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| A special fermionic generalization of lineal gravity |
| Duplij S. A., Soroka D. V., Soroka V. A. |
| Theory Group, Nuclear Physics Laboratory, Kharkov National University, Svoboda Sq. 4, 61077 Kharkov, Ukraine; Kharkov Institute of Physics and Technology, Akademicheskaya St. 1, 61108 Kharkov, Ukraine |
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Abstract The central extension of the (1+1)-dimensional Poincaré algebra by including fermionic charges which obey not supersymmetric algebra, but a special graded algebra containing in the right hand side a central element only is obtained. The corresponding theory being the fermionic extension of the lineal gravity is proposed. We considered the algebra of generators, the field transformations and found Lagrangian and equation of motion, then we derived the Casimir operator and obtained the constant black hole mass.
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Received: 21 August 2005
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