New Realisations of W Algebras and W Strings

Abstract

We discuss new realisations of $W$ algebras in which the currents are expressed in terms of two arbitrary commuting energy-momentum tensors together with a set of free scalar fields. This contrasts with the previously-known realisations, which involve only one energy-momentum tensor. Since realisations of non-linear algebras are not easy to come by, the fact that this new class exists is of intrinsic interest. We use these new realisations to build the corresponding $W$-string theories and show that they are effectively described by two independent ordinary Virasoro-like strings.

7 pages

Cited by in corpus (6)

• A Derivation of the BRST Operator for Non-Critical W-Strings
• Free Field Realization of $N=2$ Super $W_3$ Algebra
• On the generalized Miura transformation
• A Note of W-algebra Realisations
• On Realisations of W Algebras
• Multi-Field Coset Space Realizations of $w_{1+\infty }$