On the continuum limit of the conformal matrix models
Copyright policy )On the continuum limit of the conformal matrix models
The double scaling limit of a new class of the multi-matrix models proposed in Ref. 1, which possess the W-symmetry at the discrete level, is investigated in detail. These models are demonstrated to fall into the same universality class as the standard multi-matrix models. In particular, the transformation of the W-algebra at the discrete level into the continuum one of the papers2 is proposed and the corresponding partition functions compared. All calculations are demonstrated in full in the first nontrivial case of W(3)-constraints.
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences Russian Federation
- Kyoto University Japan
- Research Institute for Mathematical Sciences Japan
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Virasoro and related algebras, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, multi-matrix models, Quantization of the gravitational field, double scaling limit, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Continuum limits in quantum field theory
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Virasoro and related algebras, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, multi-matrix models, Quantization of the gravitational field, double scaling limit, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Continuum limits in quantum field theory
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