2,031 research outputs found
ALE manifolds and Conformal Field Theory
We address the problem of constructing the family of (4,4) theories
associated with the sigma-model on a parametrized family of
Asymptotically Locally Euclidean (ALE) manifolds. We rely on the ADE
classification of these manifolds and on their construction as HyperK\"ahler
quotients, due to Kronheimer.
So doing we are able to define the family of (4,4) theories corresponding to
a family of ALE manifolds as the deformation of a solvable
orbifold conformal field-theory, being a
Kleinian group. We discuss the relation among the algebraic structure
underlying the topological and metric properties of self-dual 4-manifolds and
the algebraic properties of non-rational (4,4)-theories admitting an infinite
spectrum of primary fields. In particular, we identify the Hirzebruch signature
with the dimension of the local polynomial ring {\cal R}=\o {{\bf
C}[x,y,z]}{\partial W} associated with the ADE singularity, with the number of
non-trivial conjugacy classes in the corresponding Kleinian group and with the
number of short representations of the (4,4)-theory minus four.Comment: 48 pages, Latex, SISSA/44/92/EP, IFUM/443/F
A Note on the Holographic Beta and C Functions
The holographic RG flow in AdS/CFT correspondence naturally defines a
holographic scheme in which the central charge c and the beta function are
related by a universal formula. We perform some checks of that formula and we
compare it with quantum field theory expectations. We discuss alternative
definitions of the c-function. In particular, we compare, for a particular
supersymmetric flow, the holographic c-function with the central charge
computed directly from the two-point function of the stress-energy tensor.Comment: Version accepted for publication in Phys. Lett. B, expanded
introduction. 11 pages, 2 embedded eps figure
PP-wave and Non-supersymmetric Gauge Theory
We extend the pp-wave correspondence to a non supersymmetric example. The
model is the type 0B string theory on the pp-wave R-R background. We explicitly
solve the model and give the spectrum of physical states. The field theory
counterpart is given by a sector of the large N SU(N) x SU(N) CFT living on a
stack of N electric and N magnetic D3-branes. The relevant effective coupling
constant is g_{eff}=g_sN/J^2. The string theory has a tachyon in the spectrum,
whose light-cone energy can be exactly computed as a function of g_{eff}. We
argue that the perturbative analysis in g_{eff} in the dual gauge theory is
reliable, with corrections of non perturbative type. We find a precise
state/operator map, showing that the first perturbative corrections to the
anomalous dimensions of the operators have the behavior expected from the
string analysis.Comment: 19 pages. Revised versio
Time series aggregation, disaggregation and long memory
We study the aggregation/disaggregation problem of random parameter AR(1)
processes and its relation to the long memory phenomenon. We give a
characterization of a subclass of aggregated processes which can be obtained
from simpler, "elementary", cases. In particular cases of the mixture
densities, the structure (moving average representation) of the aggregated
process is investigated
Audio signal analysis in combination with noncontact bio-motion data to successfully monitor snoring
This paper proposes a novel algorithm for automatic detection of snoring in sleep by combining non-contact bio-motion data with audio data. The audio data is captured using low end Android Smartphones in a non-clinical environment to mimic a possible user-friendly commercial product for sleep audio monitoring. However snore detection becomes a more challenging problem as the recorded signal has lower quality compared to those recorded in clinical environment. To have an accurate classification of snore/non-snore, we first compare a range of commonly used features extracted from the audio signal to find the best subject-independent features. Thereafter, bio-motion data is used to further improve the classification accuracy by identifying episodes which contain high amounts of body movements. High body movement indicates that the subject is turning, coughing or leaving the bed; during these instances snoring does not occur. The proposed algorithm is evaluated using the data recorded over 25 sessions from 7 healthy subjects who are suspected to be regular snorers. Our experimental results showed that the best subject-independent features for snore/non-snore classification are the energy of frequency band 3150-3650 Hz, zero crossing rate and 1st predictor coefficient of linear predictive coding. The proposed features yielded an average classification accuracy of 84.35%. The introduction of bio-motion data significantly improved the results by an average of 5.87% (p<;0.01). This work is the first study that successfully used bio-motion data to improve the accuracy of snore/non-snore classification
Mastering the Master Space
Supersymmetric gauge theories have an important but perhaps under-appreciated
notion of a master space, which controls the full moduli space. For
world-volume theories of D-branes probing a Calabi-Yau singularity X the
situation is particularly illustrative. In the case of one physical brane, the
master space F is the space of F-terms and a particular quotient thereof is X
itself. We study various properties of F which encode such physical quantities
as Higgsing, BPS spectra, hidden global symmetries, etc. Using the plethystic
program we also discuss what happens at higher number N of branes. This letter
is a summary and some extensions of the key points of a longer companion paper
arXiv:0801.1585.Comment: 10 pages, 1 Figur
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