26 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
Immotthia atrograna (Dacampiaceae, Ascomycota), a new for Ukraine fungicolous fungus from the Carpathians
The paper reports first records of new for Ukraine genus and species of fungicolous fungi, Immotthia atrograna (Cooke et Ellis) M.E. Barr. All collections were made in old-growth forests within protected areas in the Ukrainian Carpathians during recent mycological surveys. The fungus was found to be associated with two xylariaceous species, Annulohypoxylon cohaerens (Pers.) Y.M. Ju, J.D. Rogers et H.M. Hsieh and A. multiforme (Fr.) Y.M. Ju, J.D. Rogers et H.M. Hsieh. Diagnostic description, nomenclature data, geographical distribution and original illustrations for both sexual and asexual morphs of the reported species are provided. Morphologically similar fungicolous fungi are briefly reviewed and compared
Deformed Oscillator Algebras and Higher-Spin Gauge Interactions of Matter Fields in 2+1 Dimensions
We formulate a non-linear system of equations which describe higher-spin
gauge interactions of massive matter fields in 2+1 dimensional space-time and
explain some properties of the deformed oscillator algebra which underlies this
formulation. In particular we show that the parameter of mass of matter
fields is related to the deformation parameter in this algebra.Comment: LaTex, 12 pages, no figures; Invited talk at the International
Seminar Supersymmetry and Quantum Field Theory dedicated to the memory of
Dmitrij V. Volkov; Kharkov, January 1997; to appear in the proceeding
On the equivalence between real and superfield 5d formalisms
We explicitly prove the equivalence and construct a dictionary between two
different supersymmetric formalisms for five-dimensional theories commonly used
in the literature. One is the real formalism, which consists in doubling the
number of degrees of freedom and then imposing reality constraints and the
other is the usual superfield formalism.Comment: 19 page
Non-compact Groups, Coherent States, Relativistic Wave Equations and the Harmonic Oscillator II: Physical and Geometrical Considerations
The physical meaning of the particularly simple non-degenerate supermetric,
introduced in the previous part by the authors, is elucidated and the possible
connection with processes of topological origin in high energy physics is
analyzed and discussed. New possible mechanism of the localization of the
fields in a particular sector of the supermanifold is proposed and the
similarity and differences with a 5-dimensional warped model are shown. The
relation with gauge theories of supergravity based in the group is
explicitly given and the possible original action is presented. We also show
that in this non-degenerate super-model the physic states, in contrast with the
basic states, are observables and can be interpreted as tomographic projections
or generalized representations of operators belonging to the metaplectic group
. The advantage of geometrical formulations based on non-degenerate
super-manifolds over degenerate ones is pointed out and the description and the
analysis of some interesting aspects of the simplest Riemannian superspaces are
presented from the point of view of the possible vacuum solutions.Comment: Stile of the text improved in Journa
New Superembeddings for Type II Superstrings
Possible ways of generalization of the superembedding approach for the
supersurfaces with the number of Grassmann directions being less than the half
of that for the target superspace are considered on example of Type II
superstrings. Focus is on n=(1,1) superworldsheet embedded into D=10 Type II
superspace that is of the interest for establishing a relation with the NSR
string.Comment: 26 pages, LaTeX, JHEP.cls and JHEP.bst style files are used; v2:
misprints corrected, comments, acknowledgments, references adde
Black Holes, Branes and Superconformal Symmetry
The main focus of this lecture is on extended objects in adS*S bosonic
backgrounds with unbroken supersymmetry. The backgrounds are argued to be
exact, special consideration are given to the non-maximal supersymmetry case.
The near horizon superspace construction is explained. The superconformal
symmetry appears in the worldvolume actions as the superisometry of the near
horizon superspace, like the superPoincare symmetry of GS superstring and BST
supermembrane in the flat superspace. The issues in gauge fixing of local
kappa-symmetry are reviewed. We describe the features of the gauge-fixed IIB
superstring in adS(5)*S(5) background with RR 5-form. From a truncated boundary
version of it we derive an analytic N=2 off shell harmonic superspace of
Yang-Mills theory. The reality condition of the analytic subspace, which
includes the antipodal map on the sphere, has a simple meaning of the symmetry
of the string action in the curved space. The relevant issues of black holes
and superconformal mechanics are addressed.Comment: 34 pages, Latex. To be published in the Proceedings of a conference
held in Corfu, Greece in September 1998. Improvement in Sec. 3.
Many-Body Superconformal Systems from Hamiltonian Reductions
We propose a new reduction mechanism which allows one to construct n-particle
(super)conformal theories with pairwise interaction starting from a composite
system involving n(n-1)/2+1 copies of the ordinary (super)conformal mechanics.
Applications of the scheme include an N=4 superconformal extension for a
complexification of the Calogero model and a D(2,1|\alpha)-invariant n-particle
system.Comment: 12 pages, no figures. v2: Title changed. New material and
acknowledgements adde
Generalized Conformal Quantum Mechanics of D0-brane
We study the generalized conformal quantum mechanics of the probe D0-brane in
the near horizon background of the bound state of source D0-branes. We
elaborate on the relationship of such model to the M theory in the light cone
frame.Comment: 14 pages, RevTeX, revised version with added references to appear in
Phys. Rev.
Variant supercurrents and Noether procedure
Consistent supercurrent multiplets are naturally associated with linearized
off-shell supergravity models. In arXiv:1002.4932 we presented the hierarchy of
such supercurrents which correspond to all the models for linearized 4D N = 1
supergravity classified a few years ago. Here we analyze the correspondence
between the most general supercurrent given in arXiv:1002.4932 and the one
obtained eight years ago in hep-th/0110131 using the superfield Noether
procedure. We apply the Noether procedure to the general N = 1 supersymmetric
nonlinear sigma-model and show that it naturally leads to the so-called
S-multiplet, revitalized in arXiv:1002.2228.Comment: 6 page