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MP: Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantum Field Theory and String Theory

MP 4.1: Fachvortrag

Dienstag, 8. März 2005, 14:00–14:20, TU MA043

Cohomological gauge theories with special holonomy — •Bodo Geyer — Institut f. Theoret. Physik, Univ. Leipzig, Augustusplatz 10-11

From Minkowskian 10D super Yang-Mills theory, by dimensional reduction and continuous Weyl-rotation, the 8D Euclidean, cohomological Spin(7)-invariant action S_cohom^N_T=1 is derived, and by reduction to 7D the cohomological G₂-invariant action S_cohom^{N_T = 2} with global SU(2) symmetry is obtained. Compatibility of chirality with generalized self-duality and octonionic algebra is shown. Using the chiral primary operator and the 8D analogue of the Pontryagin invariant a cohomological extension of S_cohom^{N_T = 1} has been constructed.