On the Lagrangian Realization of Non-Critical $\mathcal{W}$-Strings

Abstract

A large class of non-critical string theories with extended worldsheet gauge symmetry are described by two coupled, gauged Wess-Zumino-Witten Models. We give a detailed analysis of the gauge invariant action and in particular the gauge fixing procedure and the resulting BRST symmetries. The results are applied to the example of ${\mathcal{W}}_3$ strings.

19 pages, LaTeX (REVTEX macro's)

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Cited by in corpus (3)

• Spinor Field Realizations of the half-integer $W_{2,s}$ Strings
• Physical States and BRST Operators for Higher-spin $W$ Strings
• Explicit field realizations of W algebras