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IMPLICATIONS OF DUALITY SYMMETRY IN PERTURBATIVE QUANTUM FIELD THEORY // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 159-164

Non-compact symmetries of extended 4d supergravities involve duality rotations of vectors and thus are not manifest off-shell invariances in standard "second-order" formulation. To study how such symmetries are realised in the quantum theory we consider examples in 2 dimensions where vector-vector duality is replaced by scalar-scalar one. Using a "doubled" formulation, where elds and their momenta are treated on an equal footing and the duality becomes a manifest symmetry of the action (at the expense of Lorentz symmetry), we argue that the corresponding on-shell quantum effective action or S-matrix are duality symmetric as well as Lorentz invariant. This contribution is based on [1].

Keywords: duality symmetry, supergravity