2,462 research outputs found
Summary of Results in N=1 Supersymmetric SU(2) Gauge Theories
We summarize some results in 4d, N=1 supersymmetric SU(2) gauge theories: the
exact effective superpotentials, the vacuum structure, and the exact effective
Abelian couplings for arbitrary bare masses and Yukawa couplings.Comment: 13 page
Duality and Exact Results in Product Group Theories
We study the non-perturbative behavior of some N=1 supersymmetric
product-group gauge theories with the help of duality. As a test case we
investigate an SU(2)xSU(2) theory in detail. Various dual theories are
constructed using known simple-group duality for one group or both groups in
succession. Several stringent tests show that the low-energy behavior of the
dual theories agrees with that of the electric theory. When the theory is in
the confining phase we calculate the exact superpotential. Our results strongly
suggest that, in general, dual theories for product groups can be constructed
in this manner, by using simple-group duality for both groups. Turning to a
class of theories with SU(N)xSU(M) gauge symmetry we study the renormalization
group flows in the space of the two gauge couplings and show that they are
consistent with the absence of phase transitions. Finally, we show that a
subset of these theories, with SU(N)xSU(N-1) symmetry break supersymmetry
dynamically.Comment: 48 pages, Latex, 1 .ps figure, psfig.sty included; one reference
added, revised discussion of SUSY breaking, version to be published in Nucl.
Phys.
Dynamical Supersymmetry Breaking versus Run-away behavior in Supersymmetric Gauge Theories
We consider Dynamical Supersymmetry Breaking (DSB) in models with classical
flat directions. We analyze a number of examples, and develop a systematic
approach to determine if classical flat directions are stabilized in the full
quantum theory, or lead to run-away behavior. In some cases pseudo-flat
directions remain even at the quantum level before taking into account
corrections to the K\"ahler potential. We show that in certain limits these
corrections are calculable. In particular, we find that in the
Intriligator-Thomas and its generalizations, a potential for moduli is
generated. Moreover, there is a region of the parameter space where K\"ahler
potential corrections lead to calculable (local) minima at large but finite
distance from the origin.Comment: 13 pages, uses harvmac; discussion of run-away behavior in model is clarifie
N=1 RG Flows, Product Groups, and a-Maximization
We explore new IR phenomena and dualities, arising for product groups, in the
context of N=1 supersymmetric gauge theories. The RG running of the multiple
couplings can radically affect each other. For example, an otherwise IR
interacting coupling can be driven to be instead IR free by an arbitrarily
small, but non-zero, initial value of another coupling. Or an otherwise IR free
coupling can be driven to be instead IR interacting by an arbitrarily small
non-zero initial value of another coupling. We explore these and other
phenomena in N=1 examples, where exact results can be obtained using
a-maximization. We also explore the various possible dual gauge theories, e.g.
by dualizing one gauge group with the other treated as a weakly gauged flavor
symmetry, along with previously proposed duals for the theories deformed by
A_k-type Landau-Ginzburg superpotentials. We note that this latter duality, and
all similar duality examples, always have non-empty superconformal windows,
within which both the electric and dual A_k superpotentials are relevant.Comment: 36 pages, 8 figure
Holomorphy and dynamical scales in supersymmetric gauge theories
New recent results in supersymmetric gauge theories based on holomorphy and
symmetry considerations are extended to the case where the gauge coupling
constant is given by the real part of a chiral superfield. We assume here that
its dynamics can be described by an effective quantum field theory. Then its
vacuum expectation value is a function of the other coupling constants, viewed
as chiral background superfields. This functional dependence can be determined
exactly and satisfies highly non-trivial consistency checks.Comment: 14 pages, LaTe
Exact Results and Duality for SP(2N) SUSY Gauge Theories with an Antisymmetric Tensor
We study supersymmetric Sp(2N) gauge theories with matter in the
antisymmetric tensor representation and F fundamentals. For F=6 we solve the
theory exactly in terms of confined degrees of freedom and a superpotential. By
adding mass terms we obtain the theories with F<6 which we find to exhibit a
host of interesting non-perturbative phenomena: quantum deformed moduli spaces
with N constraints, instanton-induced superpotentials and non-equivalent
disjoint branches of moduli spaces. We find a simple dual for F=8 and no
superpotential. We show how the F=4 and F=2 theories can be modified to break
supersymmetry spontaneously and point out that the Sp(6) theory with F=6 may be
very interesting for model builders.Comment: 15 pages, LaTe
More Results in Supersymmetric Gauge Theories
We present the exact effective superpotentials in , supersymmetric
gauge theories with triplets and doublets of matter
superfields. For the theories with a single triplet matter superfield we
present the exact gauge couplings for arbitrary bare masses and Yukawa
couplings.Comment: 9 page
Symplectic SUSY Gauge Theories with Antisymmetric Matter
We investigate the confining phase vacua of supersymmetric Sp(2\NC) gauge
theories that contain matter in both fundamental and antisymmetric
representations. The moduli spaces of such models with \NF=3 quark flavors
and \NA=1 antisymmetric field are analogous to that of SUSY QCD with
\NF=\NC+1 flavors. In particular, the forms of their quantum superpotentials
are fixed by classical constraints. When mass terms are coupled to
W_{(\NF=3,\NA=1)} and heavy fields are integrated out, complete towers of
dynamically generated superpotentials for low energy theories with fewer
numbers of matter fields can be derived. Following this approach, we deduce
exact superpotentials in and theories which cannot be
determined by symmetry considerations or integrating in techniques. Building
upon these simple symplectic group results, we also examine the ground state
structures of several and models. We
emphasize that the top-down approach may be used to methodically find dynamical
superpotentials in many other confining supersymmetric gauge theories.Comment: 21 pages, Revte
Superalgebras in Gauge Theories
supersymmetric gauge theories with global flavor symmetries contain a
gauge invariant W-superalgebra which acts on its moduli space of gauge
invariants. With adjoint matter, this superalgebra reduces to a graded Lie
algebra. When the gauge group is , with vector matter, it is a
W-algebra, and the primary invariants form one of its representation. The same
superalgebra exists in the dual theory, but its construction in terms of the
dual fields suggests that duality may be understood in terms of a charge
conjugation within the algebra. We extend the analysis to the gauge group
.Comment: Submitted to Phys. Letters B, 12 pages,tex, macros include
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
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