30,861 research outputs found
On the boundary Ising model with disorder operators
We extend the well-known method of calculating bulk correlation functions of
the conformal Ising model via bosonisation to situations with boundaries.
Oshikawa and Affleck have found the boundary states of two decoupled Ising
models in terms of the orbifold of a single free boson compactified on a circle
of radius r=1; we adapt their results to include disorder operators. Using
these boundary states we calculate the expectation value of a single disorder
field on a cylinder with free boundary conditions and show that in the
appropriate limits we recover the standard and frustrated partition functions.
We also show how to calculate Ising correlation functions on the upper half
plane.Comment: 12 pages, Latex2e, 6 figure
Defects in the Tri-critical Ising model
We consider two different conformal field theories with central charge
c=7/10. One is the diagonal invariant minimal model in which all fields have
integer spins; the other is the local fermionic theory with superconformal
symmetry in which fields can have half-integer spin. We construct new conformal
(but not topological or factorised) defects in the minimal model. We do this by
first constructing defects in the fermionic model as boundary conditions in a
fermionic theory of central charge c=7/5, using the folding trick as first
proposed by Gang and Yamaguchi. We then acting on these with interface defects
to find the new conformal defects. As part of the construction, we find the
topological defects in the fermionic theory and the interfaces between the
fermionic theory and the minimal model. We also consider the simpler case of
defects in the theory of a single free fermion and interface defects between
the Ising model and a single fermion as a prelude to calculations in the
tri-critical Ising model.Comment: 54 pages, 5 figures, version as accepted for publication with minor
change
A non-rational CFT with c=1 as a limit of minimal models
We investigate the limit of minimal model conformal field theories where the
central charge approaches one. We conjecture that this limit is described by a
non-rational CFT of central charge one. The limiting theory is different from
the free boson but bears some resemblance to Liouville theory. Explicit
expressions for the three point functions of bulk fields are presented, as well
as a set of conformal boundary states. We provide analytic and numerical
arguments in support of the claim that this data forms a consistent CFT.Comment: latex2e, 37 pages, 4 figure
Exploiting the Design Freedom of RM
This paper details how Rapid Manufacturing (RM) can overcome the restrictions imposed by the
inherent process limitations of conventional manufacturing techniques and become the enabling
technology in fabricating optimal products. A new design methodology capable of exploiting
RM’s increased design freedom is therefore needed. Inspired by natural world structures of trees
and bones, a multi-objective, genetic algorithm based topology optimisation approach is
presented. This combines multiple unit cell structures and varying volume fractions to create a
heterogeneous part structure which exhibits a uniform stress distribution.Mechanical Engineerin
The Somme - innocence lost
Lecture showing the effect of the Battle of the Somme with the focus on the Kent infantry regiment
The reflection coefficient for minimal model conformal defects from perturbation theory
We consider a class of conformal defects in Virasoro minimal models that have
been defined as fixed points of the renormalisation group and calculate the
leading contribution to the reflection coefficient for these defects. This
requires several structure constants of the operator algebra of the defect
fields, for which we present a derivation in detail. We compare our results
with our recent work on conformal defects in the tricritical Ising model.Comment: 22 pages; v2: minor changes, defect field transformation law
clarified, reference adde
Maidstone and the First World War: friendly alien recruitment and the military service convention
Maidstone was used as a training depot for thousands of volunteers and conscripts in the First World War, and was selected as a base for those recruits of Friendly Alien status. Their treatment by the Army and the reception they received from the local population are examined in this article
Numerical simulation of neutron radiation effects in avalanche photodiodes
A new one-dimensional (1-D) device model developed for the simulation of neutron radiation effects in silicon avalanche photodiodes is described. The model uses a finite difference technique to solve the time-independent semiconductor equations across a user specified structure. The model includes impact ionization and illumination allowing accurate simulation with minimal assumptions. The effect of neutron radiation damage is incorporated via the introduction of deep acceptor levels subject to Shockley-Read-Hall statistics. Preliminary analysis of an EG&G reverse APD structure is compared with experimental data from a commercial EG&G C30719F APD
Operation Market Garden - strategic masterstroke or battle of the egos?
In September 1944, the allies undertook the largest ever airborne operation, apparently in an effort to capitalise on the German withdrawal from France and Belgium and end the war in the west by encircling the Ruhr. But what really lay behind this most audacious and daring attempt to finish the war in 1944? Inter allied rivalry, at the highest levels of military command, and the pursuit of personal ambition, will be discussed to reveal some of the reasons for failure and the post war bitterness it engendered
- …