27 research outputs found
Towards the complete N=2 superfield Born-Infeld action with partially broken N=4 supersymmetry
We propose a systematic way of constructing superfield Born-Infeld
action with a second nonlinearly realized N=2 supersymmetry. The latter,
together with the manifest N=2 supersymmetry, form a central-charge extended
supersymmetry. We embed the Goldstone-Maxwell N=2 multiplet into an
infinite-dimensional off-shell supermultiplet of this N=4 supersymmetry and
impose an infinite set of covariant constraints which eliminate all extra N=2
superfields through the Goldstone-Maxwell one. The Born-Infeld superfield
Lagrangian density is one of these composite superfields. The constraints can
be solved by iterations to any order in the fields. We present the sought N=2
Born-Infeld action up to the 10th order. It encompasses the action found
earlier by Kuzenko and Theisen to the 8th order from a self-duality
requirement. This is a strong indication that the complete N=2 Born-Infeld
action with partially broken N=4 supersymmetry is also self-dual.Comment: 12 pages, LaTeX, typos corrected, version to appear in Phys. Rev.
QCD sum rules with finite masses
The concept of QCD sum rules is extended to bound states composed of
particles with finite mass such as scalar quarks or strange quarks. It turns
out that mass corrections become important in this context. The number of
relevant corrections is analyzed in a systematic discussion of the IR- and
UV-divergencies, leading in general to a finite number of corrections. The
results are demonstrated for a system of two massless quarks and two heavy
scalar quarks.Comment: 15 pages, including two pictures to be found in an extra file. Latex
neads epsf.st
Auxiliary Fields for Super Yang-Mills from Division Algebras
Division algebras are used to explain the existence and symmetries of various
sets of auxiliary fields for super Yang-Mills in dimensions .
(Contribution to G\"ursey Memorial Conference I: Strings and Symmetries)Comment: 7 pages, plain TeX, CERN-TH.7470/9
On A Superfield Extension of The ADHM Construction and N=1 Super Instantons
We give a superfield extension of the ADHM construction for the Euclidean
theory obtained by Wick rotation from the Lorentzian four dimensional N=1 super
Yang-Mills theory. In particular, we investigate the procedure to guarantee the
Wess-Zumino gauge for the superfields obtained by the extended ADHM
construction, and show that the known super instanton configurations are
correctly obtained.Comment: 22 pages, LaTeX, v2: typos corrected, references adde
Fermion zero modes in N=2 supervortices
We study the fermionic zero modes of BPS semilocal magnetic vortices in N=2
supersymmetric QED with a Fayet-Iliopoulos term and two matter hypermultiplets
of opposite charge. There is a one-parameter family of vortices with
arbitrarily wide magnetic cores. Contrary to the situation in pure
Nielsen-Olesen vortices, new zero modes are found which get their masses from
Yukawa couplings to scalar fields that do not wind and are non-zero at the
core. We clarify the relation between fermion mass and zero modes. The new zero
modes have opposite chiralities and therefore do not affect the net counting
(left minus right) of zero modes coming from index theorems but manage to evade
other index theorems in the literature that count the total number (left plus
right) of zero modes in simpler systems.Comment: 9 pages, 1 figure. Uses Revtex4. Revised version includes discussion
about the back-reaction of the fermions on the background vortex. Version to
be published in Phys. Rev.
Note on Gauge Theory on Fuzzy Supersphere
We construct a supermatrix model whose classical background gives
two-dimensional noncommutative supersphere. Quantum fluctuations around it give
the supersymmetric gauge theories on the fuzzy supersphere constructed by
Klimcik. This model has a parameter which can tune masses of the
particles in the model and interpolate various supersymmetric gauge theories on
sphere.Comment: 13 pages, LaTe
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
Dynamical Symmetry Breaking in Spaces with Constant Negative Curvature
By using the Nambu-Jona-Lasinio model, we study dynamical symmetry breaking
in spaces with constant negative curvature. We show that the physical reason
for zero value of critical coupling value in these spaces is
connected with the effective reduction of dimension of spacetime in the infrared region, which takes place for any dimension . Since
the Laplace-Beltrami operator has a gap in spaces with constant negative
curvature, such an effective reduction for scalar fields is absent and there
are not problems with radiative corrections due to scalar fields. Therefore,
dynamical symmetry breaking with the effective reduction of the dimension of
spacetime for fermions in the infrared region is consistent with the
Mermin-Wagner-Coleman theorem, which forbids spontaneous symmetry breaking in
(1 + 1)-dimensional spacetime.Comment: minor text changes, added new reference
Superconformal operators in N=4 super-Yang-Mills theory
We construct, in the framework of the N=4 SYM theory, a supermultiplet of
twist-two conformal operators and study their renormalization properties. The
components of the supermultiplet have the same anomalous dimension and enter as
building blocks into multi-particle quasipartonic operators. The latter are
determined by the condition that their twist equals the number of elementary
constituent fields from which they are built. A unique feature of the N=4 SYM
is that all quasipartonic operators with different SU(4) quantum numbers fall
into a single supermultiplet. Among them there is a subsector of the operators
of maximal helicity, which has been known to be integrable in the multi-color
limit in QCD, independent of the presence of supersymmetry. In the N=4 SYM
theory, this symmetry is extended to the whole supermultiplet of quasipartonic
operators and the one-loop dilatation operator coincides with a Hamiltonian of
integrable SL(2|4) Heisenberg spin chain.Comment: 45 pages, Latex, 4 figure
Gauge Theory on Noncommutative Supersphere from Supermatrix Model
We construct a supermatrix model which has a classical solution representing
the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the
classical background, we obtain a gauge theory on a noncommutative superspace
on sphere. This theory has supersymmetry and gauge
symmetry. We also discuss a commutative limit of the model keeping radius of
the supersphere fixed.Comment: 16 pages, Latex, typos corrected, references adde