21,930 research outputs found
A new N = 8 nonlinear supermultiplet
We construct a new off-shell , nonlinear
supermultiplet proceeding from the nonlinear realization of
the , superconformal group in its
supercoset . The irreducibility constraints for the
superfields automatically follow from appropriate covariant conditions on the
-valued Cartan superforms. We present the most general
sigma-model type action for supermultiplet. The relations
between linear and nonlinear supermultiplets and linear
vector supermultiplet are discussed.Comment: 15 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-
N=4 supersymmetric Eguchi-Hanson sigma model in d=1
We show that it is possible to construct a supersymmetric mechanics with four
supercharges possessing not conformally flat target space. A general idea of
constructing such models is presented. A particular case with Eguchi--Hanson
target space is investigated in details: we present the standard and quotient
approaches to get the Eguchi--Hanson model, demonstrate their equivalence, give
a full set of nonlinear constraints, study their properties and give an
explicit expression for the target space metric.Comment: LaTeX, 9 page
SU(2) reductions in N=4 multidimensional supersymmetric mechanics
We perform an su(2) Hamiltonian reduction in the bosonic sector of the
su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we
get the five dimensional N=4 supersymmetric mechanics describing the motion of
an isospin carrying particle interacting with a Yang monopole. We provide the
Lagrangian and Hamiltonian descriptions of this system. Some possible
generalizations of the action to the cases of systems with a more general
bosonic action, a four-dimensional system which still includes eight fermionic
components, and a variant of five-dimensional N=4 mechanics constructed with
the help of the ordinary and twisted N=4 hypermultiplets were also considered.Comment: 11 pages, LaTeX file, no figures; 3 references added, minor
correction
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