Generalized entanglement entropies in two-dimensional conformal field theory

Relative entropies in conformal field theory.

Relative entropy is a measure of distinguishability for quantum states, and it plays a central role in quantum information theory. The family of Renyi entropies generalizes to Renyi relative entropies that include, as special cases, most entropy measures used in quantum information theory. We construct a Euclidean path-integral approach to Renyi relative entropies in conformal field theory, the...

Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory

Turbulent Two Dimensional Magnetohydrodynamics and Conformal Field Theory

We show that an infinite number of non-unitary minimal models may describe two dimensional turbulent magnetohydrodynamics (MHD), both in the presence and absence of the Alf'ven effect. We argue that the existence of a critical dynamical index results in the Alf'ven effect or equivelently the equipartition of energy. We show that there are an infinite number of conserved quantities in 2D − M HD ...

Modave Lectures Aspects of two-dimensional Conformal Field Theory

These notes constitute the write-up of a four hour lecture given at the First Modave Summer School on Mathematical Physics, held in Modave, 19-25 june 2005. It is intended to introduce basic tools of conformal field theory in two dimensions using as guideline the conformal Ward identities. Comments are welcome! E-mail : [email protected], ”Chercheur FRIA”

Turbulent Two Dimensional Mangetohydrodynamics and Conformal Field Theory 1 -introduction

We generalise Polyakov's method of describing two dimensional turbulence using conformal eld theory to the case of two dimensional magnetohydrodynamics. We show that an innnite number of non-unitary minimal models may describe the two dimensional magnetohydrodynamics, both when the Alf'ven eeect is present and in its absence. We argue that the existence of a critical dynamical index results in ...