Virasoro algebra for particles with higher derivative interactions
نویسندگان
چکیده
منابع مشابه
Virasoro Algebra for Particles with Higher Derivative Interactions
In this paper we show that the worldline reparametrization for particles with higher derivative interactions appears as a higher dimensional symmetry, which is generated by the truncated Virasoro algebra. We also argue that for generic nonlocal particle theories the fields on the worldline may be promoted to those living on a two dimensional worldsheet, and the reparametrization symmetry become...
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In this paper we show that the worldline reparametrization for particles with higher derivative interactions appears as a higher dimensional symmetry on the phase space. In the limit of infinite order time dervatives, the fields on the worldline get naturally promoted to those living on a two dimensional space, and the reparametrization symmetry is locally the same as the conformal symmetry.
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0 −→ c −→ g1 φ1 −→g −→ 0 such that c ⊆ Z(g1), the center of g̃. A morphism of central extensions is a Lie algebra homomorphism ψ : g1 → g2 such that φ2ψ = φ1. A universal central extension is a central extension g̃ such that there is a unique morphism from g̃ to every other central extension of g. The Schur multiplier is the kernel of the universal central extension of g. It classifies the project...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2003
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(03)00278-8