1,926 research outputs found
Stochastic Loewner evolution in multiply connected domains
We construct radial stochastic Loewner evolution in multiply connected
domains, choosing the unit disk with concentric circular slits as a family of
standard domains. The natural driving function or input is a diffusion on the
associated Teichm\"uller space. The diffusion stops when it reaches the
boundary of the Teichm\"uller space. We show that for this driving function the
family of random growing compacts has a phase transition for and
, and that it satisfies locality for .Comment: Corrected version, references adde
The Correlator Toolbox, Metrics and Moduli
We discuss the possible set of operators from various boundary conformal
field theories to build meaningful correlators that lead via a Loewner type
procedure to generalisations of SLE(). We also highlight the
necessity of moduli for a consistent kinematic description of these more
general stochastic processes. As an illustration we give a geometric derivation
of in terms of conformally invariant random growing
compact subsets of polygons. The parameters are related to the
exterior angles of the polygons. We also show that
can be generated by a Brownian motion in a gravitational background, where the
metric and the Brownian motion are coupled. The metric is obtained as the
pull-back of the Euclidean metric of a fluctuating polygon.Comment: 3 figure
On Conformal Field Theory and Stochastic Loewner Evolution
We describe Stochastic Loewner Evolution on arbitrary Riemann surfaces with
boundary using Conformal Field Theory methods. We propose in particular a CFT
construction for a probability measure on (clouded) paths, and check it against
known restriction properties. The probability measure can be thought of as a
section of the determinant bundle over moduli spaces of Riemann surfaces.
Loewner evolutions have a natural description in terms of random walk in the
moduli space, and the stochastic diffusion equation translates to the Virasoro
action of a certain weight-two operator on a uniformised version of the
determinant bundle.Comment: 24 pages, 4 figures, LaTeX; v2: added section 4.1, references and
minor clarifications, version to appear in NP
Multiple Schramm-Loewner evolutions for conformal field theories with Lie algebra symmetries
We provide multiple Schramm-Loewner evolutions (SLEs) to describe the scaling
limit of multiple interfaces in critical lattice models possessing Lie algebra
symmetries. The critical behavior of the models is described by
Wess-Zumino-Witten (WZW) models. Introducing a multiple Brownian motion on a
Lie group as well as that on the real line, we construct the multiple SLE with
additional Lie algebra symmetries. The connection between the resultant SLE and
the WZW model can be understood via SLE martingales satisfied by the
correlation functions in the WZW model. Due to interactions among SLE traces,
these Brownian motions have drift terms which are determined by partition
functions for the corresponding WZW model. As a concrete example, we apply the
formula to the su(2)k-WZW model. Utilizing the fusion rules in the model, we
conjecture that there exists a one-to-one correspondence between the partition
functions and the topologically inequivalent configurations of the SLE traces.
Furthermore, solving the Knizhnik-Zamolodchikov equation, we exactly compute
the probabilities of occurrence for certain configurations (i.e. crossing
probabilities) of traces for the triple SLE.Comment: 21 pages, 8 figures, typos corrected, references added, published
versio
Perfils nutricionals de la carn i dels productes fets a base de carn
L'article presentamolt breument les diverses categories de productes carnis amb vuit taules de dades indicatives de composició i dades de productes elaborats a base de carn.The article presents briefly the various categories of meat products with eight tables of data composition and data indicative of processing meat
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