J.-S. Caux The double-boundary Ising and sine-Gordon models Integrable theories with boundaries have attracted a lot of interest in the recent past. In this talk, the finite-size Ising and sine-Gordon models will be studied. The TBA equations for independent left and right boundary parameters will be presented, together with related physical applications. Anastasia Doikou Principal chiral model scattering and the alternating quantum spin chain We consider the critical alternating quantum spin chain with $q_{+}/2$, $q_{-}/2$ spins. Using the Bethe ansatz technique we find explicit expressions for the $S$-matrix of the model. We show that in the limit that $q_{\pm} \rightarrow \infty$ our results coincide with the ones obtained for the principal chiral model level one, for the LL (RR) LR scattering. We also study the scattering of the bound states of the model and we recover the result of the sine-Gordon model. Clare Dunning BA equations and curious spectral equivalences Using the recently-observed correspondence between integrable models and ordinary differential equations, I will discuss a number of dualities between the spectra of certain second- and third-order ordinary differential equations. Victor Gurarie Conformal Field Theory at c=0 Motivated by disordered systems in condensed matter physics, we study conformal field theories at c=0. We argue most of those have logarithmic singularities in their correlation functions. We identify the operator algebra responsible for the logarithms, which we refer to as the logarithmic algebra. Further studies of this algebra may lead to better understanding about what happens at c=0. Shinsuke Kawai On boundary states of logarithmic CFTs In the c=-2 logarithmic conformal field theory, I discuss newly found boundary states with consistent modular transformation properties in terms of symplectic fermions. This talk is based on our recent work (hep-th/0103197). Ingo Runkel A limit of minimal models Minimal models are - apart from free theories - the easiest and best investigated conformal field theories. The knowledge of bulk and boundary structure constants makes it possible to investigate the limit as the central charge c approaches 1. This leads to new insights about minimal models, as well as to a conjecture for a new conformal field theory with c=1. |