Yangian symmetry in conformal field theory

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...

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...

Spinon bases, Yangian symmetry and fermionic representations of Virasoro characters in conformal field theory

We study the description of the SU(2), level k = 1, Wess-Zumino-Witten conformal field theory in terms of the modes of the spin-1/2 affine primary field ff'~. These are shown to satisfy generalized 'canonical commutation relations', which we use to construct a basis of Hilbert space in terms of representations of the Yangian Y(sl2). Using this description, we explicitly derive so-called 'fermio...

Introduction to Yangian symmetry in integrable field theory

Three introductory lectures: on Yangians and their representations; on Yangian symmetry in 1+1D integrable (bulk) field theory; and on the effect of a boundary on this symmetry.

Twisted Conformal Symmetry in Noncommutative Two-Dimensional Quantum Field Theory