Logarithmic limits of minimal models
نویسنده
چکیده
It is discussed how a limiting procedure of (super)conformal field theories may result in logarithmic (super)conformal field theories. The construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory (CFT) and in N = 1 superconformal field theory. The resulting infinite family of logarithmic models may be seen as belonging to the boundary of the set of minimal models. Examples of logarithmic CFTs thus obtained have integer central charges 1, −2, −7 and −24, and half-integer values 3/2 and −5/2 in the superconformal case.
منابع مشابه
Jordan cells in logarithmic limits of conformal field theory
It is discussed how a limiting procedure of conformal field theories may result in logarithmic conformal field theories with Jordan cells of arbitrary rank. This extends our work on rank-two Jordan cells. We also consider the limits of certain three-point functions and find that they are compatible with known results. The general construction is illustrated by logarithmic limits of minimal mode...
متن کاملLogarithmic Minimal Models
Working in the dense loop representation, we use the planar Temperley-Lieb algebra to build integrable lattice models called logarithmic minimal models LM(p, p′). Specifically, we construct Yang-Baxter integrable Temperley-Lieb models on the strip acting on link states and consider their associated Hamiltonian limits. These models and their associated representations of the Temperley-Lieb algeb...
متن کاملLogarithmic Conformal Field Theory Solutions of Two Dimensional Magnetohydrodynamics
We consider the application of logarithmic conformal field theory in finding solutions to the turbulent phases of 2-dimensional models of magnetohydrodynamics. These arise upon dimensional reduction of standard (infinite conductivity) 3-dimensional magnetohydrodynamics, after taking various simplifying limits. We show that solutions of the corresponding Hopf equations and higher order integrals...
متن کاملIntegrable Boundary Conditions and W - Extended Fusion in the Logarithmic Minimal Models LM ( 1 , p ) Paul
We consider the logarithmic minimal models LM(1, p) as ‘rational’ logarithmic conformal field theories with extended W symmetry. To make contact with the extended picture starting from the lattice, we identify 4p − 2 boundary conditions as specific limits of integrable boundary conditions of the underlying Yang-Baxter integrable lattice models. Specifically, we identify 2p integrable boundary c...
متن کاملBirman-Wenzl-Murakami Algebra and Logarithmic Superconformal Minimal Models
Two-dimensional exactly solvable loop models, built on the Temperley-Lieb algebra, have previously been introduced to study statistical systems with non-local degrees of freedom such as polymers and percolation. In the continuum scaling limit, these models describe logarithmic minimal Conformal Field Theories (CFTs). In this thesis, we introduce and study new two-dimensional exactly solvable su...
متن کامل