Next weeks'seminar at SISSA

[Cond.Matt. & Stat.Mech.Section]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

 

 Tuesday, 18 October   -   11:00 hrs.

 

SISSA, Santorio Building,  Room 108 (1st Floor)

 



P. PEARCE    ( University of Melbourne )

 

"Coset graphs in logarithmic minimal models"



Abstract

 

An overview is given of the logarithmic minimal models as prototypical examples of logarithmic CFTs.  In the boundary theory, multiplication in the Grothendieck ring of W-projective representations leads to a Verlinde-like formula involving A-type twisted affine graphs and their coset graphs.

This provides compact formulas for the conformal partition functions with W-projective boundary conditions. On the torus, modular invariant partition functions are proposed as sesquilinear forms in W-projective and rational minimal characters that are encoded by the same coset fusion graphs.