492 research outputs found
Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model
We explore vacua of the U(N) gauge model with N=2 supersymmetry recently
constructed in hep-th/0409060. In addition to the vacuum previously found with
unbroken U(N) gauge symmetry in which N=2 supersymmetry is partially broken to
N=1, we find cases in which the gauge symmetry is broken to a product gauge
group \prod_{i=1}^n U(N_i). The N=1 vacua are selected by the requirement of a
positive definite Kahler metric. We obtain the masses of the supermultiplets
appearing on the N=1 vacua.Comment: 23 pages, 3 figures; references added and typos correcte
N=2 Supermultiplet of Currents and Anomalous Transformations in Supersymmetric Gauge Theory
We examine some properties of supermultiplet consisting of the U(1)_{J}
current, extended supercurrents, energy-momentum tensor and the central charge
in N=2 supersymmetric Yang-Mills theory. The superconformal improvement
requires adding another supermultiplet beginning with the U(1)_{R} current. We
determine the anomalous (quantum mechanical) supersymmetry transformation
associated with the central charge and the energy-momentum tensor to one-loop
order.Comment: 8 pages, LaTe
Macroscopic -Loop Amplitude for Minimal Models Coupled to Two-Dimensional Gravity: Fusion Rules and Interactions
We investigate the structure of the macroscopic -loop amplitude obtained
from the two-matrix model at the unitary minimal critical point . We
derive a general formula for the -resolvent correlator at the continuum
planar limit whose inverse Laplace transform provides the amplitude in terms of
the boundary lengths and the renormalized cosmological constant .
The amplitude is found to contain a term consisting of multiplied by the product of modified Bessel
functions summed over their degrees which conform to the fusion rules and the
crossing symmetry. This is found to be supplemented by an increasing number of
other terms with which represent residual interactions of loops. We reveal
the nature of these interactions by explicitly determining them as the
convolution of modified Bessel functions and their derivatives for the case
and the case . We derive a set of recursion relations which relate
the terms in the -resolvents to those in the -resolvents.Comment: 30 pages, Latex, figures: figures have been introduced to represent
our results on the resolvents. A better formula for the resolvents has been
put and the section on residual interactions has been expanded to a large
exten
Asymptotic Search for Ground States of SU(2) Matrix Theory
We introduce a complete set of gauge-invariant variables and a generalized
Born-Oppenheimer formulation to search for normalizable zero-energy asymptotic
solutions of the Schrodinger equation of SU(2) matrix theory. The asymptotic
method gives only ground state candidates, which must be further tested for
global stability. Our results include a set of such ground state candidates,
including one state which is a singlet under spin(9).Comment: 51 page
Normalization of Off-shell Boundary State, g-function and Zeta Function Regularization
We consider the model in two dimensions with boundary quadratic deformation
(BQD), which has been discussed in tachyon condensation. The partition function
of this model (BQD) on a cylinder is determined, using the method of zeta
function regularization. We show that, for closed channel partition function, a
subtraction procedure must be introduced in order to reproduce the correct
results at conformal points. The boundary entropy (g-function) is determined
from the partition function and the off-shell boundary state. We propose and
consider a supersymmetric generalization of BQD model, which includes a
boundary fermion mass term, and check the validity of the subtraction
procedure.Comment: 21 pages, LaTeX, comments and 3 new references adde
Integrable Discrete Linear Systems and One-Matrix Model
In this paper we analyze one-matrix models by means of the associated
discrete linear systems. We see that the consistency conditions of the discrete
linear system lead to the Virasoro constraints. The linear system is endowed
with gauge invariances. We show that invariance under time-independent gauge
transformations entails the integrability of the model, while the double
scaling limit is connected with a time-dependent gauge transformation. We
derive the continuum version of the discrete linear system, we prove that the
partition function is actually the -function of the KdV hierarchy and
that the linear system completely determines the Virasoro constraints.Comment: 31page
N=2 Quiver Gauge Model and Partial Supersymmetry Breaking
We construct an action of N=2 affine quiver gauge model having
non-canonical kinetic terms and equipped with electric and magnetic FI terms.
N=2 supersymmetry is shown to be broken to N=1 spontaneously and N=1 multiplets
realized on the vacua are given. We also mention the models with different
gauge groups. It is argued that the affine quiver gauge model provides a
dynamical realization to approach the Klebanov-Witten N=1 fixed point.Comment: 19 page
Nitric Oxide Synthase Inhibitors Induce Motor Abnormality in Mice
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Somatosensory CBF Response to Simultaneous Vibrotactile Stimulation in Patients with Tactile Extinction
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Macroscopoic Three-Loop Amplitudes and the Fusion Rules from the Two-Matrix Model
From the computation of three-point singlet correlators in the two-matrix
model, we obtain an explicit expression for the macroscopic three-loop
amplitudes having boundary lengths in the case of
the unitary series coupled to two-dimensional gravity. The sum
appearing in this expression is found to conform to the structure of the CFT
fusion rules while the summand factorizes through a product of three modified
Bessel functions. We briefly discuss a possible generalization of these
features to macroscopic -loop amplitudes.Comment: 9 pages, no figure, late
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