726 research outputs found
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
Duality between simple-group gauge theories and some applications
In this paper we investigate N=1 supersymmetric gauge theories with a product
gauge group. By using smoothly confining dynamics, we can find new dualities
which include higher-rank tensor fields, and in which the dual gauge group is
simple, not a product. Some of them are dualities between chiral and non-chiral
gauge theories. We also discuss some applications to dynamical supersymmetry
breaking phenomena and new confining theories with a tree-level superpotential.Comment: 33 pages, LaTeX, references added, version to appear in PR
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
A Comment on Zero-brane Quantum Mechanics
We consider low energy, non-relativistic scattering of two Dirichlet
zero-branes as an exercise in quantum mechanics. For weak string coupling and
sufficiently small velocity, the dynamics is governed by an effective U(2)
gauge theory in 0+1 dimensions. At low energies, D-brane scattering can
reliably probe distances much shorter than the string scale. The only length
scale in the quantum mechanics problem is the eleven dimensional Planck length.
This provides evidence for the role of scales shorter than the string length in
the weakly coupled dynamics of type IIA strings.Comment: 9 pages, harvmac, improved treatment of 2+1 proble
Dual Descriptions of SO(10) SUSY Gauge Theories with Arbitrary Numbers of Spinors and Vectors
We examine the low energy structure of N=1 supersymmetric SO(10) gauge theory
with matter chiral superfields in N_Q spinor and N_f vector representations. We
construct a dual to this model based upon an SU(N_f+2N_Q-7) x Sp(2N_Q-2) gauge
group without utilizing deconfinement methods. This product theory generalizes
all previously known Pouliot-type duals to SO(N_c) models with spinor and
vector matter. It also yields large numbers of new dual pairs along various
flat directions. The dual description of the SO(10) theory satisfies multiple
consistency checks including an intricate renormalization group flow analysis
which links it with Seiberg's duality transformations. We discuss its
implications for building grand unified theories that contain all Standard
Model fields as composite degrees of freedom.Comment: 36 pages, harvmac and tables macros, 1 figur
Moduli in Exceptional SUSY Gauge Theories
The low energy structures of N=1 supersymmetric models with E_6, F_4 and E_7
gauge groups and fundamental irrep matter contents are studied herein. We
identify sets of gauge invariant composites which label all flat directions in
the confining/Higgs phases of these theories. The impossibility of mapping
several of these primary operators rules out previously conjectured exceptional
self duals reported in the literature.Comment: 20 pages, harvmac and tables macro
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
Duality and Superconvergence Relation in Supersymmetric Gauge Theories
We investigate the phase structures of various N=1 supersymmetric gauge
theories including even the exceptional gauge group from the viewpoint of
superconvergence of the gauge field propagator. Especially we analyze in detail
whether a new type of duality recently discovered by Oehme in gauge
theory coupled to fundamental matter fields can be found in more general gauge
theories with more general matter representations or not. The result is that in
the cases of theories including matter fields in only the fundamental
representation, Oehme's duality holds but otherwise it does not. In the former
case, superconvergence relation might give good criterion to describe the
interacting non-Abelian Coulomb phase without using some information from dual
magnetic theory.Comment: 20 pages, LaTe
Rigidly Supersymmetric Gauge Theories on Curved Superspace
In this note we construct rigidly supersymmetric gauged sigma models and
gauge theories on certain Einstein four-manifolds, and discuss constraints on
these theories. In work elsewhere, it was recently shown that on some
nontrivial Einstein four-manifolds such as AdS, N=1 rigidly supersymmetric
sigma models are constrained to have target spaces with exact K\"ahler forms.
Similarly, in gauged sigma models and gauge theories, we find that
supersymmetry imposes constraints on Fayet-Iliopoulos parameters, which have
the effect of enforcing that K\"ahler forms on quotient spaces be exact. We
also discuss general aspects of universality classes of gauged sigma models, as
encoded by stacks, and also discuss affine bundle structures implicit in these
constructions.Comment: 23 pages; references added; more discussion added; v4: typos fixe
- …