3,207 research outputs found
Effective gravity and OSp(N,4) invariant matter
We re-examine the OSp(N,4) invariant interacting model of massless chiral and
gauge superfields, whose superconformal invariance was instrumental, both in
proving the all-order no-renormalization of the mass and chiral
self-interaction lagrangians, and in determining the linear superfield
renormalization needed. We show that the renormalization of the gravitational
action modifies only the cosmological term, without affecting higher-order
tensors. This could explain why the effect of the cosmological constant is
shadowed by the effects of newtonian gravity.Comment: 12 pages, LaTeX, 4 figures, PACS: 04.65.+e, substantial revisions, to
appear in Phys. Rev.
N=4 supersymmetric mechanics with nonlinear chiral supermultiplet
We construct N=4 supersymmetric mechanics using the N=4 nonlinear chiral
supermultiplet. The two bosonic degrees of freedom of this supermultiplet
parameterize the sphere S(2) and go into the bosonic components of the standard
chiral multiplet when the radius of the sphere goes to infinity. We construct
the most general action and demonstrate that the nonlinearity of the
supermultiplet results in the deformation of the connection, which couples the
fermionic degrees of freedom with the background, and of the bosonic potential.
Also a non-zero magnetic field could appear in the system.Comment: 5 page
Hyper-Kaehler geometry and dualization
We demonstrate that in N=8 supersymmetric mechanics with linear and nonlinear
chiral supermultiplets one may dualize two auxiliary fields into physical ones
in such a way that the bosonic manifold will be a hyper-Kaehler one. The key
point of our construction is about different dualizations of the two auxiliary
components. One of them is turned into a physical one in the standard way
through its replacement by the total time derivative of some physical field.
The other auxiliary field is dualized through a Lagrange multiplier. We clarify
this choice of dualization by presenting the analogy with a three-dimensional
case.Comment: 9 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-
A modification of the 10d superparticle action inspired by the Gupta-Bleuler quantization scheme method
We reconsider the issue of the existence of a complex structure in the
Gupta-Bleuler quantization scheme. We prove an existence theorem for the
complex structure associated with the Casalbuoni-Brink-Schwarz
superparticle, based on an explicitly constructed Lagrangian that allows a
holomorphic-antiholomorphic splitting of the fermionic constraints consistent
with the vanishing of all first class constraints on the physical states.Comment: 7 pages, LaTeX, to appear in Phys. Lett.
Universal Superfield Action for Partial Breaking of Global Supersymmetry in D=1
We explicitly construct N=4 worldline supersymmetric minimal off-shell
actions for five options of 1/2 partial spontaneous breaking of
Poincar\'e supersymmetry. We demonstrate that the action for the N=4 Goldstone
supermultiplet with four fermions and four auxiliary components is a universal
one. The remaining actions for the Goldstone supermultiplets with physical
bosons are obtained from the universal one by off-shell duality
transformations.Comment: 9 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-
Superfield Formulation of Nonlinear N=4 Supermultiplets
We propose a unified superfield formulation of N=4 off-shell supermultiplets
in one spacetime dimension using the standard N=4 superspace. The main idea of
our approach is a "gluing" together of two linear supermultiplets along their
fermions. The functions defining such a gluing obey a system of equations. Each
solution of this system provides a new supermultiplet, linear or nonlinear,
modulo equivalence transformations. In such a way we reproduce all known linear
and nonlinear N=4, d=1 supermultiplets and propose some new ones. Particularly
interesting is an explicit construction of nonlinear N=4 hypermultiplets.Comment: 16 pages, no figure
Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
We apply the technique of Hamiltonian reduction for the construction of
three-dimensional supersymmetric mechanics specified by the
presence of a Dirac monopole. For this purpose we take the conventional supersymmetric mechanics on the four-dimensional conformally-flat spaces
and perform its Hamiltonian reduction to three-dimensional system. We formulate
the final system in the canonical coordinates, and present, in these terms, the
explicit expressions of the Hamiltonian and supercharges. We show that, besides
a magnetic monopole field, the resulting system is specified by the presence of
a spin-orbit coupling term. A comparison with previous work is also carried
out.Comment: 9 pages, LaTeX file, PACS numbers: 11.30.Pb, 03.65.-w, accepted for
publication in PRD; minor changes in the Conclusion, the Bibliography and the
Acknowledgemen
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