We review some of the recent developments in the construction of W-string theories. These are generalisations of ordinary strings in which the two-dimensional " worldsheet " theory, instead of being a gauging of the Virasoro algebra, is a gauging of a higher-spin extension of the Virasoro algebra—a W algebra. Despite the complexity of the (non-linear) W algebras, it turns out that the spectrum ...

We discuss the quantization of a scalar field in three-dimensional asymptotic de Sitter space. We obtain explicit expressions for the Noether currents generating the isometry group in terms of the modes of the scalar field and the Liouville gravitational field. We extend the SL(2, C) algebra of the Noether charges to a full Virasoro algebra by introducing non-local conserved charges. The Viraso...

We compute the one-dimensional configuration sums of the ABF model using the fermionic technique introduced in part I of this paper. Combined with the results of Andrews, Baxter and Forrester, we find proof of polynomial identities for finitizations of the Virasoro characters χ (r−1,r) b,a (q) as conjectured by Melzer. In the thermodynamic limit these identities reproduce Rogers–Ramanujan type ...

The present paper is another step toward the classification of ZZ×ZZ-graded Lie algebras: we classify ZZ×ZZ-graded Lie algebras A = ⊕i,j∈ZZAi,j over a field IF of characteristic 0 with dimAi,j ≤ 1 for i, j ∈ ZZ, satisfying: (1) A0 = ⊕i∈ZZAi,0 ≃ Vir, the centerless Virasoro algebra, (2) A0,−1,A0,0,A0,1 span the 3-dimensional simple Lie algebra sl2, (3) A is generated by the centerless Virasoro a...

A bstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. compute the change g -factor, reflectivity, and entanglement entropy defect at end these short RG flows. also give instances such flows diagonal Virasoro Super-Virasoro Minimal Models.

We study bosonic string theory in the light-cone gauge on AdS3 spacetime with zero radius of curvature (in string units) R/ √ α′ = 0. We find that the worldsheet theory admits an infinite number of conserved quantities which are naturally interpreted as spacetime charges and which form a representation of (two commuting copies of) a Virasoro algebra. Near the boundary of AdS3 these charges are ...

Some Realization of gl q (n)-covariant Oscillator Algebra and gl q (n)-covariant q-Virasoro Algebra with q a root of unity. Abstract In this paper some realization of gl q (n)-covariant oscillators is obtained when q is a root of unity. And the gl q (n)-covariant q-Virasoro algebra is presented by using the gl q (n)-covariant oscillators.

We study the dynamics of the generalized Euler equations on Virasoro groups D̂(S1) with different Sobolev H metric (k ≥ 2) on the Virasoro algebra. We first prove that the solutions to generalized Euler equations will not blow up in finite time and then study the stability of the trivial solutions.

We derive properties of N-extended GR super Virasoro algebras. These include adding central extensions, identification of all primary fields and the action of the adjoint representation on its dual. The final result suggest identification with the spectrum of fields in supergravity theories and superstring/M-theory constructed from NSR N-extended supersymmetric GR Virasoro algebras.