Consistent equations for interacting massless fields of all spins in the first order in curvatures

Journal Article · Wed Feb 15 04:00:00 EST 1989 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(89)90261-3· OSTI ID:6319599

Vasiliev, M A

A new form of equations of motion is suggested for d = 4 massless fields of all spins interacting with gravity: equations of all massless fields, including the gravitational field itself, are described in terms of a free differential algebra constructed from 1-forms and 0-forms belonging both to the adjoint representation of the superalgebra of higher-spin and auxiliary fields proposed previously by E. S. Fradkin and the author. In this construction, 1-forms describe gauge massless and auxiliary fields, while 0-forms describe lower-spin fields and Weyl tensors corresponding to gauge 1-forms. The equations of motion are constructed explicitly in the first order in the Weyl 0-forms (and in all orders in 1-forms) that exceeds significantly the results of E. S. Fradkin and M. A. Vasiliev (Phys. Lett B 189 (1987),89; Nucl. Phys. B 291 (1987), 141) on the cubic higher-spin--gravitational interaction. The equations obtained are shown to remain consistent when all quantities take on their values in an arbitrary associative algebra. This enables us to describe simultaneously a class of extended-type theories with Yang--Mills gauge groups U(n) x U(n) corresponding to massless spin-1 fields (n is arbitrary). Various consistent truncations of these extended theories are also discussed including those with Yang--Mills gauge groups SO(n) x SO(n). copyright 1989 Academic Press, Inc.

• Research Organization: Lebedev Physical Institute, Academy of Sciences of the USSR, 117924, Leninsky Prospect 53, Moscow, USSR
• OSTI ID: 6319599
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 190:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC FIELD THEORY
ANGULAR MOMENTUM
AXIOMATIC FIELD THEORY
BASIC INTERACTIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAVITATIONAL INTERACTIONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SO GROUPS
SPIN
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TOPOLOGY
U GROUPS
UNIFIED-FIELD THEORIES
WEYL UNIFIED THEORY
YANG-MILLS THEORY