Gauge symmetry and W-algebra in higher derivative systems

Details Gauge symmetry and W-algebra in higher derivative systems Gauge symmetry and W-algebra in higher derivative systems

2010-12-14

arxiv.org/abs/1012.2969v2

JHEP08(2011)085

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/JHEP08(2011)085

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.

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