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Matrix-model dualities in the collective field formulation

Ivan Andric1 and Danijel Jurman1

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We establish a strong-weak coupling duality between two types of free matrix models. In the large-N limit, the real-symmetric matrix model is dual to the quaternionic-real matrix model. Using the large-N conformal invariant collective field formulation, the duality is displayed in terms of the generators of the conformal group. The conformally invariant master hamiltonian is constructed and we conjecture that the master hamiltonian corresponds to the hermitian matrix model.


Keywords

Field Theories in Lower Dimensions

Conformal and W Symmetry

Matrix Models

PACS

11.25.Yb M theory

11.25.Hf Conformal field theory, algebraic structures

12.40.Nn Regge theory, duality, absorptive/optical models

Subjects

Particle physics and field theory

Dates

Issue 01 (January 2005)

Received 5 November 2004, accepted for publication 24 January 2005

Published 31 January 2005



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