Using the holographic machinery built up in a previous work, we show that the hidden SL(2,R) symmetry of a scalar quantum field propagating in a Rindler spacetime admits an enlargement in terms of a unitary positive-energy representation of Virasoro algebra defined in the Fock representation. That representation has central charge c = 1. The Virasoro algebra of operators gets a manifest geometr...

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...

In this paper, we complete the classification of the Z-graded modules of the intermediate series over the q-analog Virasoro-like algebra L. We first construct four classes of irreducible Z-graded L-modules of the intermediate series. Then we prove that any Z-graded L-modules of the intermediate series must be the direct sum of some trivial L-modules or one of the modules constructed by us.

In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial “highest weight” has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occ...

We construct an infinite class of eigenmodes with integer eigenvalues for the Vacuum Modular Hamiltonian a single interval $N$ in 2d CFT and study some its interesting properties, which includes action on OPE blocks as well bulk duals. Our analysis suggests that these eigenmodes, like have natural description so called kinematic space CFT$_2$ particular realize Virasoro algebra theory this spac...

Starting from a detailed analysis of the structure of pathspaces of the A-fusion graphs and the corresponding irreducible Virasoro algebra quotients V (c, h) for the (2, q odd) models, we introduce the notion of an admissible pathspace representation. The pathspaces PA over the A-Graphs are isomorphic to the pathspaces over Coxeter A-graphs that appear in FB models. We give explicit constructio...

The tensor product of highest weight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [Z] in 1997. Since then the irreducibility problem for the tensor products has been open. In this paper, we determine the necessary and sufficient conditions for these tensor products to be simple. From non-simple tensor products, we can get other interesting simple Vir...