859 research outputs found
Duality and Dynamical Supersymmetry Breaking in with a Spinor
We study supersymmetric chiral gauge theories with a
single spinor representation and vector representations. We present a dual
description in terms of an supersymmetric chiral gauge
theory with a symmetric tensor, one fundamental and antifundamental
representations. The theory with breaks supersymmetry at
strong coupling; we study how this arises at weak coupling in the dual theory,
which is a spontaneously broken gauge theory. Also, we recover various known
dualities, find new dual pairs and generate new examples of dynamical
supersymmetry breaking.Comment: 9 pages, uses harvmac, no figur
Supersymmetry Breaking and Duality in SU(N)xSU(N-M) Theories
We consider a class of N=1 supersymmetric Yang-Mills theories, with gauge
group SU(N)xSU(N - M) and fundamental matter content. Duality plays an
essential role in analyzing the nonperturbative infrared dynamics of these
models. We find that Yukawa couplings drive these theories into the confining
phase, and show how the nonperturbative superpotentials arise in the dual
picture. We show that the odd-N, M = 2 models with an appropriate tree-level
superpotential break supersymmetry.Comment: 12p., LaTeX; some typos corrected, version to appear in Phys. Lett.
Chiral duals of non-chiral SUSY gauge theories
We study N=1 SUSY gauge theories in four dimensions with gauge group Spin(7) and N_f flavors of quarks in the spinorial representation. We find that in the range 6< N_f < 15, this theory has a long distance description in terms of an SU(N_f-4) gauge theory with a symmetric tensor and N_f antifundamentals. As a spin-off, we obtain by deforming along a flat direction a dual description of the theories based on the exceptional gauge group G_2 with N_f fundamental flavors of quarks
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
Duality in SUSY with an Antisymmetric Tensor
We present a dual description for supersymmetric gauge theory with an
antisymmetric tensor and fundamentals, and no superpotential. This duality is
derived from the dualities of Seiberg. Under a perturbation of the
superpotential, the dual theory breaks supersymmetry at tree level.Comment: 8 pages, uses harvmac, no figure
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
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
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