Logarithmic Yangians in WZW models

Abstract

A new action of the Yangians in the WZW models is displayed. Its structure is generic and level independent. This Yangian is the natural extension at the conformal point of the one unravelled in massive theories with current algebras. Expectingly, this new symmetry of WZW models will lead to a deeper understanding of the integrable structure of conformal field theories and their deformations.

8 pages, TeX, harvmac, 2 .eps figures

Cited by in corpus (15)

• Bits and Pieces in Logarithmic Conformal Field Theory
• Introduction to Yangian symmetry in integrable field theory
• Singular Vectors in Logarithmic Conformal Field Theories
• Operator Product Expansion in Logarithmic Conformal Field Theory
• Cooper pairs and exclusion statistics from coupled free-fermion chains
• Disordered Systems and Logarithmic Conformal Field Theory
• Yangians and their applications
• Yangian in the Twistor String
• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Yangian actions on higher level irreducible integrable modules of affine gl(N)
• From Twisted Quantum Loop Algebras to Twisted Yangians
• Yangian Superalgebras in Conformal Field Theory
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Algebra of non-local charges in the O(N) WZNW model at and beyond criticality
• On the Integrable Structure of the SU(2) Wess-Zumino-Novikov-Witten Model