A Poincaré lemma for sigma models of AKSZ type
نویسندگان
چکیده
For a sigma model of AKSZ-type with target space a Q-manifold, we show that the cohomology in the space of local functionals of the differential associated to the BV master action is locally isomorphic to the cohomology of Q in target space. An analogous result is shown to hold for the cohomology in the space of functional multivectors. Applications in the context of the inverse problem of the calculus of variation for gauge systems are briefly discussed. Research Director of the Fund for Scientific Research-FNRS (Belgium). 2 BARNICH, GRIGORIEV
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تاریخ انتشار 2009