49 research outputs found
Brane Configurations for Nonsupersymmetric Meta-Stable Vacua in SQCD with Adjoint Matter
We present the configurations of intersecting branes in type IIA string
theory corresponding to the meta-stable supersymmetry breaking
vacua(hep-th/0608063) in the four-dimensional N=1 supersymmetric Yang-Mills
theory coupled massive flavors with adjoint matter where the superpotential has
three deformed terms.Comment: 15pp, 3 figures; The last two sentences in page 7 corrected; The last
figure added;improved pages 10 and 11;figures corrected;the references to
colors improved in the text and to appear in CQ
Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves
We give dual interpretations of Seiberg-Witten and Dijkgraaf-Vafa (or matrix
model) curves in n=1 supersymmetric U(N) gauge theory. This duality
interchanges the rank of the gauge group with the degree of the superpotential;
moreover, the constraint of having at most log-normalizable deformations of the
geometry is mapped to a constraint in the number of flavors N_f < N in the dual
theory.Comment: Latex2e, 22 pages, 2 figure
More on N=1 Matrix Model Curve for Arbitrary N
Using both the matrix model prescription and the strong-coupling approach, we
describe the intersections of n=0 and n=1 non-degenerated branches for quartic
(polynomial of adjoint matter) tree-level superpotential in N=1 supersymmetric
SO(N)/USp(2N) gauge theories with massless flavors. We also apply the method to
the degenerated branch. The general matrix model curve on the two cases we
obtain is valid for arbitrary N and extends the previous work from
strong-coupling approach. For SO(N) gauge theory with equal massive flavors, we
also obtain the matrix model curve on the degenerated branch for arbitrary N.
Finally we discuss on the intersections of n=0 and n=1 non-degenerated branches
for equal massive flavors.Comment: 36pp; to appear in JHE
Adding Fundamental Matter to ``Chiral Rings and Anomalies in Supersymmetric Gauge Theory''
We consider a supersymmetric U(N) gauge theory with matter fields in the
adjoint, fundamental and anti-fundamental representations. As in the framework
which was put forward by Dijkgraaf and Vafa, this theory can be described by a
matrix model. We analyze this theory along the lines of [F. Cachazo, M.
Douglas, N.S. and E. Witten, ``Chiral Rings and Anomalies in Supersymmetric
Gauge Theory'' hep-th/0211170] and show the equivalence of the gauge theory and
the matrix model. In particular, the anomaly equations in the gauge theory is
identified with the loop equations in the matrix model.Comment: 14 page
Mean-field Approach to the Derivation of Baryon Superpotential from Matrix Model
We discuss how to obtain the superpotential of the baryons and mesons for
SU(N) gauge theories with N flavour matter fields from matrix integral. We
apply the mean-field approximation for the matrix integral. Assuming the planar
limit of the self-consistency equation, we show that the result almost agrees
with the field theoretical result.Comment: rev2. ref. and related comments included, typos correcte
Adding flavor to Dijkgraaf-Vafa
We study matrix models related via the correspondence of Dijkgraaf and Vafa
to supersymmetric gauge theories with matter in the fundamental. As in
flavorless examples, measure factors of the matrix integral reproduce
information about R-symmetry violation in the field theory. The models, studied
previously as models of open strings, exhibit a large-M phase transition as the
number of flavors is varied. This is the matrix model's manifestation of the
end of asymptotic freedom. Using the relation to a quiver gauge theory, we
extract the effective glueball superpotential and Seiberg-Witten curve from the
matrix model.Comment: 15 pages, harvmac; improved analysis of the healing of cuts, added
calculation of superpotential, improved referencing and notatio
Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
We extend the results of Cachazo, Seiberg and Witten to N=1 supersymmetric
gauge theories with gauge groups SO(2N), SO(2N+1) and Sp(2N). By taking the
superpotential which is an arbitrary polynomial of adjoint matter \Phi as a
small perturbation of N=2 gauge theories, we examine the singular points
preserving N=1 supersymmetry in the moduli space where mutually local monopoles
become massless. We derive the matrix model complex curve for the whole range
of the degree of perturbed superpotential. Then we determine a generalized
Konishi anomaly equation implying the orientifold contribution. We turn to the
multiplication map and the confinement index K and describe both Coulomb branch
and confining branch. In particular, we construct a multiplication map from
SO(2N+1) to SO(2KN-K+2) where K is an even integer as well as a multiplication
map from SO(2N) to SO(2KN-2K+2) (K is a positive integer), a map from SO(2N+1)
to SO(2KN-K+2) (K is an odd integer) and a map from Sp(2N) to Sp(2KN+2K-2).
Finally we analyze some examples which show some duality: the same moduli space
has two different semiclassical limits corresponding to distinct gauge groups.Comment: 55pp; two paragraphs in page 19 added to clarify the relation between
confinement index and multiplication map index, refs added and to appear in
JHEP; Konishi anomaly equations corrected and some comments on the
degenerated cases for SO(7) and SO(8) adde
Meta-Stable Brane Configurations with Seven NS5-Branes
We present the intersecting brane configurations consisting of NS-branes,
D4-branes(and anti D4-branes) and O6-plane, of type IIA string theory
corresponding to the meta-stable nonsupersymmetric vacua in four dimensional
N=1 supersymmetric SU(N_c) x SU(N_c') x SU(N_c'') gauge theory with a symmetric
tensor field, a conjugate symmetric tensor field and bifundamental fields. We
also describe the intersecting brane configurations of type IIA string theory
corresponding to the nonsupersymmetric meta-stable vacua in the above gauge
theory with an antisymmetric tensor field, a conjugate symmetric tensor field,
eight fundamental flavors and bifundamentals. These brane configurations
consist of NS-branes, D4-branes(and anti D4-branes), D6-branes and O6-planes.Comment: 34pp, 9 figures; Improved the draft and added some footnotes; Figure
1, footnote 7 and captions of Figures 7,8,9 added or improved and to appear
in CQ
Exact Mesonic Vacua From Matrix Models
We investigate in detail the structure of mesonic vacua of N=1 U(Nc)
supersymmetric gauge theory with Nf flavors from the matrix model. We show that
the Witten index from the matrix model calculation agrees with a result from
field theoretical analysis. We also discuss the relationship between a
diagrammatic summation and direct matrix integration with insertion of a
variable changing delta function. Using this formalism, we obtain the quantum
moduli space and evidence of the Seiberg duality from the matrix models.Comment: 14 pages, 1 figure, typos corrected and note on the quamtum moduli
space adde