643 research outputs found
Systematic Study of Theories with Quantum Modified Moduli
We begin the process of classifying all supersymmetric theories with quantum
modified moduli. We determine all theories based on a single SU or Sp gauge
group with quantum modified moduli. By flowing among theories we have
calculated the precise modifications to the algebraic constraints that
determine the moduli at the quantum level. We find a class of theories, those
with a classical constraint that is covariant but not invariant under global
symmetries, that have a singular modification to the moduli, which consists of
a new branch.Comment: 21 pages, ReVTeX (or Latex, etc), corrected typos and cQMM discusio
The Seiberg-Witten prepotential and the Euler class of the reduced moduli space of instantons
The n-instanton contribution to the Seiberg-Witten prepotential of N=2
supersymmetric d=4 Yang Mills theory is represented as the integral of the
exponential of an equivariantly exact form. Integrating out an overall scale
and a U(1) angle the integral is rewritten as (4n-3) fold product of a closed
two form. This two form is, formally, a representative of the Euler class of
the Instanton moduli space viewed as a principal U(1) bundle, because its
pullback under bundel projection is the exterior derivative of an angular
one-form.Comment: LaTex, 15 page
Molecular imaging of metabolism in cancer metastasis
Cancer progression is characterised by extensive metabolic reprogramming. Renewed enthusiasm in this field has been sparked in part by the realisation that metabolic pathways, oncogenes and tumour suppressors are intimately linked and regulate tumour growth and metastasis through complex reciprocal interactions. The identification of key pathways and enzymes regulating metabolism in cancer cells provides new opportunities for cancer therapy. This has motivated the development of several specific inhibitors targeting metabolic pathways and their therapeutic evaluation in pre-clinical models or in cancer patients. The unravelling of metabolic pathways associated with cancer progression has also highlighted the extensive metabolic heterogeneity that exists between, and within, each cancer type as well as between metastatic sites. The translation of these findings into personalised therapy remains a considerable challenge. To this end, the use of positron emission tomography to non-invasively visualise tumour metabolism is likely to facilitate the implementation of and assessment of new targeted therapies. Here, we briefly review the key metabolic changes associated with cancer progression and discuss recent advances in the field of positron emission tomography for metabolic imaging of cancer and their potential to improve the clinical management of cancer patients
A Systematic Approach to Confinement in N=1 Supersymmetric Gauge Theories
We give necessary criteria for N=1 supersymmetric theories to be in a
smoothly confining phase without chiral symmetry breaking and with a
dynamically generated superpotential. Using our general arguments we find all
such confining SU and Sp theories with a single gauge group and no tree level
superpotential.Comment: 8 pages, LaTe
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
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
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
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
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
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