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On an (Interacting) Field Theories With Tensorial Momentum

Ruben Mkrtchyan
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Abstract

The construction of field theories with space-time symmetries, including tensorial charges (i.e. of M-theory type), initiated in hep-th/9907011, is extended to include interaction. For SO(2,2) gravity in a tensorial space-time, with space-time symmetry consisting of Lorentz generators and "translations", represented by second-rank antisymmetric tensor, the cubic interaction terms are constructed by requirement of maintaining the gauge invariance property of theory. This interaction is essentially unique.

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Ruben Mkrtchyan. 2002-09-20. On an (Interacting) Field Theories With Tensorial Momentum. https://arxiv.org/abs/hep-th/0209175

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