Workshop 1: Logarithmic CFT and representation theory
3-7 October 2011
[Click here to download the Workshop 1 poster]
Background
Logarithmic conformal field theories (LCFTs) appear in a variety of physical
contexts. These include phase transitions in 2+1 dimensional disordered
non-interacting electronic systems (such as the transition between plateaux in
the integer quantum Hall effect, integer spin quantum Hall effect etc), scaling
properties of geometrical objects such as polymers or percolation clusters,
or sigma models on supergroups, in particular in the context of the AdS/CFT conjecture.
While the study of LCFTs has long been hindered by technical difficulties, major
progress has taken place recently, thanks to new methods such as the mini-super
space approach, the construction of lattice regularizations, the theory of
indecomposable Virasoro modules.
In many of these recent developments, algebraic insights play a major role, and
profound relations with the theory of quantum groups at roots of unity and the
theory of non semi-simple associative algebras (Temperley Lieb, Brauer etc) have
been uncovered.
The purpose of this component of the workshop is to study these insights further,
to make progress on the indecomposable features of bulk LCFTs, and to
come up with physical applications.
Other topics covered will include the role of non compactedness, and the study
of renormalization group flows between LCFTs.
Confirmed participants for theme 1
Physicists: V. Bazhanov, C. Candu, J. Cardy, M. Gaberdiel, M. Henkel,
V. Mitev, T. Quella, N. Read, J. Rasmussen, D. Ridout, S. Rouhani,
I. Runkel, V. Schomerus, M. Staudacher
Mathematicians: J. Germoni, K. Iohara, G. Lehrer, O. Mathieu, P.P. Martin
Lectures
- M. Gaberdiel: Fusion in (logarithmic) conformal field theory
- A. Gainutdinov: Spin-chains, bimodules, and fusion bifunctors
- J. Germoni: Representation theory of super Lie algebras
- G. Lehrer: Tensor space, cellularity and roots of unity
- D. Ridout: Indecomposable Virasoro modules
Workshop programme
[Click here to download the Workshop 1 schedule]