Unified description of correlators in non-Gaussian phases of Hermitean matrix model
Dec, 2004
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Abstract:
Following the program, proposed in hep-th/0310113, of systematizing known properties of matrix model partition functions (defined as solutions to the Virasoro-like sets of linear differential equations), we proceed to consideration of non-Gaussian phases of the Hermitean one-matrix model. A unified approach is proposed for description of connected correlators in the form of the phase-independent check-operators acting on the small space of T-variables (which parameterize the polynomial W(z)). With appropriate definitions and ordering prescriptions, the multidensity check-operators look very similar to the Gaussian case (however, a reliable proof of suggested explicit expressions in all loops is not yet available, only certain consistency checks are performed).- String theory
- matrix models
- matrix model
- partition function
- correlation function
- operator: algebra
- algebra: Virasoro
- constraint
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