1,321 research outputs found
M2-Branes in N=3 Harmonic Superspace
We give a brief account of the recently proposed N=3 superfield formulation
of the N=6, 3D superconformal theory of Aharony et al (ABJM) describing a
low-energy limit of the system of multiple M2-branes on the AdS_4 x S^7/Z_k
background. This formulation is given in harmonic N=3 superspace and reveals a
number of surprising new features. In particular, the sextic scalar potential
of ABJM arises at the on-shell component level as the result of eliminating
appropriate auxiliary fields, while there is no any explicit superpotential at
the off-shell superfield level.Comment: 9 pages, Talk at the Conference "Selected Topics in Mathematical and
Particle Physics", In Honor of the 70-th Birthday of Jiri Niederle, Prague, 5
- 7 May 2009; the version published in the proceeding
Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
This is a brief survey of applications of the harmonic superspace methods to
the models of N=4 supersymmetric quantum mechanics (SQM). The main focus is on
a recent progress in constructing SQM models with couplings to the background
non-Abelian gauge fields. Besides reviewing and systemizing the relevant
results, we present some new examples and make clarifying comments
Quaternion-K\"ahler N=4 Supersymmetric Mechanics
Using the N=4, 1D harmonic superspace approach, we construct a new type of
N=4 supersymmetric mechanics involving 4n-dimensional Quaternion-K\"ahler (QK)
1D sigma models as the bosonic core. The basic ingredients of our construction
are {\it local} N=4, 1D supersymmetry realized by the appropriate
transformations in 1D harmonic superspace, the general N=4, 1D superfield
vielbein and a set of 2(n+1) analytic "matter" superfields representing (n+1)
off-shell supermultiplets (4, 4, 0). Both superfield and component actions are
given for the simplest QK models with the manifolds \mathbb{H}H^n =
Sp(1,n)/[Sp(1) x Sp(n)] and \mathbb{H}P^n = Sp(1+n)/[Sp(1) x Sp(n)] as the
bosonic targets. For the general case the relevant superfield action and
constraints on the (4, 4, 0) "matter" superfields are presented. Further
generalizations are briefly discussed.Comment: further minor corrections in eqs. (2.21), (4.24) and (A9
Higher Spins from Nonlinear Realizations of
We exhibit surprising relations between higher spin theory and nonlinear
realizations of the supergroup , a minimal superconformal extension
of N=1, 4D supersymmetry with tensorial charges. We construct a realization of
on the coset supermanifold which involves the
tensorial superspace and Goldstone superfields given on it. The
covariant superfield equation encompassing the component ones for all integer
and half-integer massless higher spins amounts to the vanishing of covariant
spinor derivatives of the suitable Goldstone superfields, and, via
Maurer-Cartan equations, to the vanishing of supercurvature in odd
directions of . Aiming at higher spin extension of the
Ogievetsky-Sokatchev formulation of N=1 supergravity, we generalize the notion
of N=1 chirality and construct first examples of invariant superfield actions
involving a non-trivial interaction. Some other potential implications of
in the proposed setting are briefly outlined.Comment: LaTeX, 13 pages. Minor, mostly typographic corrections. Version which
appears in Physics Letters
Multiparticle mechanics with superconformal symmetry
We present a new multiparticle model of mechanics with
superconformal symmetry. The system is constructed in terms of two
matrix multiplets. One of them is a bosonic matrix multiplet and another is a fermionic one.
Off-diagonal bosonic components of the multiplet are chosen
to take values in the flag manifold and they
carry additional gauge symmetries. The explicit form of the
supersymmetry generators is found. We demonstrate that the superalgebra
constructed contains as subalgebras two different
superalgebras intersecting over the common
subalgebra.Comment: 1 + 23 pages, v2: minor corrections, new references and
acknowledgements adde
OSp(4|2) Superconformal Mechanics
A new superconformal mechanics with OSp(4|2) symmetry is obtained by gauging
the U(1) isometry of a superfield model. It is the one-particle case of the new
N=4 super Calogero model recently proposed in arXiv:0812.4276 [hep-th].
Classical and quantum generators of the osp(4|2) superalgebra are constructed
on physical states. As opposed to other realizations of N=4 superconformal
algebras, all supertranslation generators are linear in the odd variables,
similarly to the N=2 case. The bosonic sector of the component action is
standard one-particle (dilatonic) conformal mechanics accompanied by an
SU(2)/U(1) Wess-Zumino term, which gives rise to a fuzzy sphere upon
quantization. The strength of the conformal potential is quantized.Comment: 1+20 pages, v2: typos fixed, for publication in JHE
From Galilean superparticle to three-dimensional non-relativistic superfields
We consider the general Galilean superalgebra
with arbitrary central charges and study its dynamical realizations. Using the
nonlinear realization techniques, we introduce a class of actions for
three-dimensional non-relativistic superparticle, such that
they are linear in the central charge Maurer-Cartan one-forms. As a
prerequisite to the quantization, we analyze the phase space constraints
structure of our model for various choices of the central charges. The first
class constraints generate gauge transformations, involving fermionic
-gauge transformations. The quantization of the model gives rise to the
collection of free , Galilean superfields, which
can be further employed, e.g., for description of three-dimensional
non-relativistic supersymmetric theories.Comment: 1 + 39 pages; v2: minor corrections in few formulas and many language
corrections without any impact on the results; one reference and two
footnotes adde
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