Gribov ambiguity in asymptotically AdS three-dimensional gravity

Journal Article · Tue Mar 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.064023· OSTI ID:21537543

Anabalon, Andres ^[1]; Canfora, Fabrizio ^[2]; Giacomini, Alex; Oliva, Julio ^[3]

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1. Departamento de Ciencias, Facultad de Artes Liberales, Facultad de Ingenieria y Ciencias, Universidad Adolfo Ibanez, Vina Del Mar (Chile)
2. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
3. Instituto de Fisica, Facultad de Ciencias, Universidad Austral de Chile, Valdivia (Chile)

In this paper the zero modes of the de Donder gauge Faddeev-Popov operator for three-dimensional gravity with negative cosmological constant are analyzed. It is found that the AdS{sub 3} vacuum produces (infinitely many) normalizable smooth zero modes of the Faddeev-Popov operator. On the other hand, it is found that the Banados-Teitelboim-Zanelli black hole (including the zero mass black hole) does not generate zero modes. This differs from the usual Gribov problem in QCD where, close to the maximally symmetric vacuum, the Faddeev-Popov determinant is positive definite while 'far enough' from the vacuum it can vanish. This suggests that the zero mass Banados-Teitelboim-Zanelli black hole could be a suitable ground state of three-dimensional gravity with negative cosmological constant. Because of the kinematic origin of this result, it also applies for other covariant gravity theories in three dimensions with AdS{sub 3} as maximally symmetric solution, such as new massive gravity and topologically massive gravity. The relevance of these results for supersymmetry breaking is pointed out.

• OSTI ID: 21537543
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
BLACK HOLES
COSMOLOGICAL CONSTANT
EQUATIONS
FADDEEV EQUATIONS
FIELD THEORIES
GRAVITATION
MASS
MATHEMATICAL SPACE
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SPACE
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS