Affine extension of Galilean conformal algebra in 2+1 dimensions

Journal Article · Sat May 15 04:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3371191· OSTI ID:21335960

Hosseiny, Ali; Rouhani, Shahin ^[1]

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1. Department of Physics, Sharif University of Technology, Tehran 11165-9161 (Iran, Islamic Republic of)

We show that a class of nonrelativistic algebras including noncentrally extended Schroedinger algebra and Galilean conformal algebra (GCA) has an affine extension in 2+1 hitherto unknown. This extension arises out of the conformal symmetries of the two dimensional complex plane. We suggest that this affine form may be the symmetry that explains the relaxation of some classical phenomena toward their critical point. This affine algebra admits a central extension and maybe realized in the bulk. The bulk realization suggests that this algebra may be derived by looking at the asymptotic symmetry of an Anti-de Sitter (AdS) theory. This suggests that AdS/CFT (conformal field theory) duality may take on a special form in four dimensions.

• OSTI ID: 21335960
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANTI DE SITTER GROUP
ANTI DE SITTER SPACE
ASYMPTOTIC SOLUTIONS
CONFORMAL INVARIANCE
DUALITY
QUANTUM FIELD THEORY
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS