Gauge symmetry and W-algebra in higher derivative systems

Abstract

The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general {\it{less}} than the number of independent primary first class constraints, thereby distinguishing it from conventional first order systems. Different models have been considered as illustrative examples. In particular we show a direct connection between the gauge symmetry and the W-algebra for the rigid relativistic particle.

1+22 pages, 1 figure, LaTeX, v2; title changed, considerably expanded version with new results, to appear in JHEP

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• Gauge symmetry and Virasoro algebra in quantum charged rigid membrane -- a first order formalism
• BRST symmetry for Regge-Teitelboim based minisuperspace models
• Spinor and twistor formulations of massless particles with rigidity
• Finite BRST Mapping in Higher Derivative Models
• Treating Ostrogradski instability for Gallilean invariant Chern Simon's model via \mathcal{PT} symmetry
• A Non-Trivial Zero Length Limit of the Nambu-Goto String
• Modified Hamiltonian formalism for Regge Teitelboim Cosmology