Abstract

We establish a double noncommutative Jackiw–Teitelboim (JT) gravitymodel in 1+1 dimensions, which extends the results of Cacciatori etal. (Class. Quant. Grav. 19 (2002) 4029) by means of the doublecomplex function theory. Not only can the two cases of the cosmologicalconstant 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 bederived simultaneously. Hence the results of Cacciatori et al. areincluded as a special case.

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