879 research outputs found
N=1 Supersymmetric Product Group Theories in the Coulomb Phase
We study the low-energy behavior of N=1 supersymmetric gauge theories with
product gauge groups SU(N)^M and M chiral superfields transforming in the
fundamental representation of two of the SU(N) factors. These theories are in
the Coulomb phase with an unbroken U(1)^(N-1) gauge group. For N >= 3, M >= 3
the theories are chiral. The low-energy gauge kinetic functions can be obtained
from hyperelliptic curves which we derive by considering various limits of the
theories. We present several consistency checks of the curves including
confinement through the addition of mass perturbations and other limits.Comment: 22 pages, LaTeX, minor changes. Eqs. (20) and (42) correcte
Supersymmetry Breaking, R-Symmetry Breaking and Metastable Vacua
Models of spontaneous supersymmetry breaking generically have an R-symmetry,
which is problematic for obtaining gaugino masses and avoiding light R-axions.
The situation is improved in models of metastable supersymmetry breaking, which
generically have only an approximate R-symmetry. Based on this we argue, with
mild assumptions, that metastable supersymmetry breaking is inevitable. We also
illustrate various general issues regarding spontaneous and explicit R-symmetry
breaking, using simple toy models of supersymmetry breaking.Comment: 23 page
A Sequence of Duals for Sp(2N) Supersymmetric Gauge Theories with Adjoint Matter
We consider supersymmetric Sp(2N) gauge theories with F matter fields in the
defining representation, one matter field in the adjoint representation, and no
superpotential. We construct a sequence of dual descriptions of this theory
using the dualities of Seiberg combined with the ``deconfinement'' method
introduced by Berkooz. Our duals hint at a new non-perturbative phenomenon that
seems to be taking place at asymptotically low energies in these theories: for
small F some of the degrees of freedom form massless, non-interacting bound
states while the theory remains in an interacting non-Abelian Coulomb phase.
This phenomenon is the result of strong coupling gauge dynamics in the original
description, but has a simple classical origin in the dual descriptions. The
methods used for constructing these duals can be generalized to any model
involving arbitrary 2-index tensor representations of Sp(2N), SO(N), or SU(N)
groups.Comment: version (with additional references) to appear in Phys. Rev. D, 20
pages, LaTeX, one embedded eps figur
More on Chiral-Nonchiral Dual Pairs
Expanding upon earlier work of Pouliot and Strassler, we construct chiral
magnetic duals to nonchiral supersymmetric electric theories based upon SO(7),
SO(8) and SO(9) gauge groups with various numbers of vector and spinor matter
superfields. Anomalies are matched and gauge invariant operators are mapped
within each dual pair. Renormalization group flows along flat directions are
also examined. We find that confining phase quantum constraints in the electric
theories are recovered from semiclassical equations of motion in their magnetic
counterparts when the dual gauge groups are completely Higgsed.Comment: 25 pages, harvmac and tables macros, 1 figur
Chirally Symmetric Phase of Supersymmetric Gluodynamics
We argue that supersymmetric gluodynamics (theory of gluons and gluinos) has
a condensate-free phase. Unlike the standard phase, the discrete axial symmetry
of the Lagrangian is unbroken in this phase, and the gluino condensate does not
develop. Extra unconventional vacua are supersymmetric and are characterized by
the presence of (bosonic and fermionic) massless bound states. A set of
arguments in favor of the conjecture includes: (i) analysis of the effective
Lagrangian of the Veneziano-Yankielowicz type which we amend to properly
incorporate all symmetries of the model; (ii) consideration of an unsolved
problem with the Witten index; (iii) interpretation of a mismatch between the
strong-coupling and weak coupling instanton calculations of the gluino
condensate detected previously. Impact on Seiberg's results is briefly
discussed.Comment: Minor typos corrected; final version to appear in Phys. Rev.
Color Superconductivity from Supersymmetry
A supersymmetric composite model of color superconductivity is proposed.
Quarks and diquarks are dynamically generated as composite fields by a newly
introduced strong gauge dynamics. It is shown that the condensation of the
scalar component of the diquark supermultiplet occurs when the chemical
potential becomes larger than some critical value. We believe that the model
well captures aspects of the diquark condensate behavior and helps our
understanding of the diquark dynamics in real QCD. The results obtained here
might be useful when we consider a theory composed of quarks and diquarks.Comment: 4 pages, 2 figures, An error in Eq.(10) correcte
On the Z_2 Monopole of Spin(10) Gauge Theories
An "expanded" description is introduced to examine the spinor-monopole
identification proposed by Strassler for four-dimensional = 1
supersymmetric Spin(10) gauge theories with matter in F vector and N spinor
representations. It is shown that a Z_2 monopole in the "expanded" theory is
associated with massive spinors of the Spin(10) theory. For N=2, two spinor
case, we confirm this identification by matching the transformation properties
of the two theories under SU(2) flavor symmetry. However, for N 3, the
transformation properties are not matched between the spinors and the monopole.
This disagreement might be due to the fact that the SU(N) flavor symmetry of
the Spin(10) theory is partially realized as an SU(2) symmetry in the
"expanded" theory.Comment: 16 pages, LaTex, no figur
Renormalization Group Invariance of Exact Results in Supersymmetric Gauge Theories
We clarify the notion of Wilsonian renormalization group (RG) invariance in
supersymmetric gauge theories, which states that the low-energy physics can be
kept fixed when one changes the ultraviolet cutoff, provided appropriate
changes are made to the bare coupling constants in the Lagrangian. We first
pose a puzzle on how a quantum modified constraint (such as Pf(Q^i Q^j) =
\Lambda^{2(N+1)} in SP(N) theories with N+1 flavors) can be RG invariant, since
the bare fields Q^i receive wave function renormalization when one changes the
ultraviolet cutoff, while we naively regard the scale \Lambda as RG invariant.
The resolution is that \Lambda is not RG invariant if one sticks to canonical
normalization for the bare fields as is conventionally done in field theory. We
derive a formula for how \Lambda must be changed when one changes the
ultraviolet cutoff. We then compare our formula to known exact results and show
that their consistency requires the change in \Lambda we have found. Finally,
we apply our result to models of supersymmetry breaking due to quantum modified
constraints. The RG invariance helps us to determine the effective potential
along the classical flat directions found in these theories. In particular, the
inverted hierarchy mechanism does not occur in the original version of these
models.Comment: LaTeX, 26 page
Nuclear Physics in a Susy Universe
We refine a previous zeroth order analysis of the nuclear properties of a
supersymmetric (susy) universe with standard model particle content plus
degenerate susy partners. No assumptions are made concerning the Higgs
structure except we assume that the degenerate fermion/sfermion masses are
non-zero. This alternate universe has been dubbed Susyria and it has been
proposed that such a world may exist with zero vacuum energy in the string
landscape.Comment: 8 pages, 1 figur
D-term Dynamical Supersymmetry Breaking Generating Split N=2 Gaugino Masses of Mixed Majorana-Dirac Type
Under a few mild assumptions, N=1 supersymmetry in four dimensions is shown
to be spontaneously broken in a self-consistent Hartree-Fock approximation of
BCS/NJL type to one-loop off-shell, in the gauge theory specified by the gauge
kinetic function and the superpotential of adjoint chiral superfields, in
particular, that possesses N=2 extended supersymmetry spontaneously broken to
N=1 at tree level. The N=2 gauginos receive mixed Majorana-Dirac masses and are
split. We derive an explicit form of the gap equation, showing the existence of
a nontrivial solution.Comment: 4 pages, the paper extended (a numerical plot of the solution to the
gap equation, an estimate of the decay rate of the metastable vacuum, and
discussion on nonvanishing term induced by the D term dynamical
supersymmetry breaking diven), references adde
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