Bremen 2017 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 6: Quantum Field Theory I

MP 6.4: Vortrag

Dienstag, 14. März 2017, 15:45–16:05, SFG 2010

Superconformal Chern-Simons Mater Theory in Lorentzian Curved Manifolds — •Mojtaba Taslimitehrani — Max Planck institute for Mathematics in the Sciences, Leipzig, Germany

We study the N=6 superconformal Chern-Simons field theory (the ABJM theory) conformally coupled to a Lorentzian, curved background spacetime. To support rigid supersymmetry, such backgrounds have to admit twistor spinors. At the classical level, the symmetry of the theory can be described by a conformal symmetry superalgebra. We investigate the question of self-consistency of this theory which is closely related to the realization of the rigid conformal supersymmetry and local gauge symmetry at the quantum level. By carefully analyzing the relevant cohomology class of a suitable BRST differential in curved space-time, we show that there exists a renormalization scheme in which the full classical symmetries are preserved at the quantum level. This leads to an algebraic proof that the beta-function of this theory vanishes to all orders in perturbation theory.