332 research outputs found
-models on the quantum group manifolds , , and infinitesimal trasformations
The differential and variational calculus on the group is
constructed. The spontaneous breaking symmetry in the WZNW model with
quantum group symmetry and in the -models with
, quantum group symmetry is considered.
The Lagrangian formalism over the quantum group manifolds is discussed. The
classical solution of {}-model is obtained.Comment: LaTex, 7 page
Nilpotent Marsh and SUSY QM
We consider the nilpotent additions to classical trajectories in
supersymmetric and nonsupersymmetric theories. The condition of anilpotence of
action on some generalized solutions leads to the Witten supersymmetric
Lagrangian. The condition of anilpotence of topological charge is the same as
one of superpotential with spontaneous broken supersymmetry. We should vanish
half of Grassmann constants of integration, because in this case only we obtain
the same number of normalized bosonic and fermionic zero modes.Comment: 8 pages, Latex 2.09. Talk given at the conference in memory of V.I.
Ogievetski, Dubna, July, 1997. To be published in the Proceeding
New records of Dacrymyces ovisporus and Tremella diaporthicola from the Ukraine
The present paper deals with new records of the heterobasidioid fungi Dacrymyces ovisporus Bref. and Tremella diaporthicola Ginns et M.N.L. Lefebvre in Europe. The taxonomical status of these species is considered and detailed descriptions and illustrations of specimens are given
Scientific and technical aspects of navigation systems for autonomous and manned mars rover vehicle
Potentials in N=4 superconformal mechanics
Proceeding from nonlinear realizations of (super)conformal symmetries, we
explicitly demonstrate that adding the harmonic oscillator potential to the
action of conformal mechanics does not break these symmetries but modifies the
transformation properties of the (super)fields. We also analyze the possibility
to introduce potentials in N=4 supersymmetric mechanics by coupling it with
auxiliary fermionic superfields. The new coupling we considered does not
introduce new fermionic degrees of freedom - all our additional fermions are
purely auxiliary ones. The new bosonic components have a first order kinetic
term and therefore they serve as spin degrees of freedom. The resulting system
contains, besides the potential term in the bosonic sector, a non-trivial
spin-like interaction in the fermionic sector. The superconformal mechanics we
constructed in this paper is invariant under the full
superconformal group. This invariance is not evident and is achieved within
modified (super)conformal transformations of the superfields.Comment: 12 pages, PACS number: 12.60.J
Diffeomorphism, kappa transformations and the theory of non-linear realisations
We will show how the theory of non-linear realisations can be used to
naturally incorporate world line diffeomorphisms and kappa transformations for
the point particle and superpoint particle respectively. Similar results also
hold for a general p-brane and super p-brane, however, we must in these cases
include an additional Lorentz transformation.Comment: 19pages, no figure. References are added and typos are correcte
Dynamics of (SUSY) AdS Space Isometry Breaking
Actions governing the dynamics of the Nambu-Goldstone modes resulting from
the spontaneous breaking of the SO(4,2) and isometries of five
dimensional anti-de Sitter space () and SUSY
spaces respectively due to a restriction of the motion to embedded four
dimensional space and four dimensional Minkowski space () probe
branes are presented. The dilatonic Nambu-Goldstone mode governing the motion
of the space probe brane into the covolume of the SUSY
space is found to be unstable. No such instablility appears in the other cases.
Gauging these symmetries leads to an Einstein-Hilbert action containing, in
addition to the gravitational vierbein, a massive Abelian vector field coupled
to gravity.Comment: 6 pages, 0 figures, to appear in Proceedings of IRGAC 2006: 2nd
International Conference on Quantum Theories and Renormalization Group in
Gravity and Cosmology, Barcelon
Chemodivergence in Metal-Catalyzed Cross-Dehydrogenative Coupling Reactions of 2H-imidazole 1-oxides with 1H-pyrrole
This work was supported by the Russian Science Foundation (Project # 18-73-00088)
Superfield equations for the interacting system of D=4 N=1 supermembrane and scalar multiplet
We present the superfield action for the dynamical N=1 D=4 supermembrane in
interaction with a dynamical scalar multiplet and use it to derive the
superfield equations of motion. These include the supermembrane equations,
which formally coincide with equations of supermembrane in a background of the
(off-shell) scalar multiplet, and the special chiral superfield equations with
supermembrane source. In the case when the scalar supermultiplet part of the
action contains only the simplest kinetic term we have also extracted the
spacetime component field equations from the superfield equations and solve
these in the leading order on supermembrane tension. The inclusion of
nontrivial superpotential and relation with known supersymmetric domain wall
solutions is briefly discussed.Comment: 26 pages. V2: misprints corrected, references and an acknowledgment
added, minor changes, in particular in sec. 4.2.1. V.3. discussion on the
relation with known solutions added; to appear in Nucl.Phys. B (2011
- …