5,170 research outputs found
Refining the classification of the irreps of the 1D N-Extended Supersymmetry
The linear finite irreducible representations of the algebra of the 1D
-Extended Supersymmetric Quantum Mechanics are discussed in terms of their
"connectivity" (a symbol encoding information on the graphs associated to the
irreps). The classification of the irreducible representations with the same
fields content and different connectivity is presented up to .Comment: Two extra cases added. Reply to hep-th/0611060v2 comments adde
Decomposition and Oxidation of the N-Extended Supersymmetric Quantum Mechanics Multiplets
We furnish an algebraic understanding of the inequivalent connectivities
(computed up to ) of the graphs associated to the irreducible
supermultiplets of the N-extended Supersymmetric Quantum Mechanics. We prove
that the inequivalent connectivities of the N=5 and N=9 irreducible
supermultiplets are due to inequivalent decompositions into two sets of N=4
(respectively, N=8) supermultiplets. "Oxido-reduction" diagrams linking the
irreducible supermultiplets of the N=5,6,7,8 supersymmetries are presented. We
briefly discuss these results and their possible applications.Comment: 15 pages, 5 figure
Conversion of second class constraints by deformation of Lagrangian local symmetries
For a theory with first and second class constraints, we propose a procedure
for conversion of second class constraints based on deformation the structure
of local symmetries of the Lagrangian formulation. It does not require
extension or reduction of configuration space of the theory. We give examples
in which the initial formulation implies a non linear realization of some
global symmetries, therefore is not convenient. The conversion reveals hidden
symmetry presented in the theory. The extra gauge freedom of conversed version
is used to search for a parameterization which linearizes the equations of
motion. We apply the above procedure to membrane theory (in the formulation
with world-volume metric). In the resulting version, all the metric components
are gauge degrees of freedom. The above procedure works also in a theory with
only second class constraints presented. As an examples, we discuss arbitrary
dynamical system of classical mechanics subject to kinematic constraints,
O(N)-invariant nonlinear sigma-model, and the theory of massive vector field
with Maxwell-Proca Lagrangian.Comment: 23 pages, misprints corrected. Slightly compactified version is
published in Phys. Lett. B 646 (2007) 4
Determinant Line Bundles and Topological Invariants of Hyperbolic Geometry - Expository Remarks
We give some remarks on twisted determinant line bundles and Chern-Simons
topological invariants associated with real hyperbolic manifolds. Index of a
twisted Dirac operator is derived. We discuss briefly application of obtained
results in topological quantum field theory.Comment: 10 pages. To appear in G@C, special issue devoted to QG, Unified
Models and Strings, to mark 100th Anniversary of Tomsk State Pedagogical
University. Editor - S.D. Odintso
One-dimensional structures behind twisted and untwisted superYang-Mills theory
We give a one-dimensional interpretation of the four-dimensional twisted N=1
superYang-Mills theory on a Kaehler manifold by performing an appropriate
dimensional reduction. We prove the existence of a 6-generator superalgebra,
which does not possess any invariant Lagrangian but contains two different
subalgebras that determine the twisted and untwisted formulations of the N=1
superYang-Mills theory.Comment: 12 pages. Final version to appear in Lett. Math. Phys. with improved
notation and misprints correcte
Conditioned reflex activity of rats at later periods after the end of flight aboard the Kosmos-605 biosatellite
The aftereffects of spaceflight on the higher nervous activity of rats were studied. A five lane maze with a feeding terminal was used to check such factors as transfer of experience, the habit and speed of reaching the goal in the maze, long term memory, and the dynamics of errors. During the 3rd-7th postflight week, functional disturbances in the rat HNA were manifested in the deterioration of the capacity for the transfer of experience and for locating the feeding compartment in the maze, thus indicating a general decrease of work capacity. The increased number of errors and failures pointed to exhaustion of higher nervous processes and to the weakened functional activity of the brain
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