15,629 research outputs found
SU(7) Unification of SU(3)_C*SU(4)_W* U(1)_{B-L}
We propose the SUSY SU(7) unification of the SU(3)_C* SU(4)_W* U(1)_{B-L}
model. Such unification scenario has rich symmetry breaking chains in a
five-dimensional orbifold. We study in detail the SUSY SU(7) symmetry breaking
into SU(3)_C* SU(4)_W* U(1)_{B-L} by boundary conditions in a Randall-Sundrum
background and its AdS/CFT interpretation. We find that successful gauge
coupling unification can be achieved in our scenario. Gauge unification favors
low left-right and unification scales with tree-level \sin^2\theta_W=0.15. We
use the AdS/CFT dual of the conformal supersymmetry breaking scenario to break
the remaining N=1 supersymmetry. We employ AdS/CFT to reproduce the NSVZ
formula and obtain the structure of the Seiberg duality in the strong coupling
region for 3/2N_c<N_F<3N_C. We show that supersymmetry is indeed broken in the
conformal supersymmetry breaking scenario with a vanishing singlet vacuum
expectation value.Comment: 25 pages, 1 figure
Finite SU(3)^3 model
We consider N=1 supersymmetric gauge theories based on the group SU(N)_1 x
SU(N)_2 x ... x SU(N)_k with matter content (N,N*,1,...,1) + (1,N,N*,..., 1) +
>... + (N*,1,1,...,N) as candidates for the unification symmetry of all
particles. In particular we examine to which extent such theories can become
finite, and find that a necessary condition is that there should be exactly
three families. From phenomenological considerations an SU(3)^3 model is
singled out. We consider an all-loop and a two-loop finite model based on this
gauge group and we study their predictions concerning the third generation
quark masses.Comment: 4 pages, 2 figures. Talk given at 17th International Conference on
Supersymmetry and the Unification of Fundamental Interactions (SUSY09),
Boston, USA, 5-10 June 200
Flavor from Strongly Coupled Supersymmetry
Strongly coupled supersymmetric theories can give rise to composite quarks
and leptons at low energy. We show that the internal structure of these
particles can explain the origin of three generations and provide a qualitative
understanding of mass ratios and mixing angles between the different flavors of
fermions, all within a renormalizable theory. The main point of the paper is to
show how fermion masses and mixing angles can result from a ``dual''
Frogatt-Nielsen mechanism: fields neutral under which carry flavor quantum numbers are confined within quarks and
leptons, and from their perturbative interactions arises the observed flavor
structure.Comment: 28 pages, 5 figures, LATEX. A few typos corrected and references
adde
3D gauged supergravity from SU(2) reduction of 6D supergravity
We obtain Yang-Mills gauged supergravity in three dimensions
from group manifold reduction of (1,0) six dimensional supergravity
coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in
the adjoint of . The reduced theory is consistently truncated to 3D
supergravity coupled to bosonic and fermionic propagating degrees of freedom. This is in contrast to the
reduction in which there are also massive vector fields. The scalar manifold is
, and there is a gauge group. We then
construct Chern-Simons three dimensional gauged supergravity with scalar
manifold and
explicitly show that this theory is on-shell equivalent to the Yang-Mills
gauged supergravity theory obtained from the reduction,
after integrating out the scalars and gauge fields corresponding to the
translational symmetries .Comment: 24 pages, no figures, references added and typos correcte
N=8 matter coupled AdS_3 supergravities
Following the recent construction of maximal (N=16) gauged supergravity in
three dimensions, we derive gauged D=3, N=8 supergravities in three dimensions
as deformations of the corresponding ungauged theories with scalar manifolds
SO(8,n)/(SO(8)x SO(n)). As a special case, we recover the N=(4,4) theories with
local SO(4) = SO(3)_L x SO(3)_R, which reproduce the symmetries and massless
spectrum of D=6, N=(2,0) supergravity compactified on AdS_3 x S^3.Comment: 11 pages, LaTeX2
Unification of Weak and Hypercharge Interactions at the TeV Scale
A realistic SU(3)_C x SU(3)_W unified theory is constructed with a TeV sized
extra dimension compactified on the orbifold S_1/Z_2, leaving only the standard
model gauge group SU(3)_C x SU(2)_L x U(1)_Y unbroken in the low energy 4D
theory. The Higgs doublets are zero modes of bulk SU(3)_W triplets and serve to
normalize the hypercharge generator, apparently giving a tree-level prediction
for the weak mixing angle: \sin^2\theta = 1/4. The orbifold boundary conditions
imply a restricted set of SU(3)_W gauge transformations: at an orbifold fixed
point only the transformations of SU(2)_L x U(1)_Y are operative. This allows
quarks to be located at this fixed point, overcoming the longstanding problem
of how to incorporate matter in a unified SU(3)_W theory. However, in general
this local, explicit breaking of SU(3)_W symmetry, necessary for including
quarks into the theory, destroys the tree-level prediction for the weak mixing
angle. This apparent contradiction is reconciled by making the volume of the
extra dimension large, diluting the effects of the local SU(3)_W violation. In
the case that the electroweak theory is strongly coupled at the cutoff scale of
the effective theory, radiative corrections to the weak mixing angle can be
reliably computed, and used to predict the scale of compactification: 1 - 2 TeV
without supersymmetry, and in the region of 3 - 6 TeV for a supersymmetric
theory. The experimental signature of electroweak unification into SU(3)_W is a
set of ``weak partners'' of mass 1/2R, which are all electrically charged and
are expected to be accessible at LHC. These include weak doublets of gauge
particles of electric charge (++,+), and a charged scalar. When pair produced,
they yield events containing multiple charged leptons, missing large transverse
energy and possibly Higgs and electroweak gauge bosons.Comment: 13 pages, LaTeX, note added on charge quantizatio
Supersymmetry and Strongly Coupled Gauge Theories
I briefly review how supersymmetry helps in the extraction of exact
nonperturbative information from field theories, and then discuss some open
problems in strongly coupled gauge theories. (Talk given at ``30 Years of
Supersymmetry'' symposium in Minneapolis, Minnesota on October 15, 2000.)Comment: 8 pages, 2 figure
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