2,657 research outputs found
Two Phases of Supersymmetric Gluodynamics
We argue that supersymmetric gluodynamics has two phases with equivalent
infrared behavior, one of which is asymptotically free and another one is
superstrongly coupled in the ultraviolet domain.Comment: Plain LaTeX, 6 pages, 2 figures in a uuencoded file Final version
which appeared in Phys. Rev. Let.75;2085-2087,1995 Corrected references and
some Comments with no effect on conclusion
The Dual of Supersymmetric SU(2k) with an Antisymmetric Tensor and Composite Dualities
We suggest a dual to an Susy gauge theory containing an
antisymmetric tensor, \nf fundamentals and \nfb anti-fundamentals. This is
done by expanding the theory into an equivalent description with two gauge
groups and then performing known duality tranformations on each gauge group
separately. Chiral operators, mass perturbations and flat directions are
discussed.Comment: 17 pages, Harvma
The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
We present an exact description of the metric on the moduli space of vacua
and the spectrum of massive states for four dimensional N=2 supersymmetric
SU(n) gauge theories. The moduli space of quantum vacua is identified with the
moduli space of a special set of genus n-1 hyperelliptic Riemann surfaces.Comment: 11 pages, Revtex, 2 figures. Reference adde
The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
We analyze in detail the moduli space of vacua of N=2 SUSY QCD with n_c
colors and n_f flavors. The Coulomb branch has submanifolds with non-Abelian
gauge symmetry. The massless quarks and gluons at these vacua are smoothly
connected to the underlying elementary quarks and gluons. Upon breaking N=2 by
an N=1 preserving mass term for the adjoint field the theory flows to N=1 SUSY
QCD. Some of the massless quarks and gluons on the moduli space of the N=2
theory become the magnetic quarks and gluons of the N=1 theory. In this way we
derive the duality in N=1 SUSY QCD by identifying its crucial building
blocks---the magnetic degrees of freedom---using only semiclassical physics and
the non-renormalization theorem.Comment: 46 pages harvmac, 3 figures included using epsf.te
On the Low-Energy Effective Action of N=2 Supersymmetric Yang-Mills Theory
We investigate the perturbative part of Seiberg's low-energy effective action
of N=2 supersymmetric Yang-Mills theory in Wess-Zumino gauge in the
conventional effective field theory technique. Using the method of constant
field approximation and restricting the effective action with at most two
derivatives and not more than four-fermion couplings, we show some features of
the low-energy effective action given by Seiberg based on anomaly and
non-perturbative -function arguments.Comment: 27 pages, RevTex, no figure
The Moduli Space and Monodromies of the Supersymmetric Yang-Mills Theory with any Lie Gauge Groups
We propose a unified scheme for finding the hyperelliptic curve of SUSY
YM theory with any Lie gauge groups. Our general scheme gives the well known
results for classical gauge groups and exceptional group. In particular,
we present the curve for the exceptional gauge groups and
check consistency condition for them. The exact monodromies and the dyon
spectrum of these theories are determined. We note that for any Lie gauge
groups, the exact monodromies could be obtained only from the Cartan matrix.Comment: 17 pages, LaTeX fil
Geodesics and BPS States in N=2 Supersymmetric QCD
Conformal mapping techniques are used to determine analytically the geodesics
on the Seiberg-Witten Riemann surface which correspond to the BPS dyon states
in N=2 SUSY QCD with gauge group SU(2) and up to three flavors of massless
fundamental matter. The results are exact for zero and two flavors, and
approximate in the weak-coupling limit for one and three flavors. The presence
of states of magnetic charge 2, in the three-flavor case only, is confirmed.Comment: 14 pages, 6 eps figures, LaTeX2e using packages amsmath, graphicx,
float, captio
Towards Mirror Symmetry as Duality for Two-Dimensional Abelian Gauge Theories
Superconformal sigma models with Calabi--Yau target spaces described as
complete intersection subvarieties in toric varieties can be obtained as the
low-energy limit of certain abelian gauge theories in two dimensions. We
formulate mirror symmetry for this class of Calabi--Yau spaces as a duality in
the abelian gauge theory, giving the explicit mapping relating the two
Lagrangians. The duality relates inequivalent theories which lead to isomorphic
theories in the low-energy limit. This formulation suggests that mirror
symmetry could be derived using abelian duality. The application of duality in
this context is complicated by the presence of nontrivial dynamics and the
absence of a global symmetry. We propose a way to overcome these obstacles,
leading to a more symmetric Lagrangian. The argument, however, fails to produce
a derivation of the conjecture.Comment: 14 pages, latex, no figure
Nonholomorphic Corrections to the One-Loop N=2 Super Yang-Mills Action
In addition to the familiar contribution from a holomorphic function \FF,
the K\"ahler potential of the scalars in the nonabelian vector multiplet
receives contributions from a real function \HH. We determine the latter at
the one-loop level, taking into account both supersymmetric matter and gauge
loops. The function \HH characterizes the four-point coupling of the
vector-multiplet vectors for constant values of their scalar superpartners. We
discuss the consequences of our results.Comment: 11 pages, Latex, one Postscript figure. Corrections to equation (24):
1 missing term added and one pair of indices interchange
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