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Leipzig 2002 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 11: Quantenfeldtheorie: Algebraische QFT und Verwandtes

MP 11.3: Fachvortrag

Monday, March 18, 2002, 14:40–15:00, SR 1035/36

2-dimensional NT=4 super Yang-Mills is a Hodge-type cohomological theory — •Bodo Geyer1 und Dietmar Mülsch21Institut f. Theoret. Physik, Univ. Leipzig — 2Wissenschaftszentrum Leipzig e.V.

It is shown that dimensional reduction of the 3-dimensional NT=2 Blau-Thompson model to D=2, i.e., the novel topological twist of the 2-dimensional N=8 SYM theory, provides an example of a Hodge-type cohomological theory: The generators of the topological shift, the co-shift and the gauge symmetry, (Qa,Qa,G), together with a discrete duality operation are completely analogous to the de Rham operators, (d, δ, Δ), and the Hodge ⋆−operation.
References:
B. Geyer and D. Mülsch, Phys. Lett. B 518 (2001) 181; Nucl. Phys. B 616 (2001) 476

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