News from the Virasoro algebra

Abstract

It is shown that the local quantum field theory of the chiral energy- momentum tensor with central charge $c=1$ coincides with the gauge invariant subtheory of the chiral $SU(2)$ current algebra at level 1, where the gauge group is the global $SU(2)$ symmetry. At higher level, the same scheme gives rise to $W$-algebra extensions of the Virasoro algebra.

4 pages, Latex, DESY 93-115

Cited by in corpus (16)

• Topological Sectors and a Dichotomy in Conformal Field Theory
• In and around Abelian anyon models
• Affine orbifolds and rational conformal field theory extensions of W_{1+infinity}
• From vertex operator algebras to conformal nets and back
• Thermal States in Conformal QFT. II
• Generalized Orbifold Construction for Conformal Nets
• Classification of Local Conformal Nets. Case c < 1
• Conformal covariance and related properties of chiral QFT
• Motivations and Physical Aims of Algebraic QFT
• Infinite index extensions of local nets and defects
• Compact Hypergroups from Discrete Subfactors
• Causality and dispersion relations and the role of the S-matrix in the ongoing research
• Local equivalence of representations of Diff${}^{+}(S^1)$ corresponding to different highest weights
• Quantum Operations on Conformal Nets
• Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models
• Fusion rules for the continuum sectors of the Virasoro algebra with c=1