Consistent equations for interacting gauge fields of all spins in 3+1 dimensions

doi:10.1016/0370-2693(90)91400-6

Physics Letters B

Volume 243, Issue 4, 5 July 1990, Pages 378-382

https://doi.org/10.1016/0370-2693(90)91400-6 Get rights and content

Abstract

Consistent equations of motion of interacting gauge fields of all spins in 3+1 dimensions are formulated in a closed form. These equations are explicitly general coordinate invariant, possess all necessary higher spin gauge symmetries and reduce to the usual equations of free massless fields of all spin $s=0, 12, 1, …, ∞$ at the linearized level. In the spin-2 sector, the proposed equations are equivalent to the Einstein equations with the cosmological term.

References (36)

C. Aragone et al.
Phys. Lett. B
(1979)
E.S. Fradkin et al.
Phys. Lett. B
(1987)
E.S. Fradkin et al.
Nucl. Phys. B
(1987)
A.K.H. Bengtsson et al.
Nucl. Phys. B
(1983)
A.K.H. Bengtsson et al.
Nucl. Phys. B
(1983)
F.A. Berends et al.
Z. Phys. C
(1984)
F.A. Berends et al.
Nucl. Phys. B
(1985)
F.A. Berends et al.
Nucl. Phys. B
(1986)
A.K.H. Bengtsson et al.
Class. Quantum Grav.
(1986)
S. Ouvry et al.
Phys. Lett. B
(1986)
A.K.H. Bengtsson et al.
Class. Quantum Grav.
(1987)
A.K.H. Bengtsson
Class. Quantum Grav.
(1988)
M.P. Blencowe
Class. Quantum Grav.
(1989)
E.S. Fradkin et al.
Mod. Phys. Lett. A
(1989)

E. Bergshoeff, M.P. Blencowe and K.S. Stelle, preprint Imperial...

E.S. Fradkin et al.

Ann. Phys. (NY)

(1987)

M.A. Vasiliev

Fortschr. Phys.

(1988)

M.A. Vasiliev

Ann. Phys. (NY)

(1989)

M.A. Vasiliev

Phys. Lett. B

(1990)

C. Fronsdal

Phys. Rev. D

(1978)

C. Fronsdal

F.A. Berends et al.

J. Phys. A

(1980)

Cited by (755)

Generators of the Poincaré Group for arbitrary tensors and spinor-tensors
2024, Annals of Physics
In this work, we systematically derive explicit expressions for the Poincaré Group generators on arbitrary-rank tensors and spinor-tensors in $D = 3 + 1$ and $D = 2 + 1$ spacetimes, thus generalizing previous works in the literature for the groups $I S O (3, 1)$ and $I S O (2, 1)$ . From the Casimir eigenvalue equations, we demonstrate in a model-independent way the Fierz-Pauli constraints for massive particles for spins $s = 5 / 2$ , 3, and 4 in $D = 3 + 1$ and helicities $α = 5 / 2$ , 3, and 4 in $D = 2 + 1$ dimensions. We also comment on the demonstration of the Fierz-Pauli constraints for the general case of arbitrary spin (helicity).
Quantum flux operators in higher spin theories
2024, Physical Review D
Holography of a single free matrix
2024, arXiv
Higher-spin gauge theories in three spacetime dimensions
2024, arXiv
Spacetime geometry from Dirac spinor theory
2024, Physical Review D
W (0,b) algebra and the dual theory of 3D asymptotically flat higher spin gravity
2024, Physical Review D

View all citing articles on Scopus

View full text

Consistent equations for interacting gauge fields of all spins in 3+1 dimensions

Abstract

Phys. Lett. B

Phys. Lett. B

Nucl. Phys. B

Nucl. Phys. B

Nucl. Phys. B

Z. Phys. C

Nucl. Phys. B

Nucl. Phys. B

Class. Quantum Grav.

Phys. Lett. B

Class. Quantum Grav.

Class. Quantum Grav.

Class. Quantum Grav.

Mod. Phys. Lett. A

Ann. Phys. (NY)

Fortschr. Phys.

Ann. Phys. (NY)

Phys. Lett. B

Phys. Rev. D

J. Phys. A