923 research outputs found
The Chiral Ring and the Periods of the Resolvent
The strongly coupled vacua of an N=1 supersymmetric gauge theory can be
described by imposing quantization conditions on the periods of the gauge
theory resolvent, or equivalently by imposing factorization conditions on the
associated N=2 Seiberg-Witten curve (the so-called strong-coupling approach).
We show that these conditions are equivalent to the existence of certain
relations in the chiral ring, which themselves follow from the fact that the
gauge group has a finite rank. This provides a conceptually very simple
explanation of why and how the strongly coupled physics of N=1 theories,
including fractional instanton effects, chiral symmetry breaking and
confinement, can be derived from purely semi-classical calculations involving
instantons only.Comment: 17 pages, 1 figure; v2: cosmetic change
Extending the Veneziano-Yankielowicz Effective Theory
We extend the Veneziano Yankielowicz (VY) effective theory in order to
account for ordinary glueball states. We propose a new form of the
superpotential including a chiral superfield for the glueball degrees of
freedom. When integrating it ``out'' we obtain the VY superpotential while the
N vacua of the theory naturally emerge. This fact has a counterpart in the
Dijkgraaf and Vafa geometric approach. We suggest a link of the new field with
the underlying degrees of freedom which allows us to integrate it ``in'' the VY
theory. We finally break supersymmetry by adding a gluino mass and show that
the Kahler independent part of the ``potential'' has the same form of the
ordinary Yang-Mills glueball effective potential.Comment: LaTeX, 20 page
Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories
Starting from the SYM quiver theory living on wrapped
branes around spheres of deformed ADE fibered
Calabi-Yau threefolds (CY3) and considering deformations using \textit{%
massive} vector multiplets, we explicitly build a new class of quiver gauge theories. In these models, the quiver gauge group is spontaneously broken down to and
Kahler deformations are shown to be given by the real part of the integral
form of CY3. We also give the superfield correspondence between the
quiver gauge models derived here and those constructed in
hep-th/0108120 using complex deformations. Others aspects of these two dual
supersymmetric field theories are discussed.Comment: 12 pages, 1 figur
On the Geometry of Matrix Models for N=1*
We investigate the geometry of the matrix model associated with an N=1 super
Yang-Mills theory with three adjoint fields, which is a massive deformation of
N=4. We study in particular the Riemann surface underlying solutions with
arbitrary number of cuts. We show that an interesting geometrical structure
emerges where the Riemann surface is related on-shell to the Donagi-Witten
spectral curve. We explicitly identify the quantum field theory resolvents in
terms of geometrical data on the surface.Comment: 17 pages, 2 figures. v2: reference adde
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