The logarithmic potential operator

Global Dynamics in the Singular Logarithmic Potential

We present an analytical description of the motion in the singular logarithmic potential of the form Φ = ln √ x1/b 2 + x2, a potential which plays an important role in the modeling of triaxial systems (like elliptical galaxies) or bars in the centers of galaxy disks. In order to obtain information about the motion near the singularity, we resort to McGehee -type transformations and regularize t...

Weak modules and logarithmic intertwining operators for vertex operator algebras

We consider a class of weak modules for vertex operator algebras that we call logarithmic modules. We also construct nontrivial examples of intertwining operators between certain logarithmic modules for the Virasoro vertex operator algebra. At the end we speculate about some possible logarithmic intertwiners at the level c = 0. Introduction This work is an attempt to explain an algebraic reform...

Operator Product Expansion and Zero Mode Structure in logarithmic CFT

The generic structure of 1-, 2and 3-point functions of fields residing in indecomposable representations of arbitrary rank are given. These in turn determine the structure of the operator product expansion in logarithmic conformal field theory. The crucial role of zero modes is discussed in some detail.

Operator Product Expansion in Logarithmic Conformal Field Theory

In logarithmic conformal field theory, primary fields come together with logarithmic partner fields on which the stress-energy tensor acts non-diagonally. Exploiting this fact and global conformal invariance of twoand three-point functions, operator product expansions of logarithmic operators in arbitrary rank logarithmic conformal field theory are investigated. Since the precise relationship b...

Large deviation principle in logarithmic potential theory