ar X iv : h ep - t h / 97 05 11 9 v 2 5 D ec 1 99 7 Virasoro Algebra and O ( N ) σ - model

ar X iv : h ep - t h / 97 05 11 9 v 1 1 5 M ay 1 99 7 Virasoro Algebra and O ( N ) σ - model

Within the framework of a local expansion of the logarithm of the O(N) σmodel vacuum functional, valid for slowly varying fields, the modified Virasoro algebra is studied. The operator-like central charge term is given, up to second order, for a general functional. Typeset using REVTEX ∗Email address: [email protected]

ar X iv : h ep - p h / 97 12 41 5 v 1 1 7 D ec 1 99 7 The ALLM parameterization of σ tot ( γ ∗ p ) an update

ar X iv : h ep - t h / 99 01 13 9 v 1 2 7 Ja n 19 99 hep - th / 9901139 SU - ITP - 9901 January 1999 Conformal Mechanics and the Virasoro Algebra

We demonstrate that any scale-invariant mechanics of one variable exhibits not only 0+1 conformal symmetry, but also the symmetries of a full Virasoro algebra. We discuss the implications for the adS/CFT correspondence.

ar X iv : h ep - t h / 95 10 18 9 v 1 2 5 O ct 1 99 5 revised version q - Virasoro Operators from an Analogue of the Noether Currents 1

We discuss the q-Virasoro algebra based on the arguments of the Noether currents in a two-dimensional massless fermion theory as well as in a three-dimensional nonrelativistic one. Some notes on the q-differential operator realization and the central extension are also included.

ar X iv : h ep - t h / 97 12 10 2 v 1 9 D ec 1 99 7 hep - th / 9712102

We classify and explicitly construct the embedding diagrams of Verma modules over the N =2 supersymmetric extension of the Virasoro algebra. The essential ingredient of the solution consists in drawing the distinction between two different types of submodules appearing in N = 2 Verma modules. The problem is simplified by associating to every N=2 Verma module a relaxed Verma module over the affi...