The formation of massive stellar clusters in turbulent molecular clouds is investigated. We include artificial star formation and energy feedback of newly born stars. The obtained systems are not likely to survive. Case studies to determine conditions necessary for forming bound clusters will be done in the future.

Michael P. Geyer Andreas Burkert

Following a general principle introduced by Ehrnstr\"{o}m et.al. we prove that for an equation modeling the free surface evolution of moderate amplitude waves in shallow water, all symmetric waves are traveling waves.

Anna Geyer

A modified version of triplectic quantization, first introduce by Batalin and Martnelius, is proposed which makes use of two independent master equations, one for the action and one for the gauge functional such that the initial classical action also obeys that master equation.

B. Geyer D. M. Gitman P. M. Lavrov

For arbitrary spacetime dimension a systematic procedure is carried on to uniquely decompose nonlocal light-cone operators into harmonic operators of well defined twist. Thereby, harmonic tensor polynomials up to rank 2 are introduced. Symmetric tensor operators of rank 2 are considered as an example.

B. Geyer M. Lazar

A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. Thereby, osp(1,2) is considered as subalgebra of the superalgebra sl(1,2) which is interpreted as conformal algebra acting on two anticommuting coordinates. The mass-dependent (anti)BRST symmetries of the quantum action in the osp(1,2) superfield formalism are realized as translations associated by mass-dependent special conformal transformations.

Bodo Geyer Dietmar Muelsch

We show that the partially topological twisted N=16, D=2 super Yang-Mill theory gives rise to a N_T=8 Hodge-type cohomological gauge theory with global SU(4) symmetry.

B. Geyer D. Mülsch

The construction of a $N_T=3$ cohomological gauge theory on an hyper-K"ahler eight-fold, whose group theoretical descrition was given by Blau and Thompson, is performed explicitly.

D. M"ulsch B. Geyer

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 desribed in terms of both bosonic and fermionic variables.

B. Geyer D. M. Gitman P. M. Lavrov P. Yu. Moshin

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 cohomological extension, which relies on the existence of the eight-dimensional analogue of the Pontryagin invariant arising from a quartic chiral primary operator.

D. M"ulsch B. Geyer

We equip the whole space of fields of the triplectic formalism of Lagrangian quantization with an even supersymplectic structure and clarify its geometric meaning. We also discuss its relation to a closed two-form arising naturally in the superfield approach to the triplectic formalism.

Bodo Geyer Peter Lavrov Armen Nersessian