Area Preserving Diffeomorphisms and Higher Spin Algebra
Jan 10, 1989
18 pages
Published in:
- Commun.Math.Phys. 128 (1990) 213
DOI:
Report number:
- IMPERIAL/TH/88-89/9
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Abstract: (Springer)
We show that there exists a one-parameter family of infinite-dimensional algebras that includes the bosonicd=3 Fradkin-Vasiliev higher-spin algebra and the non-Euclidean version of the algebra of area-preserving diffeomorphisms of the two-sphereS2 as two distinct members. The non-Euclidean version of the area preserving algebra corresponds to the algebra of area-preserving diffeomorphisms of the hyperbolic spaceS1,1, and can be rewritten as. As an application of our results, we formulate a newd=2+1 massless higher-spin field theory as the gauge theory of the area-preserving diffeomorphisms ofS1,1.- spin: high
- high: spin
- algebra: diffeomorphism
- gauge field theory
- dimension: 3
- supersymmetry
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