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

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

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 - t h / 97 05 04 3 v 1 7 M ay 1 99 7 Universality of the R - deformed Heisenberg algebra ∗

We show that deformed Heisenberg algebra with reflection emerging in parabosonic constructions is also related to parafermions. This universality is discussed in different algebraic aspects and is employed for the description of spin-j fields, anyons and supersymmetry in 2+1 dimensions.

ar X iv : h ep - p h / 97 05 45 5 v 1 2 8 M ay 1 99 7 LECTURE 1 Spectral Fluctuations of the QCD Dirac Operator

ar X iv : h ep - t h / 95 05 05 9 v 1 1 0 M ay 1 99 5 orthochronous The Conformal Spin and Statistics Theorem

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.