Double Noncommutative Jackiw--Teitelboim Gravity Model in 1+1 Dimensions

Chin. Phys. Lett.

2004, Vol. 21

Issue (10): 1890-1892 DOI:

Original Articles

Double Noncommutative Jackiw--Teitelboim Gravity Model in 1+1 Dimensions

WU Ya-Bo¹;SHAO Ying²;GUI Yuan-Xing²

¹Department of Physics, Liaoning Normal University, Dalian 116029 ²Department of Physics, Dalian University of Technology, Dalian 116023

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WU Ya-Bo, SHAO Ying, GUI Yuan-Xing 2004 Chin. Phys. Lett. 21 1890-1892

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Abstract We establish a double noncommutative Jackiw-Teitelboim (JT) gravity model in 1+1 dimensions, which extends the results of Cacciatori et al. (Class. Quant. Grav. 19(2002)4029) by means of the double complex function theory. Not only can the two cases of the cosmological constant λ>0 and λ<0 be discussed in a unified way, but also the double solutions of this model, i.e. the de Sitter (dS₂) and anti-de Sitter (AdS₂) fuzzy spheres, can be derived simultaneously. Hence the results of Cacciatori et al. are included as a special case.

Keywords: 11.10.Nx 04.20.Fy 04.20.Jb

Published: 01 October 2004

PACS:	11.10.Nx	(Noncommutative field theory)
	04.20.Fy	(Canonical formalism, Lagrangians, and variational principles)
	04.20.Jb	(Exact solutions)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2004/V21/I10/01890

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