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MP: Theoretische und Mathematische Grundlagen der Physik
MP 4: Quantum Field Theory and String Theory
MP 4.1: Fachvortrag
Tuesday, March 8, 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 ScohomNT=1 is derived, and by reduction to 7D the cohomological G2-invariant action ScohomNT = 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 ScohomNT = 1 has been constructed.