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Universal W-Algebras in Quantum Field Theory

Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, MD 20742, USA

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and

Elias B. Kiritsis

Department of Physics, University of California and Theoretical Physics Group, Lawrence Berkeley Laboratory Berkeley, CA 94720, USA

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https://doi.org/10.1142/S0217751X91001428Cited by:11 (Source: Crossref)

Abstract

We outline some of the main results derived recently on the representation theory of universal W-algebras, which arise in two dimensional field theory as large N limits of W_N (extended) conformal symmetries. Certain connections with integrable systems of non-linear differential equations, hyper-Kähler geometries in four spacetime dimensions and the infinitely long chain of hermitian matrix models are also discussed.

This work was supported in part by the Director, Office of Energy Research, Office of High Energy and Nuclear Physics, Division of High Energy Physics of the U.S. Department of Energy under Contract DE-AC03–76SF00098 and in part by the National Science Foundation under grants PHY-85–15857 and PHY-87–17155.

Presented by I. Bakas