The role of complex structures in \(w\)-symmetry.

DOI10.1016/S0550-3213(00)00129-2zbMath1056.81514arXivhep-th/0003027MaRDI QIDQ5934842

G. Bandelloni, Serge Lazzarini

Publication date: 14 May 2001

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0003027

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Anomalies in quantum field theory (81T50) Applications of deformations of analytic structures to the sciences (32G81) Canonical transformations in symplectic and contact geometry (53D22)

Related Items (5)

W ∞ -algebras in n complex dimensions and Kodaira–Spencer deformations: A symplectic approach ⋮ Noncommutative coordinates on Riemann surfaces ⋮ Primary currents and Riemannian geometry in W algebras ⋮ INDUCED QUANTUM GRAVITY ON A RIEMANN SURFACE ⋮ The geometry of \(W_3\) algebra: a twofold way for the rebirth of a symmetry

Cites Work

• Unnamed Item
• Infinite conformal symmetry in two-dimensional quantum field theory
• \(\mathcal W\)-geometry
• Flat complex vector bundles, the Beltrami differential and \(W\)-algebras
• Higher-dimensional uniformisation and \(W\)-geometry
• A geometrical approach to super \(W\)-induced gravities in two dimensions
• Covariant \(W\) gravity and its moduli space from gauge theory
• SINGULAR CONTRACTIONS OF W-ALGEBRAS
• W-algebras from canonical transformations
• $\mathcal W$-GRAVITY ANOMALIES WITH GHOST LOOPS AND BACKGROUND CHARGES
• ALGEBRAIC CHARACTERIZATION OF ANOMALIES IN CHIRAL ${\mathcal W}_3$ GRAVITY
• Light cone W _n geometry and its symmetries and projective field theory
• Diffeomorphism cohomology in Beltrami parametrization
• ZERO CURVATURE CONDITION AND 2D GRAVITY THEORIES
• CONFORMALLY COVARIANT OPERATORS ON RIEMANN SURFACES (WITH APPLICATIONS TO CONFORMAL AND INTEGRABLE MODELS)
• W INFINITY AND STRING THEORY
• Diffeomorphism cohomology in Beltrami parametrization. II. The 1-forms
• 𝒲-gauge structures and their anomalies: An algebraic approach
• Primary currents and Riemannian geometry in W algebras

This page was built for publication: The role of complex structures in \(w\)-symmetry.