Symmetry decomposition of relative entropies in 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...

Yangian symmetry in conformal field theory

We show that the SU(N), level-1 Wess-Zumino-Witten conformal field theory provides a natural realization of the Yangian Y(sl~) for N _> 3. We also construct a hamiltonian/-/2 which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane et al. [ 1 ], provide the field theory extension of the algebraic structure of the SU(N) Haldane-Shastry spin...

Yangian Symmetry in Conformal Field Theory

We show that the SU(N), level-1 Wess-Zumino-Witten conformal field theory provides a natural realization of the Yangian Y (slN) for N ≥ 3. We also construct a hamiltonian H2 which commutes with the Yangian generators and study its spectrum. Our results, which generalize work by Haldane et al. [1], provide the field theory extension of the algebraic structure of the SU(N) Haldane-Shastry spin ch...

Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory

Gauge Symmetry in Background Charge Conformal Field Theory *

We present a mechanism to construct four-dimensional charged massless Ramond states using the discrete states of a fivebrane Liouville internal conformal field theory. This conformal field theory has background charge, and admits an inner product which allows positive norm states. A connection among supergravity soliton solutions, Liouville conformal field theory, non-critical string theory and...