Super-Galilean conformal algebra in AdS/CFT
- Okayama Institute for Quantum Physics, 1-9-1 Kyoyama, Okayama 700-0015 (Japan)
Galilean conformal algebra (GCA) is an Inoenue-Wigner (IW) contraction of a conformal algebra, while Newton-Hooke string algebra is an IW contraction of an Anti-de Sitter (AdS) algebra, which is the isometry of an AdS space. It is shown that the GCA is a boundary realization of the Newton-Hooke string algebra in the bulk AdS. The string lies along the direction transverse to the boundary, and the worldsheet is AdS{sub 2}. The one-dimensional conformal symmetry so(2,1) and rotational symmetry so(d) contained in the GCA are realized as the symmetry on the AdS{sub 2} string worldsheet and rotational symmetry in the space transverse to the AdS{sub 2} in AdS{sub d+2}, respectively. It follows from this correspondence that 32 supersymmetric GCAs can be derived as IW contractions of superconformal algebras, psu(2,2|4), osp(8|4), and osp(8*|4). We also derive less supersymmetric GCAs from su(2,2|2), osp(4|4), osp(2|4), and osp(8*|2)
- OSTI ID:
- 21335942
- Journal Information:
- Journal of Mathematical Physics, Vol. 51, Issue 4; Other Information: DOI: 10.1063/1.3321531; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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