39 research outputs found
N=1 Super Yang-Mills Domain Walls via The Extended Veneziano Yankielowicz Theory
We investigate the vacuum structure of pure SU(N) N=1 super Yang-Mills. The
theory is expected to possess N vacua with associated domain walls. We show
that the newly extended version of the low energy effective Lagrangian for
super Yang-Mills supports the BPS domain wall solutions associated with any two
vacua aligned with the origin of the moduli space. For the two color theory the
domain wall analysis is complete. We also find new non BPS domain wall
solutions connecting any two vacua of the underling SU(N) super Yang-Mills
theory not necessarely aligned. When two vacua are aligned with the origin of
the moduli space these solutions are the BPS ones. We also discuss the generic
BPS domain wall solutions connecting any two vacua within the extended
Veneziano-Yankielowicz theory.Comment: 25 pages, 5 figures plain Late
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
A note on the dual of N=1 super Yang-Mills theory
We refine the dictionary of the gauge/gravity correspondence realizing N=1
super Yang-Mills by means of D5-branes wrapped on a resolved Calabi-Yau space.
This is done by fixing an ambiguity on the correct interpretation of the
holographic dual of the running gauge coupling and amounts to identify a
specific 2-cycle in the dual ten-dimensional supergravity background. In doing
so, we also discuss the role played in this context by gauge transformations in
the relevant seven-dimensional gauged supergravity. While all nice properties
of the duality are maintained, this modification of the dictionary has some
interesting physical consequences and solves a puzzle recently raised in the
literature. In this refined framework, it is also straightforward to see how
the correspondence naturally realizes a geometric transition.Comment: 11 pages, latex; minor changes and typos correcte
Gauge theories from wrapped and fractional branes
We compare two applications of the gauge/gravity correspondence to a non
conformal gauge theory, based respectively on the study of D-branes wrapped on
supersymmetric cycles and of fractional D-branes on orbifolds. We study two
brane systems whose geometry is dual to N=4, D=2+1 super Yang-Mills theory, the
first one describing D4-branes wrapped on a two-sphere inside a Calabi-Yau
two-fold and the second one corresponding to a system of fractional
D2/D6-branes on the orbifold R^4/Z_2. By probing both geometries we recover the
exact perturbative running coupling constant and metric on the moduli space of
the gauge theory. We also find a general expression for the running coupling
constant of the gauge theory in terms of the "stringy volume" of the two-cycle
which is involved in both types of brane systems.Comment: AMS-LaTeX, 35 pages, no figures. Minor typos corrected, version to
appear in NP
Index for Three Dimensional Superconformal Field Theories and Its Applications
We review aspects of superconformal indices in three dimension. Three
dimensional superconformal indices can be exactly computed by using
localization method including monopole contribution, and can be applied to
provide evidences for mirror duality, AdS_4/CFT_3 correspondence and global
symmetry enhancement of strongly coupled gauge theories. After reviewing, we
discuss the possibility of global symmetry enhancement in a finite rank of
gauge group.Comment: 14 pages, Proceedings of the Seventh International Conference Quantum
Theory and Symmetries (QTS-7) in Prague, Czech Republic, August, 2011; v2:
minor modifications, discussion of supersymmetry enhancement of abelian ABJM
theory by using an index were adde
On the M-theory description of supersymmetric gluodynamics
We study the stringy description of N=1 supersymmetric SU(N) gauge theory on
R^{1,2} X S^1. Our description is based on the known Klebanov-Strassler and
Maldacena-Nunez solutions, properly modified to account for the compact
dimension. The presence of this circle turns out to be a non trivial
modification and it leads us to consider the up-lifted eleven dimensional
solution. We discuss some of its properties. Perhaps the most interesting one
is that extra BPS M-branes are present. These generate a non-perturbative
superpotential that we explicitly compute. Our findings, besides their interest
in the gauge-string correspondence, may also have applications in the
cosmological KKLT and KKLMMT scenarios.Comment: 24 pages; typos corrected and references adde
Factorization of Seiberg-Witten Curves with Fundamental Matter
We present an explicit construction of the factorization of Seiberg-Witten
curves for N=2 theory with fundamental flavors. We first rederive the exact
results for the case of complete factorization, and subsequently derive new
results for the case with breaking of gauge symmetry U(Nc) to U(N1)xU(N2). We
also show that integrality of periods is necessary and sufficient for
factorization in the case of general gauge symmetry breaking. Finally, we
briefly comment on the relevance of these results for the structure of N=1
vacua.Comment: 24 pages, 2 figure
N=1 and N=2 Super Yang-Mills theories from wrapped branes
We consider supergravity solutions of D5 branes wrapped on supersymmetric
2-cycles and use them to discuss relevant features of four-dimensional N=1 and
N=2 super Yang-Mills theories with gauge group SU(n). In particular in the N=1
case, using a gravitational dual of the gaugino condensate, we obtain the
complete NSVZ beta-function. We also find non-perturbative corrections
associated to fractional instantons with charge 2/n. These non-perturbative
effects modify the running of the coupling constant which remains finite even
at small scales in a way that resembles to the soft confinement scenario of
QCD.Comment: Latex file, 30 pages; several references adde