MS Seminar (Mathematics - String Theory)

Speaker: Simon Wood (Australian National University)
Title: A working Verlinde Formula for logarithmic CFT
Date: Tue, Apr 01, 2014, 13:15 - 14:45
Place: Seminar Room A
Abstract: In rational CFT the Verlinde formula yields a simple method for computing fusion coefficients from the modular properties of characters of representations of the chiral algebra. In logarithmic CFT the Verlinde formula faces a number of difficulties. For example logarithmic CFT admits representations that are reducible yet indecomposable. The character of such an indecomposable representation cannot be distinguished from the character of the direct sum of the representation's composition factors. Therefore the Verlinde formula will also not be able make such a distinction. In this talk I will explain how to address such issues for the examples of the logarithmic extensions of the Virasoro minimal models called the triplet and singlet algebras.