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BGWM as second constituent of complex matrix model

A. Alexandrova,b, A. Mironovc,b and A. Morozovb

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In [1] we explained that partition functions of various matrix models can be constructed from that of the cubic Kontsevich model, which, therefore, becomes a basic elementary building block in "M-theory" of matrix models [2]. However, the less topical complex matrix model appeared to be an exception: its decomposition involved not only the Kontsevich τ-function but also another constituent, which we now identify as the Brezin-Gross-Witten (BGW) partition function. The BGW τ-function can be represented either as a generating function of all unitary-matrix integrals or as a Kontsevich-Penner model with potential 1/X (instead of X3 in the cubic Kontsevich model).

Keywords

Topological Strings

M-Theory

Integrable Hierarchies

Matrix Models

 

E-print Number: 0906.3305

Cited: by |

Refers: to

PACS

11.25.Yb M theory

Subjects

Particle physics and field theory

Dates

Issue 12 (December 2009)

Received 23 July 2009, accepted for publication 12 November 2009

Published 17 December 2009



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