515 research outputs found
Elaborations on the String Dual to N=1 SQCD
In this paper we make further refinements to the duality proposed between N=1
SQCD and certain string (supergravity plus branes) backgrounds, working in the
regime of comparable large number of colors and flavors. Using the string
theory solutions, we predict different field theory observables and phenomena
like Seiberg duality, gauge coupling and its running, the behavior of Wilson
and 't Hooft loops, anomalous dimensions of the quark superfields, quartic
superpotential coupling and its running, continuous and discrete anomaly
matching. We also give evidence for the smooth interpolation between higgsed
and confining vacua. We provide several matchings between field theory and
string theory computations.Comment: 44 pages, 6 figures. References added, minor rewritings, published
versio
N=1 SQCD-like theories with N_f massive flavors from AdS/CFT and beta functions
We study new supergravity solutions related to large-
supersymmetric gauge field theories with a large number of massive
flavors. We use a recently proposed framework based on configurations with
color D5 branes and a distribution of flavor D5 branes, governed by
a function . Although the system admits many solutions, under
plausible physical assumptions the relevant solution is uniquely determined for
each value of . In the IR region, the solution smoothly
approaches the deformed Maldacena-N\'u\~nez solution. In the UV region it
approaches a linear dilaton solution. For the gauge coupling
function computed holographically is negative definite, in the UV approaching
the NSVZ function with anomalous dimension
(approaching )), and with in
the IR. For , has a UV fixed point at strong coupling,
suggesting the existence of an IR fixed point at a lower value of the coupling.
We argue that the solutions with describe a "Seiberg dual" picture where
flips sign.Comment: 18 pages, 10 figure
Holographic QCD and Pion Mass
To realize massive pions, we study variations of the holographic model of
massless QCD using the D4/D8/anti-D8 brane configuration proposed by Sakai and
Sugimoto. We propose deformations which break the chiral symmetry explicitly
and compute the mass of the pions and vector mesons. The observed value of the
pion mass can be obtained. We also argue a chiral perturbation corresponding to
our deformation.Comment: 23pages, minor changes, references adde
The composition of endolithic communities in gypcrete is determined by the specific microhabitat architecture
Matrix-model description of N=2 gauge theories with non-hyperelliptic Seiberg-Witten curves
Using matrix-model methods we study three different N=2 models: U(N) x U(N)
with matter in the bifundamental representation, U(N) with matter in the
symmetric representation, and U(N) with matter in the antisymmetric
representation. We find that the (singular) cubic Seiberg-Witten curves (and
associated Seiberg-Witten differentials) implied by the matrix models, although
of a different form from the ones previously proposed using M-theory, can be
transformed into the latter and are thus physically equivalent. We also
calculate the one-instanton corrections to the gauge-coupling matrix using the
perturbative expansion of the matrix model. For the U(N) theories with
symmetric or antisymmetric matter we use the modified matrix-model prescription
for the gauge-coupling matrix discussed in ref. [hep-th/0303268]. Moreover, in
the matrix model for the U(N) theory with antisymmetric matter, one is required
to expand around a different vacuum than one would naively have anticipated.
With these modifications of the matrix-model prescription, the results of this
paper are in complete agreement with those of Seiberg-Witten theory obtained
using M-theory methods.Comment: 40 pages; v2: reference added; v3: minor typo fixed; v4: clarifying
footnote added; published versio
Chiral Condensate in Holographic QCD with Baryon Density
We consider the chiral condensate in the baryonic dense medium using the
generalized Sakai-Sugimoto model. It is defined as the vacuum expectation value
of open Wilson line that is proposed to be calculated by use of the area of
world-sheet instanton. We evaluate it in confined as well as deconfined phase.
In both phases, the chiral condensate has a minimum as a function of baryon
density. In the deconfined phase, taking into account the chiral symmetry
restoration, we classify the behavior of chiral condensate into three types.
One can set the parameter of the theory such that the results, in low but
sufficiently higher density, is in agreement with the expectation from QCD.Comment: 23 pages, 8 figure
Non-Perturbative Planar Equivalence and the Absence of Closed String Tachyons
We consider 'orbifold' and 'orientifold' field theories from the dual closed
string theory side. We argue that a necessary condition for planar equivalence
to hold is the absence of a closed string tachyonic mode in the dual
non-supersymmetric string. We analyze several gauge theories on R3xS1. In the
specific case of U(N) theories with symmetric/anti-symmetric fermions
('orientifold field theories') the relevant closed string theory is
tachyon-free at large compactification radius (due to winding modes), but it
develops a tachyonic mode below a critical radius. Our finding is with
agreement with field theory expectations of a phase transition from a C-parity
violating phase to a C-parity preserving phase as the compactification radius
increases. In the case of U(N)xU(N) theories with bi-fundamental matter
('orbifold field theories') a tachyon is always present in the string spectrum,
at any compactification radius. We conclude that on R4 planar equivalence holds
for 'orientfiold field theories', but fails for 'orbifold field theories'
daughters of N=4 SYM and suggest the same for daughters of N=1 SYM. We also
discuss examples of SO/Sp gauge theories with symmetric/anti-symmetric
fermions. In this case planar equivalence holds at any compactification radius
-in agreement with the absence of tachyons in the string dual.Comment: 14 pages, Latex. 3 eps figures. v2: ref. added. v3: clarifying
sentences added in the abstract and at the end of section 4. version accepted
to JHE
Phases of N=1 USp(2N_c) Gauge Theories with Flavors
We studied the phase structures of N=1 supersymmetric USp(2N_c) gauge theory
with N_f flavors in the fundamental representation as we deformed the N=2
supersymmetric QCD by adding the superpotential for adjoint chiral scalar
field. We determined the most general factorization curves for various breaking
patterns, for example, the two different breaking patterns of quartic
superpotential. We observed all kinds of smooth transitions for quartic
superpotential. Finally we discuss the intriguing role of USp(0) in the phase
structure and the possible connection with observations made recently in
hep-th/0304271 (Aganagic, Intriligator, Vafa and Warner) and in hep-th/0307063
(Cachazo).Comment: 61pp; Improved the presentation, references are added and to appear
in PR
The holographic quantum effective potential at finite temperature and density
We develop a formalism that allows the computation of the quantum effective
potential of a scalar order parameter in a class of holographic theories at
finite temperature and charge density. The effective potential is a valuable
tool for studying the ground state of the theory, symmetry breaking patterns
and phase transitions. We derive general formulae for the effective potential
and apply them to determine the phase transition temperature and density in the
scaling region.Comment: 27 page
Baryon charge from embedding topology and a continuous meson spectrum in a new holographic gauge theory
We study a new holographic gauge theory based on probe D4-branes in the
background dual to D4-branes on a circle with antiperiodic boundary conditions
for fermions. Field theory configurations with baryons correspond to smooth
embeddings of the probe D4-branes with nontrivial winding around an S^4 in the
geometry. As a consequence, physics of baryons and nuclei can be studied
reliably in this model using the abelian Born-Infeld action. However,
surprisingly, we find that the meson spectrum is not discrete. This is related
to a curious result that the action governing small fluctuations of the gauge
field on the probe brane is the five-dimensional Maxwell action in Minkowski
space despite the non-trivial embedding of the probe brane in the curved
background geometry.Comment: 24 pages, LaTeX, 10 figures, v4: previously ignored effects of
coupling to RR-fields included, meson spectrum qualitatively changed, v5:
journal versio
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