A bstract We analyze so-called generalized Veneziano and Virasoro amplitudes. Under some physical assumptions, we find that their spectra must satisfy an over-determined set of non-linear recursion relations. The relation for the amplitudes can be solved analytically yields a two-parameter family which includes amplitude, one-parameter Coon amplitudes, larger with infinite tower spins at each m...

Exploiting Virasoro constraints on the effective finite-volume partition function, we derive generalized Leutwyler-Smilga spectral sum rules of the Dirac operator to high order. By introducing N v fermion species of equal masses, we next use the Virasoro constraints to compute two (low-mass and large-mass) expansions of the partially quenched chiral condensate through the replica method of lett...

In the framework of the Sine-Gordon (SG) theory we will present the construction of a dynamical Virasoro symmetry which has nothing to do with the space-time Virasoro symmetry of 2D CFT. Although, it is non-local in the SG field theory, nevertheless it gives rise to a local action on specific N-soliton solution variables. These analytic variables possess a beautiful geometrical meaning and ente...

The rational and C2-cofinite simple vertex operator algebras whose effective central charges and the central charges c are equal and less than 1 are classified. Such a vertex operator algebra is zero if c̃ < 0 and C if c̃ = 0. If c̃ > 0, it is an extension of discrete Virasoro vertex operator algebra L(cp,q, 0) by its irreducible modules. It is also proved that for any rational and C2-cofinite sim...

First we briefly describe the link between the Virasoro algebra and the free scalar field on a two-dimensional space-time given as a standard commutative cylinder, and in the Euclidean version on a complex plane. The field-theoretical model generalized then to the noncommutative cylinder leads to discrete time-evolution. Its Euclidean version is shown to be equivalent to a model on a complex q-...

We discuss an application of the method of the angular quantization to reconstruction of form-factors of local fields in massive integrable models. The general formalism is illustrated with examples of the Klein-Gordon, sinh-Gordon and Bullough-Dodd models. For the latter two models the angular quantization approach makes it possible to obtain free field representations for form-factors of expo...

With the help of squared eigenfunction potential, action Virasoro symmetry on tau function constrained discrete KP hierarchy is derived.