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REF.: J Phys Math 2013, 5:1
Abstract: A modification of the usual extended N=2 super symmetry algebra implementing the two dimensional permutation group is performed. It is shown that one can found a multiplet that forms an off-shell realization of this alternative extension of standard super symmetry.
REF.: PHYSICAL REVIEW D 66, 065010 (2002)
Abstract: We present an alternative quantization for irreducible open gauge theories. The method relies on the possi- bility of modifying the classical Becchi-Rouet-Stora-Tyutin (BRST) operator and the gauge-fixing action written as in Yang-Mills type theories in order to obtain an on-shell invariant quantum action by using equations characterizing the full gauge algebra. From this then follows the construction of an off-shell version of the theory. We show how it is possible to build off-shell BRST algebra together with an invariant extension of the classical action. This is realized via a systematic prescription for the introduction of auxiliary fields.
Abstract : We develop a method to derive the on-shell invariant quantum action of the simple supergravity in such a way that the quartic ghost interactions term is explicity determined. First, we reinvestigate the simple supergravity in terms of a principal superfiber bundle. This gives rise to the closed geometrical BRST algebra. Therefore we determine the open BRST algebra, which realizes the invariance of the classical action. Then, given a prescription to build the full quantum action, we obtain the quantum BRST algebra. Together with the constructed quantum action this allows us to recover the auxiliary fields and the invariant extension of the classical action.