Seminars & Colloquia Calendar
Fusion rules for the Virasoro algebra of central charge 25
Florencia Orosz Hunziker, Yale University
Location: Hill 705
Date & time: Friday, 01 February 2019 at 12:00PM - 1:00PM
- Abstract: In 1990 Feigin and Fuchs established a correspondence between the Verma modules for the Virasoro algebras of dual central charges \(c\) and \(26- c\). In later work, the irreducible quotient module \(L(c,0)\) was proved to be a vertex operator algebra called the Virsasoro VOA of central charge \(c\). In this talk we will discuss an extension of the Feigin-Fuchs correspondence to the vertex algebra setting for the case \(c=1\) and \(c=25\). We will prove the the fusion rules for the non-Verma irreducible \(L(25,0)\)-modules coincide the fusion rules for the non-Verma irreducible \(L(1,0)\)-modules.