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 lambda > 0 and lambda < 0 be discussed in a unified way, but also the double solutions of this model, i.e. the de Sitter (dS(2)) and anti-de Sitter (AdS(2)) fuzzy spheres, can be derived simultaneously. Hence the results of Cacciatori et al. are included as a special case.
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Department of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai,400005, IndiaDepartment of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai,400005, India
Moitra, Upamanyu
Sake, Sunil Kumar
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Department of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai,400005, IndiaDepartment of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai,400005, India
Sake, Sunil Kumar
Trivedi, Sandip P.
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Department of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai,400005, IndiaDepartment of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai,400005, India