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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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