Geodesic
Constraints, gauge symmetries, and noncommutative gravity in two dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 64-79

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After a short introduction, we show how the canonical formalism is constructed in space–time noncommutative theories such that it allows defining the notion of first-class constraints and analyzing gauge symmetries. We use this formalism to noncommutatively deform the two-dimensional string gravity also known as the Witten black hole.
Keywords: noncommutative geometry, dilaton gravity, canonical brackets. 
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     author = {D. V. Vassilevich},
     title = {Constraints, gauge symmetries, and noncommutative gravity in two dimensions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {64--79},
     publisher = {mathdoc},
     volume = {148},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a5/}
}
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D. V. Vassilevich. Constraints, gauge symmetries, and noncommutative gravity in two dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 148 (2006) no. 1, pp. 64-79. http://geodesic.mathdoc.fr/item/TMF_2006_148_1_a5/