20 research outputs found
Deformed supersymmetric quantum mechanics with spin variables
We quantize the one-particle model of the supersymmetric
multi-particle mechanics with the additional semi-dynamical spin degrees of
freedom. We find the relevant energy spectrum and the full set of physical
states as functions of the mass-dimension deformation parameter and spin , . It is found that the states at the fixed energy level form
irreducible multiplets of the supergroup . Also, the hidden
superconformal symmetry of the model is revealed in the
classical and quantum cases. We calculate the Casimir
operators and demonstrate that the full set of the physical states belonging to
different energy levels at fixed are unified into an irreducible multiplet.Comment: 19 pages, 2 figures; v3: comments and new reference added, typos
corrected, published versio
Deformed mechanics of multiplets
We construct new models of `curved' SU supersymmetric mechanics based
on two versions of the off-shell multiplet which are `mirror' to
each other. The worldline realizations of the supergroup SU are treated
as a deformation of flat , supersymmetry. Using
SU chiral superfields, we derive invariant actions for the first-type
multiplet, which parametrizes special K\"ahler manifolds. Since
we are not aware of a manifestly SU covariant superfield formalism for
the second-type multiplet, we perform a general construction of
SU invariant actions for both multiplet types in terms of SU
superfields. An important class of such actions enjoys superconformal
OSp invariance. We also build off-shell actions for the SU
multiplets and through appropriate substitutions
for the component fields in the actions. The
actions are shown to respect superconformal SU invariance.Comment: 1+34 pages; v2: section 3 revised, typos corrected, 5 additional
references, clarifying comments and acknowledgment added, matches published
versio
Non-linear (3, 4, 1) multiplet of , supersymmetry as a semi-dynamical spin multiplet
We consider a new type of , semi-dynamical multiplet based
on the non-linear version of the mirror multiplet , with the
triplet of bosonic physical fields parametrizing a three-dimensional sphere
of the radius . The limit amounts to the contraction
and leads to the linear mirror multiplet . Spin degrees of freedom described by a Wess-Zumino action specify a
two-dimensional surface embedded in the sphere . A pair of the examples
considered correspond to the round and squashed ``fuzzy'' 2-spheres. We couple
the squashed 2-sphere model to the dynamical mirror multiplet . A notable feature of this coupling is the dependence of the squashing
parameter on the bosonic fields of the chiral multiplet.Comment: 1+17 page
SU(2|2) supersymmetric mechanics
We introduce a new kind of non-relativistic N = 8 supersymmetric mechanics, associated with worldline realizations of the supergroup SU(2|2) treated as a deformation of flat N = 8, d=1 supersymmetry. Various worldline SU(2|2) superspaces are constructed as coset manifolds of this supergroup, and the corresponding superfield techniques are developed. For the off-shell SU(2|2) multiplets (3,8,5), (4,8,4) and (5,8,3), we construct and analyze the most general superfield and component actions. Common features are mass oscillator-type terms proportional to the deformation parameter and a trigonometric realization of the superconformal group OSp(4∗|4) in the conformal cases. For the simplest (5,8,3) model the quantization is performed. © 2016, The Author(s)
Influence of antimony on structure and physical properties of molten tin
Structure of liquid Sb-Sn alloys were studied by means of viscosity measurements and X-ray diffraction. Structural factors and pair correlation functions were analysed and interpreted using the random
atomic distribution model. The features of temperature dependence of the viscosity coeff cient were analysed
taking into account X-ray diff raction patterns. The results allow us to conclude that Sb atoms substitute for Sn
atoms, forming a typical atomic solution, which reveals
chemical and topological short-range order. Moreover,
certain atoms form Sb- and Sn-based SbnSnm associates
and self-associates.peer-reviewe