44 research outputs found
Sfinksi hakoteillä
Etienne Klein: Keskusteluja sfinksin kanssa.
Paradoksien merkitys Fysiikassa. Suom. Rami Kirstinä.
Terra Cognita 2000, 207 s
Meta-stable Supersymmetry Breaking in an N=1 Perturbed Seiberg-Witten Theory
In this contribution, we discuss the possibility of meta-stable supersymmetry
(SUSY) breaking vacua in a perturbed Seiberg-Witten theory with
Fayet-Iliopoulos (FI) term. We found meta-stable SUSY breaking vacua at the
degenerated dyon and monopole singular points in the moduli space at the
nonperturbative level.Comment: Submitted for the SUSY08 proceedings, 3 pages, 4 figures, references
added, minor change
Meta-stable Vacuum in Spontaneously Broken N=2 Supersymmetric Gauge Theory
We consider an N=2 supersymmetric SU(2) \times U(1) gauge theory with N_f=2
massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI
term, supersymmetry is spontaneously broken at tree level (on the Coulomb
branch), leaving a pseudo-flat direction in the classical potential. This
vacuum degeneracy is removed once quantum corrections are taken into account.
Due to the SU(2) gauge dynamics, the effective potential exhibits a local
minimum at the dyon point, where not only supersymmetry but also U(1)_R
symmetry is broken, while a supersymmetric vacuum would be realized toward
infinity with the runaway behavior of the potential. This local minimum is
found to be parametrically long-lived. Interestingly, from a phenomenological
point of view, in this meta-stable vacuum the massive hypermultiplets inherent
in the theory play the role of the messenger fields in the gauge mediation
scenario, when the Standard Model gauge group is embedded into their flavor
symmetry.Comment: 27 pages, 11 figures, journal reference added, minor modifications in
the tex
Vortices, Q-balls and Domain Walls on Dielectric M2-branes
We study BPS solitons in N=6 U(N) \times U(N) Chern-Simons-matter theory
deformed by an F-term mass. The F-term mass generically breaks N=6
supersymmetry down to N=2. At vacua, M2-branes are polarized into a fuzzy S^3
forming a spherical M5-brane with topology \mathbf{R}^{1,2} \times S^3. The
polarization is interpreted as Myers' dielectric effect caused by an
anti-self-dual 4-form flux T_4 in the eleven-dimensional supergravity. Assuming
a polarized M2-brane configuration, the model effectively reduces to the
well-known abelian Chern-Simons-Higgs model studied in detail by
Jackiw-Lee-Weinberg. We find that the potential for the fuzzy S^3 radius agrees
with the one calculated from the M5-brane point of view at large N. This
effective model admits not only BPS topological vortex and domain wall
solutions but also non-topological solitons that keep 1/4 of the manifest N=2
supersymmetry. We also comment on the reduction of our configuration to ten
dimensions.Comment: references added, minor modification
Extended supersymmetry with gauged central charge
Global N=2 supersymmetry in four dimensions with a gauged central charge is
formulated in superspace. To find an irreducible representation of
supersymmetry for the gauge connections a set of constraints is given. Then the
Bianchi identities are solved subject to this set of constraints. It is shown
that the gauge connection of the central charge is a N=2 vector multiplet.
Moreover the Bogomol'nyi bound of the massive particle states is studied.Comment: 9 pages,standard latex, (Revised Version), to appear in Phys. Lett.
Dynamical Supersymmetry Breaking from Meta-stable Vacua in an N=1 Supersymmetric Gauge Theory
We investigate supersymmetry breaking meta-stable vacua in N=2, SU(2)\times
U(1) gauge theory with N_f=2 massless flavors perturbed by the addition of
small N=1 preserving mass terms in a presence of a Fayet-Iliopoulos term. We
derive the low energy effective theory by using the exact results of N=2
supersymmetric QCD and examine the effective potential. At the classical level,
the theory has supersymmetric vacua on Coulomb and Higgs branches. We find that
supersymmetry on the Coulomb branch is dynamically broken as a consequence of
the strong dynamics of SU(2) gauge symmetry while the supersymmetric vacuum on
the Higgs branch remains. We also estimate the lifetimes of the local minima on
the Coulomb branch. We find that they are sufficiently long and therefore the
local vacua we find are meta-stable.Comment: 24 pages, 13 figures, references adde