Loop Equations as a Generalized Virasoro Constraints

Details Loop Equations as a Generalized Virasoro Constraints Loop Equations as a Generalized Virasoro Constraints

1994-01-21

arxiv.org/abs/hep-th/9401107v1

Phys.Lett. B327 (1994) 90-94

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTex (3 LaTex figures), SMI-94-1

Scientific paper

10.1016/0370-2693(94)91534-2

The loop equations in the $U(N)$ lattice gauge theory are represented in the form of constraints imposed on a generating functional for the Wilson loop correlators. These constraints form a closed algebra with respect to commutation. This algebra generalizes the Virasoro one, which is known to appear in one-matrix models in the same way. The realization of this algebra in terms of the infinitesimal changes of generators of the loop space is given. The representations on the tensor fields on the loop space, generalizing the integer spin conformal fields, are constructed. The structure constants of the algebra under consideration being independent of the coupling constants, almost all the results are valid in the continuum.

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