753 research outputs found
Pouliot Type Duality via a-Maximization
We study four-dimensional N=1 Spin(10) gauge theory with a single spinor and
vectors at the superconformal fixed point via the electric-magnetic duality and
a-maximization. When gauge invariant chiral primary operators hit the unitarity
bounds, we find that the theory with no superpotential is identical to the one
with some superpotential at the infrared fixed point. The auxiliary field
method in the electric theory offers a satisfying description of the infrared
fixed point, which is consistent with the better picture in the magnetic
theory. In particular, it gives a clear description of the emergence of new
massless degrees of freedom in the electric theory.Comment: 20 pages, 6 figures, harvmac, v2: minor corrections, v3: a note adde
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
Supersymmetric N=1 Spin(10) Gauge Theory with Two Spinors via a-Maximization
We give a detailed analysis of the superconformal fixed points of
four-dimensional N=1 supersymmetric Spin(10) gauge theory with two spinors and
vectors by using a-maximization procedure.Comment: 24 pages, 4 figures, harvma
A Solution to the Problem in Gauge-mediated Supersymmetry-breaking Models
We point out that a sector required to set the cosmological constant to zero
in gauge-mediated supersymmetry-breaking models naturally produces a
supersymmetry-invariant mass ( term) for Higgs doublets of the order of
the electroweak scale. Since this new sector preserves the supersymmetry, it
does not generate supersymmetry-breaking masses for the Higgs doublets and thus
the problem is solved.Comment: Latex fil
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
Instantons in Partially Broken Gauge Groups
We discuss the effects of instantons in partially broken gauge groups on the
low-energy effective gauge theory. Such effects arise when some of the
instantons of the original gauge group G are no longer contained in (or can not
be gauge rotated into) the unbroken group H. In cases of simple G and H, a good
indicator for the existence of such instantons is the ``index of embedding.''
However, in the general case one has to examine \pi_3(G/H) to decide whether
there are any instantons in the broken part of the gauge group. We give several
examples of supersymmetric theories where such instantons exist and leave their
effects on the low-energy effective theory.Comment: 31 pages, LaTeX, 3 figures include
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
Translational bioinformatics in the cloud: an affordable alternative
With the continued exponential expansion of publicly available genomic data and access to low-cost, high-throughput molecular technologies for profiling patient populations, computational technologies and informatics are becoming vital considerations in genomic medicine. Although cloud computing technology is being heralded as a key enabling technology for the future of genomic research, available case studies are limited to applications in the domain of high-throughput sequence data analysis. The goal of this study was to evaluate the computational and economic characteristics of cloud computing in performing a large-scale data integration and analysis representative of research problems in genomic medicine. We find that the cloud-based analysis compares favorably in both performance and cost in comparison to a local computational cluster, suggesting that cloud computing technologies might be a viable resource for facilitating large-scale translational research in genomic medicine
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