Statistical Field Theories

Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.

I Integrable Models and Conformal Field Theories.- Field Theory of Scaling Lattice Models: The Potts Antiferromagnet.- The ODE/IM Correspondence and PT-symmetric Quantum Mechanics.- Coupled Models W D3(p) : Their Fixed Points.- The Combinatorics of Alternating Tangles: From Theory to Computerized Enumeration.- On the Sine-Gordon One-Point Functions.- On Vertex Operators and the Normalization of Form Factors.- Integrable Chain Models with Staggered R-matrices.- On the Quantization of Affine Jacobi Varieties of Spectral Curves.- Rational Conformai Field Theory in Four Dimensions.- Perturbed Conformal Field Theory on a Sphere.- II Integrable and Conformal Field Theories with Boundaries.- Two-boundary Integrability and the Josephson Current in a Luttinger Liquid.- Coupling the Sine-Gordon Field Theory to a Mechanical System at the Boundary.- Reflection Amplitudes and Expectation Values of Fields in Integrable Boundary Theories.- Integrable Boundary Conditions for the O(N) Nonlinear Sigma Model.- Verlinde Nim-reps for Charge Conjugate sl(N) WZW Theory.- Open-String Models with Broken Supersymmetry.- Conformal Boundary Conditions and 3D Topological Field Theory.- The Spectrum of Boundary Sine-Gordon Theory.- III Disordered Systems.- A Classification of Non-Hermitian Random Matrices.- The Stress Tensor in Quenched Random Systems.- Taking N ? 0 with S Matrices.- Scattering in Quantum Field Theories with Supergroup Invariance.- Nishimori Point in Random-Bond Ising and Potts Models in 2D.- 2D Random Dirac Fermions: Large N Approach.- IV Quantum Hall Effect and Condensed Matter Applications.- Impurities in One Dimension.- Axions, Quantum Mechanical Pumping, and Primeval Magnetic Fields.- Paired and Clustered Quantum Hall States.- Integrability and Conformal Symmetry in the BCSModel.- Wavefunction Statistics at the Quantum Hall Critical Point.- Aharonov-Bohm Effect in the Quantum Hall Regime and Laplacian Growth Problems.