GRASSMANNIAN COSET MODELS AND UNITARY REPRESENTATIONS OF W∞-Reference-Cited by-同舟云学术

GRASSMANNIAN COSET MODELS AND UNITARY REPRESENTATIONS OF W∞

Published:1990-10-10 Issue:25 Volume:05 Page:2039-2049
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

BAKAS IOANNIS¹,KIRITSIS ELIAS²

Affiliation:

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

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

Abstract

It is shown that the 2 – d coset models SU (p + 1)N/ SU (p)N ⊗ U (1) provide unitary representations of the chiral operator algebra W∞ in the large level (N → ∞) limit, with central charge c = 2p. For p ≥ 2, the corresponding field theories possess additional symmetries which given rise to a U (p) matrix generalization of W∞, denoted by [Formula: see text]. Its commutation relations are obtained in closed form for all values of p and W∞ is identified with the U(1) trace part of [Formula: see text]. It is also shown that [Formula: see text] at large p is associated with the algebra of symplectic diffeomorphisms in four dimensions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732390002328

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