430 research outputs found
Renormalization in General Gauge Mediation
We revisit General Gauge Mediation (GGM) in light of the supersymmetric
(linear) sigma model by utilizing the current superfield. The current
superfield in the GGM is identified with supersymmetric extension of the vector
symmetry current of the sigma model while spontaneous breakdown of
supersymmetry in the GGM corresponds to soft breakdown of the axial vector
symmetry of the sigma model. We first derive the current superfield from the
supersymmetric linear sigma model and then compute 2-point functions of the
current superfield using the (anti-)commutation relations of the messenger
component fields. After the global symmetry are weakly gauged, the 2-point
functions of the current superfield are identified with a part of the 2-point
functions of the associated vector superfield. We renormalize them by
dimensional regularization and show that physical gaugino and sfermion masses
of the MSSM are expressed in terms of the wavefunction renormalization
constants of the component fields of the vector superfield.Comment: 25 pages, 12 figure
D-branes with Lorentzian signature in the Nappi-Witten model
Lorentzian signature D-branes of all dimensions for the Nappi-Witten string
are constructed. This is done by rewriting the gluing condition for
the model chiral currents on the brane as a well posed first order differential
problem and by solving it for Lie algebra isometries other than Lie algebra
automorphisms. By construction, these D-branes are not twined conjugacy
classes. Metrically degenerate D-branes are also obtained.Comment: 22 page
Aging and Holography
Aging phenomena are examples of `non-equilibrium criticality' and can be
exemplified by systems with Galilean and scaling symmetries but no time
translation invariance. We realize aging holographically using a deformation of
a non-relativistic version of gauge/gravity duality. Correlation functions of
scalar operators are computed using holographic real-time techniques, and agree
with field theory expectations. At least in this setup, general aging phenomena
are reproduced holographically by complexifying the bulk space-time geometry,
even in Lorentzian signature.Comment: 1 pdf figur
Hidden Yangian symmetry in sigma model on squashed sphere
We discuss a hidden symmetry of a two-dimensional sigma model on a squashed
S^3. The SU(2) current can be improved so that it can be regarded as a flat
connection. Then we can obtain an infinite number of conserved non-local
charges and show the Yangian algebra by directly checking the Serre relation.
This symmetry is also deduced from the coset structure of the squashed sphere.
The same argument is applicable to the warped AdS_3 spaces via double Wick
rotations.Comment: 11 pages, 1 figure, typos corrected, references adde
Geometric construction of D-branes in WZW models
The geometric description of D-branes in WZW models is pushed forward. Our
starting point is a gluing condition\, that matches the model's
chiral currents at the worldsheet boundary through a linear map acting on
the WZW Lie algebra. The equivalence of boundary and gluing conditions of this
type is studied in detail. The analysis involves a thorough discussion of
Frobenius integrability, shows that must be an isometry, and applies to
both metrically degenerate and nondegenerate D-branes. The isometry need
not be a Lie algebra automorphism nor constantly defined over the brane. This
approach, when applied to isometries of the form with a constant Lie
algebra automorphism, validates metrically degenerate -twined conjugacy
classes as D-branes. It also shows that no D-branes exist in semisimple WZW
models for constant\, .Comment: 23 pages, discussion of limitations of the gluing condition approach
adde
Tree Level Metastability and Gauge Mediation in Baryon Deformed SQCD
We investigate supersymmetric QCD with gauge group SU(2) and a baryon
deformation to the superpotential. The existence of an uplifted vacuum at the
origin with tree level metastability is demonstrated. When this model is
implemented in a direct gauge mediation scenario we therefore find gaugino
masses which are comparable to sfermion masses and parameterised by an
effective number of messengers 1/8. All deformations are well motivated by
appealing to the electric theory and an R-symmetry. This R-symmetry is
explicitly broken by the same term responsible for supersymmetry breaking.
Moreover, the model does not suffer from the Landau pole problem and we find
that it can be described in terms of just two scales: the weak scale and a high
scale like the Planck or GUT scale. The model can be tested by searching for
new particles at the TeV scale charged under the visible sector gauge group.Comment: 17 pages, 7 figures, updated reference
The Minimal Solution to the mu/B_mu Problem in Gauge Mediation
We provide a minimal solution to the mu/B_mu problem in the gauge mediated
supersymmetry breaking by introducing a Standard Model singlet filed S with a
mass around the messenger scale which couples to the Higgs and messenger
fields. This singlet is nearly supersymmetric and acquires a relatively small
Vacuum Expectation Value (VEV) from its radiatively generated tadpole term.
Consequently, both mu and B_mu parameters receive the tree-level and one-loop
contributions, which are comparable due to the small S VEV. Because there
exists a proper cancellation in such two kinds of contributions to B_mu, we can
have a viable Higgs sector for electroweak symmetry breaking.Comment: 15 pages, 2 figures, version published on JHE
Patterns of Soft Masses from General Semi-Direct Gauge Mediation
We give a general formulation of semi-direct gauge mediation of supersymmetry
breaking where the messengers interact with the hidden sector only through a
weakly gauged group. Using this general formulation, we provide an explicit
proof that the MSSM gaugino masses are vanishing to leading order in the gauge
couplings. On the other hand, the MSSM sfermion masses have, generically, a
non-vanishing leading contribution. We discuss how such a mechanism can
successfully be combined with other mediation schemes which give tachyonic
sfermions, such as sequestered anomaly mediation and some direct gauge
mediation models.Comment: 26 pages, 5 figures; v2: refs added; v3: minor corrections,
clarifications added, mainly in section
General Messenger Gauge Mediation
We discuss theories of gauge mediation in which the hidden sector consists of
two subsectors which are weakly coupled to each other. One sector is made up of
messengers and the other breaks supersymmetry. Each sector by itself may be
strongly coupled. We provide a unifying framework for such theories and discuss
their predictions in different settings. We show how this framework
incorporates all known models of messengers. In the case of weakly-coupled
messengers interacting with spurions through the superpotential, we prove that
the sfermion mass-squared is positive, and furthermore, that there is a lower
bound on the ratio of the sfermion mass to the gaugino mass.Comment: 37 pages; minor change
(Extra)Ordinary Gauge/Anomaly Mediation
We study anomaly mediation models with gauge mediation effects from
messengers which have a general renormalizable mass matrix with a
supersymmetry-breaking spurion. Our models lead to a rich structure of
supersymmetry breaking terms in the visible sector. We derive sum rules among
the soft scalar masses for each generation. Our sum rules for the first and
second generations are the same as those in general gauge mediation, but the
sum rule for the third generation is different because of the top Yukawa
coupling. We find the parameter space where the tachyonic slepton problem is
solved. We also explore the case in which gauge mediation causes the
anomalously small gaugino masses. Since anomaly mediation effects on the
gaugino masses exist, we can obtain viable mass spectrum of the visible sector
fields.Comment: 24 pages, 10 figure
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