engleski

Construction of intertwining operators and logarithmic modules for Heisenberg-Virasoro vertex algebra at level zero and $W(2,2)$- algebra

We recall our recent result on fusion rules and the representation theory of the Heisenberg-Virasoro vertex algebra at level zero (arXiv:1405.1707 ; arXiv 1703.00531). We present fusion rules and explicitly realize corresponding intertwining operators for irreducible highest weight modules which are not Verma. We also present a realization of interesting family of logarithmic modules. In the end we discuss some applications to the vertex algebra W(2, 2) which is realized as subalgebra of the Heisenberg-Virasoro vertex algebra at level zero. (This is a joint work with D. Adamović).

vertex algebras, intertwining operators, fusion rules, screening operators

nije evidentirano