Instantons and Merons in Matrix Models

A. Alexandrov·A. Mironov·A. Morozov
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Abstract

Various branches of matrix model partition function can be represented as intertwined products of universal elementary constituents: Gaussian partition functions Z_G and Kontsevich tau-functions Z_K. In physical terms, this decomposition is the matrix-model version of multi-instanton and multi-meron configurations in Yang-Mills theories. Technically, decomposition formulas are related to representation theory of algebras of Krichever-Novikov type on families of spectral curves with additional Seiberg-Witten structure. Representations of these algebras are encoded in terms of "the global partition functions". They interpolate between Z_G and Z_K associated with different singularities on spectral Riemann surfaces. This construction is nothing but M-theory-like unification of various matrix models with explicit and representative realization of dualities.

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A. Alexandrov, A. Mironov, A. Morozov. 2006-08-31. Instantons and Merons in Matrix Models. https://doi.org/10.1016/j.physd.2007.04.018

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