# Seminars & Colloquia Calendar

Lie Group Quantum Mathematics Seminar

## 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.

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