Speaker
Description
New method is proposed for the quantization of generic reducible gauge theories with linearly dependent generators where the standard quantization ansatz is not applicable since the corresponding De Witt-Faddeev-Popov determinant is degenerate. The method consists in nested factorizations of the gauge group volume for the determination of the correctly defined delta function of reduced gauge conditions, group integration measure and gauge-fixed contribution of ghosts. In comparison with existing generic quantization methods, the method under consideration leads to the functional integral with fewer number of ghosts. This method allows simple enough to carry out a quantization of the various antisymmetric field theories related to low-energy limit of superstring theory or with extended supergravity models. As an application of the method, the quantization of new recently constructed tensor-spinor theory in AdS space is fulfilled and corresponding effective action is derived in terms of the functional determinants of special Dirac-type operators.
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