Multi-dimensional Diffeomorphism and Current Algebras from Virasoro and Kac-Moody Currents

Abstract

The recently constructed Fock representations of $N$-dimensional diffeomorphism and current algebras are reformulated in terms of one-dimensional currents, satisfying Virasoro and affine Kac-Moody algebras.

Theorem 3 corrected

References in corpus (3)

• Principal Vertex Operator Representations for Toroidal Lie Algebras
• Extensions of diffeomorphism and current algebras
• Quantum physics as the projective representation theory of Noether symmetries

Cited by in corpus (7)

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• Koszul-Tate Cohomology as Lowest-Energy Modules of Non-Centrally Extended Diffeomorphism Algebras
• Manifestly covariant canonical quantization of gravity and diffeomorphism anomalies in four dimensions
• Symmetries of Everything
• Three Principles for Quantum Gravity
• Manifestly covariant canonical quantization III: Gravity, locality, and diffeomorphism anomalies in four dimensions
• Resolution of the problem of time in quantum gravity