\(W\)-symmetry and the rigid particle.

DOI10.1016/0550-3213(94)00507-BzbMath1052.81614arXivhep-th/9408019OpenAlexW2014019558MaRDI QIDQ1571488

Jaume Roca, Eduardo Ramos

Publication date: 10 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9408019

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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Cites Work

• A short proof of a Kupershmidt-Wilson theorem
• Classical \(N =1\) \(W\)-superalgebras from Hamiltonian reduction
• Covariant \(W\) gravity and its moduli space from gauge theory
• Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
• A Hamiltonian approach to Lagrangian Noether transformations