399 research outputs found
Antibrackets and non-Abelian equivariant cohomology
The Weil algebra of a semisimple Lie group and an exterior algebra of a
symplectic manifold possess antibrackets. They are applied to formulate the
models of non--abelian equivariant cohomologies.Comment: 6 page
Massive particle with torsion and conformal mechanics
The consequences of coupling of the torsion (highest curvature) term to the
Lagrangian of a massive spinless particle in four-dimensional space-time are
studied. It is shown that the modified system remains spinless and possesses
extended gauge invariance. Though the torsion term does not generate spin, it
provides the system with a nontrivial mass spectrum, described by
one-dimensional conformal mechanics. Under an appropriate choise of
characteristic constants the system has solutions with a discrete mass
spectrum.Comment: 9 pages, revised version accepted in Phys.Lett.
Hessian K3 surfaces of non-Sylvester type
We construct the moduli space of cubic surfaces which do not admit a
Sylvester form as an arithmetic quotient, and determine the graded ring of
modular forms of even weights
Multi-center MICZ-Kepler systems
We present the classical solutions of the two-center MICZ-Kepler and
MICZ-Kepler-Stark systems. Then we suggest the model of multi-center
MICZ-Kepler system on the curved spaces equipped with -invariant
conformal flat metrics.Comment: 7 pages, typos corrected, refs added. Contribution to the Proceedings
of International Workshop on Classical and Quantum Integrable systems,
24-28.01.2007, Dubna, Russi
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