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2014

Hypergravity in AdS_3

Zinoviev, Yu. M.

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Thirty years ago Aragone and Deser showed that in three dimensions there exists a consistent model describing interaction for massless spin-2 and spin-5/2 fields.

It was crucial that these fields lived in a flat Minkowski space and as a result it was not possible to deform such model into anti-de Sitter space.
In this short note we show that such deformation becomes possible provided one compliment to the model with massless spin-4 field.
Resulting theory can be considered as a Chern-Simons one with a well-known supergroup OSp(1,4).

Hypergravity in AdS_3 · Around

Built on

C. Aragone, S. Deser, Hypersymmetry in D = 3 D=3 of coupled gravity-massless spin-5/2 system, Class. Quant. Grav. 1
1984
Earlier work this paper cites.
A. Achucarro, P. K. Townsend, A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories, Phys. Lett. B180
1986
Earlier work this paper cites.
E. Witten, (2+1)-dimmensional Gravity as an Exactly Soluble System, Nucl. Phys. B311
1988
Earlier work this paper cites.
M. P. Blencowe, A consistent interacting massless higher-spin field theory in D = 2 + 1 D=2+1 , Class. Quant. Grav. 6
1989
Earlier work this paper cites.

Similar

M. A. Vasiliev, Higher Spin Algebras and Quantization on the Sphere and Hyperboloid, Int. J. Mod. Phys. A6
1991
Cited alongside, same era.
S. Prokushkin, M. Vasiliev, Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time, Nucl.Phys. B545
1999
Cited alongside, same era.
A. Campoleoni, S. Fredenhagen, S. Pfenninger, S. Theisen, Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields, JHEP 11
Original
2010
Cited alongside, same era.

Then

Bin Chen, Jiang Long, Yi nan Wang, Black holes in Truncated Higher Spin AdS 3 Gravity, JHEP 1212
Original
2012
Later among the works it cites.
Marc Henneaux, Gustavo Lucena Gomez, Jaesung Park, Soo-Jong Rey, Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity, JHEP 1206
Original
2012
Later among the works it cites.
H. S. Tan, Exploring Three-dimensional Higher-Spin Supergravity based on s l ( N | N − 1 ) sl(N|N-1) Chern-Simons theories, JHEP 1211
Original
2012
Later among the works it cites.

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