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Cohomological extension of Spin(7)-invariant super Yang-Mills theory in eight dimensions
D. M"ulsch, B. Geyer
It is shown that the Spin(7)-invariant super Yang-Mills theory in euight dimensions, which relies on the existence of the Caley invariant, permits the construction of a cohomologic…
Superfield extended BRST quantization in general coordinates
B. Geyer, D. M. Gitman, P. M. Lavrov +1
We propose a superfield formalism of Lagrangian BRST-antiBRST quantization of arbitrary gauge theories in general coordinates with the base manifold of fields and antifields desrib…
Fedosov supermanifolds: Basic properties and the difference in even and odd cases
Bodo Geyer, Petr Lavrov
We study basic properties of supermanifolds endowed with an even (odd) symplectic structure and a connection respecting this symplectic structure. Such supermanifolds can be consid…
Surface-impedance approach solves problems with the thermal Casimir force between real metals
B. Geyer, G. L. Klimchitskaya, V. M. Mostepanenko
The surface impedance approach to the description of the thermal Casimir effect in the case of real metals is elaborated starting from the free energy of oscillators. The Lifshitz…
Euclidean super Yang-Mills theory on a hyper-K"ahler manifold
D. M"ulsch, B. Geyer
The construction of a cohomological gauge theory on an hyper-K"ahler eight-fold, whose group theoretical descrition was given by Blau and Thompson, is performed explicitly.
Modified triplectic quantization in general coordinates
B. Geyer, P. M. Lavrov
We present an extension of previous results (hep-th/0105215)on the quantization of general gauge theories within the BRST-antBRST invatiant Lagrangian scheme in general coordinates…