Equations of Motion of Interacting Massless Fields of All Spins as a Free Differential Algebra

Vasiliev, Mikhail A.

doi:10.1016/0370-2693(88)91179-3

Equations of Motion of Interacting Massless Fields of All Spins as a Free Differential Algebra

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

1988

7 pages

Published in:

Phys.Lett.B 209 (1988) 491-497

Published: 1988

DOI:

10.1016/0370-2693(88)91179-3

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Abstract: (Elsevier)

It is argued that the equations of motion of interacting massless fields of all spins s =0,1,…,∞ can naturally be formulated in terms of a free differential algebra (FDA) constructed from one-forms and zero-forms that belong both to the adjoint representation of the infinite-dimensional superalgebra of higher spins and auxiliary fields proposed previously. This FDA is found explicitly in the first non-trivial order in the zero-forms. Various properties of the proposed FDA are discussed including the ways for incorporating internal (Yang-Mills) gauge symmetries via associative algebras.

FIELD THEORY: MASSLESS
MASSLESS: FIELD THEORY
SPIN: HIGHER-ORDER
HIGHER-ORDER: SPIN
GRAVITATION
Einstein equation
SPONTANEOUS SYMMETRY BREAKING
commutation relations

References(44)

Figures(0)

[1]

Particles, sources and fields

J. Schwinger

[2]

Massless Fields with Integer Spin

Christian Fronsdal
(
- UCLA
)

- Phys.Rev.D 18 (1978) 3624
•
DOI:
- 10.1103/PhysRevD.18.3624

[3]

Massless Fields with Half Integral Spin

J. Fang
(
- UCLA
)
,
C. Fronsdal
(
- UCLA
)

- Phys.Rev.D 18 (1978) 3630
•
DOI:
- 10.1103/PhysRevD.18.3630

[4]

ON SPIN 5/2 GAUGE FIELDS

- Phys.Lett.B 83 (1979) 188,
- Phys.Lett.B 84 (1979) 529 (erratum)
•
DOI:
- 10.1016/0370-2693(79)91257-7

[4]

On Field Theory for Massive and Massless Spin 5/2 Particles

- Nucl.Phys.B 154 (1979) 261-282
•
DOI:
- 10.1016/0550-3213(79)90514-5

[5]

Massless Field Supermultiplets With Arbitrary Spin

Thomas Curtright
(
- Chicago U., EFI
)

- Phys.Lett.B 85 (1979) 219-224
•
DOI:
- 10.1016/0370-2693(79)90583-5

[6]

Systematics of Higher Spin Gauge Fields

- Phys.Rev.D 21 (1980) 358,
- In *Stony Brook 1979, Proceedings, Supergravity*, 263-268
•
DOI:
- 10.1103/PhysRevD.21.358

[7]

Higher Spin Vierbein Gauge Fermions and Hypergravities

C. Aragone
(
- Brandeis U.
)
,
Stanley Deser
(
- Brandeis U.
)

- Nucl.Phys.B 170 (1980) 329-352
•
DOI:
- 10.1016/0550-3213(80)90153-4

[8]

M.A. Vasiliev

- Sov.J.Nucl.Phys. 32 (1980) 855

[8]

'GAUGE' FORM OF DESCRIPTION OF MASSLESS FIELDS WITH ARBITRARY SPIN. (IN RUSSIAN)

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Yad.Fiz. 32 (1980) 855-861,
- Sov.J.Nucl.Phys. 32 (1980) 439

[9]

Massless Second Order Tetradic Spin 3 Fields and Higher Helicity Bosons

C. Aragone
(
- Simon Bolivar U.
)
,
H. La Roche
(
- Simon Bolivar U.
)

- Nuovo Cim.A 72 (1982) 149
•
DOI:
- 10.1007/BF02902412

[10]

T. Damour
,
S. Deser

- Ann.Inst.Henri Poincare 47 (1987) 277

[11]

preprints

R.A. Arnold
,
N.A. Doughty

[12]

Singletons and Massless, Integral Spin Fields on de Sitter Space (Elementary Particles in a Curved Space. 7.

Christian Fronsdal
(
- UCLA
)

- Phys.Rev.D 20 (1979) 848-856,
- Phys.Rev.D20 (1979) 848-856 and Calif Univ - UCLA-78-TEP-23 (78,REC.NOV) 33p
•
DOI:
- 10.1103/PhysRevD.20.848

[13]

Massless, Half Integer Spin Fields in De Sitter Space

J. Fang
(
- UCLA
)
,
C. Fronsdal
(
- UCLA
)

- Phys.Rev.D 22 (1980) 1361
•
DOI:
- 10.1103/PhysRevD.22.1361

[14]

Free Massless Fields of Arbitrary Spin in the de Sitter Space and Initial Data for a Higher Spin Superalgebra

M.A. Vasiliev
(
- Lebedev Inst.
)

- Fortsch.Phys. 35 (1987) 11, 741-770,
- Yad.Fiz. 45 (1987) 1784-1797,
- Moscow Inst. Phys. Acad. Sci. - 86-233 (86,REC.JAN.87) 59p,
- FORTSCHR. PHYS. 35 (1987) 741-770 AND MOSCOW INST. PHYS. ACAD. SCI. - 86-233 (86,REC.JAN.87) 59p,
- YAD. FIZ. 45 (1987) 1784-1797 AND MOSCOW INST. PHYS. ACAD. SCI. - 86-233 (86,REC.JAN.87) 59p
•
DOI:
- 10.1002/prop.2190351103

[15]

Free Massless Bosonic Fields of Arbitrary Spin in $d$ -dimensional De Sitter Space

V.E. Lopatin
(
- Lebedev Inst.
)
,
Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Mod.Phys.Lett.A 3 (1988) 257
•
DOI:
- 10.1142/S0217732388000313

[16]

Free Massless Fermionic Fields of Arbitrary Spin in $d$ -dimensional De Sitter Space

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- Nucl.Phys.B 301 (1988) 26-68
•
DOI:
- 10.1016/0550-3213(88)90161-7

[17]

Cubic Interaction Terms for Arbitrary Spin

Anders K.H. Bengtsson
(
- Goteborg, ITP
)
,
Ingemar Bengtsson
(
- Goteborg, ITP
)
,
Lars Brink
(
- Goteborg, ITP
)

- Nucl.Phys.B 227 (1983) 31-40
•
DOI:
- 10.1016/0550-3213(83)90140-2

[17]

Cubic Interaction Terms for Arbitrarily Extended Supermultiplets

Anders K.H. Bengtsson
(
- Goteborg, ITP
)
,
Ingemar Bengtsson
(
- Goteborg, ITP
)
,
Lars Brink
(
- Goteborg, ITP
)

- Nucl.Phys.B 227 (1983) 41-49
•
DOI:
- 10.1016/0550-3213(83)90141-4

[18]

ON SPIN THREE SELFINTERACTIONS

- Z.Phys.C 24 (1984) 247-254,
- Z. Phys. C24 ( 1984) 247-254
•
DOI:
- 10.1007/BF01410362

[18]

On the Theoretical Problems in Constructing Interactions Involving Higher Spin Massless Particles

- Nucl.Phys.B 260 (1985) 295-322
•
DOI:
- 10.1016/0550-3213(85)90074-4

[18]

Explicit construction of conserved currents for massless fields of arbitrary spin

- Nucl.Phys.B 271 (1986) 429-441,
- Nucl.Phys.B 271 (1986) 429-441
•
DOI:
- 10.1016/S0550-3213(86)80019-0

[19]

MASSLESS HIGHER SPIN FIELDS REVISITED

- Class.Quant.Grav. 3 (1986) 927-936,
- Class. Quantum Grav. 3 ( 1986) 927-936 and London Queen Mary Coll. - QMC-86-16 (86,REC.APR.) 13p
•
DOI:
- 10.1088/0264-9381/3/5/022

[19]

Higher 'Spins' in One and Two Space-time Dimensions

- Phys.Lett.B 174 (1986) 294-300
•
DOI:
- 10.1016/0370-2693(86)91102-0

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