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MP: Theoretische und Mathematische Grundlagen der Physik
MP 11: Quantenfeldtheorie: Algebraische QFT und Verwandtes
MP 11.3: Fachvortrag
Montag, 18. März 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 Mülsch2 — 1Institut 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