Three-dimensional Spin-3 Theories Based on General Kinematical Algebras - INSPIRE

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Three-dimensional Spin-3 Theories Based on General Kinematical Algebras

Eric Bergshoeff
(
- U. Groningen, VSI
)
,
Daniel Grumiller
(
- Vienna, Tech. U.
)
,
Stefan Prohazka
(
- Vienna, Tech. U.
)
,
Jan Rosseel
(
- U. Bern, AEC and
- Vienna, Tech. U.
)

Dec 7, 2016

50 pages

Published in:

JHEP 01 (2017) 114

Published: Jan 25, 2017

e-Print:

1612.02277 [hep-th]

DOI:

10.1007/JHEP01(2017)114

View in:

reference search51 citations

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Abstract: (Springer)

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible Inönü-Wigner contraction procedures of the kinematical algebra of spin-3 theory in three dimensional (anti-) de Sitter space-time. We demonstrate how to construct associated actions of Chern-Simons type, directly in the ultra-relativistic case and by suitable algebraic extensions in the non-relativistic case. We show how to give these kinematical algebras an infinite-dimensional lift by imposing suitable boundary conditions in a theory we call “Carroll Gravity”, whose asymptotic symmetry algebra turns out to be an infinite-dimensional extension of the Carroll algebra.

Note:

32+12 pages, 2 figures; v2: 1 footnote, 4 refs; v3: 1 ref corrected, 1 ref updated

Higher Spin Gravity
Higher Spin Symmetry
Chern-Simons Theories
SpaceTime Symmetries
dimension: 3
symmetry: algebra
space-time: de Sitter
spin: high
kinematics
boundary condition

References(96)

Figures(0)

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