Conformal linear gravity in de Sitter space

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3321581· OSTI ID:21335930

Takook, M V ^[1]; Tanhayi, M R ^[2]; Fatemi, S ^[3]

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1. Department of Physics, Razi University, Kermanshah (Iran, Islamic Republic of)
2. Department of Physics, Islamic Azad University, Central Tehran Branch, Tehran (Iran, Islamic Republic of)
3. Science and Research Branch, Islamic Azad University, Tehran (Iran, Islamic Republic of)

It has been shown that the theory of linear conformal quantum gravity must include a tensor field of rank-3 and mixed symmetry [Binegar et al., Phys. Rev. D 27, 2249 (1983)]. In this paper, we obtain the corresponding field equation in de Sitter space. Then, in order to relate this field with the symmetric tensor field of rank-2, K{sub {alpha}}{sub {beta}} related to graviton, we will define homomorphisms between them. Our main result is that if one insists K{sub {alpha}}{sub {beta}} to be a unitary irreducible representation of de Sitter and conformal groups, it must satisfy a field equation of order of 6, which is obtained.

• OSTI ID: 21335930
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 3; Other Information: DOI: 10.1063/1.3321581; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL GROUPS
CONFORMAL INVARIANCE
DE SITTER GROUP
DE SITTER SPACE
FIELD EQUATIONS
GRAVITATION
GRAVITONS
GROUP THEORY
IRREDUCIBLE REPRESENTATIONS
QUANTUM GRAVITY
SYMMETRY
TENSOR FIELDS
TENSORS