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UK Collaboration on
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Saturday, 4 December 1999, King's College London
Topic
Directions
Timetable
Talks
Participants
Further details
Details of the meeting will appear on this page as they become available.
If you are interested and want to be included in our mailing list, please
send an e-mail to Gustav Delius.
Affine Toda field theories are closely related to the free field representations of perturbed conformal field theories. The integrable boundary conditions of affine Toda theory, which have been studied closely by the Durham group, should be related to the corresponding relevant boundary operators. Furthermore the interesting boundary spectrum of affine Toda theories with a boundary should be understandable in terms of the Hilbert space of the boundary CFT.
This meeting, which will be organised by Ingo Runkel, Gábor Takács and Gerard Watts at King's College London, will review the formalism of boundary conformal field theory and its perturbations and discuss its applications to boundary integrable field theory.
| 10.15 - 10.45 | Registration, Coffee & biscuits | ||||
| 10.50 - 11.30 |
I Runkel Introduction to boundary conformal field theory | ||||
| 11.30 - 11.40 | |||||
| 11.40 - 12.30 |
J-B Zuber Boundary Conditions in Rational Conformal Field Theories | ||||
| 12.30 - 14.00 | Lunch | ||||
| 14.00 - 14.50 |
A Tsvelik Edge states in the Fractional Quantum Hall effect | ||||
| 14.50 - 15.30 | Tea & Biscuits | ||||
| 15.30 - 16.20 |
G Watts Introduction to perturbed BCFT and integrable models 16.20 - 16.30 |
| 16.30 - 17.20 |
P Bowcock | Classical stability of boundary Toda models |
There will be two introductory talks, one on boundary conformal field theory in general, given by I Runkel, and one on its relation to integrable models, given by G Watts There will also be three specialised talks, by J-B Zuber, P Bowcock and A Tsvelik.
I Runkel
Introduction to boundary conformal field theory
An introduction to boundary cft
through a discussion of the Ising model, bringing in the boundary
conditions, boundary fields, the two operator formalisms, boundary
states, and working through the calculation of some of the structure
constants and ground-state degeneracies (g-functions)
J-B Zuber
Boundary Conditions in Rational Conformal Field Theories
How to determine the BC consistent with conformal invariance?
In a RCFT, BC obey a consistency condition, the Cardy equation.
Its solutions turn out to be given by non-negative integer valued
representations of the (Verlinde) fusion algebra. In the simplest
cases, this yields the complete solution, in the others, it leads to
a well posed problem.
The information that BC contain on the theory 'in the bulk', and
algebraic aspects of the operator algebra of boundary fields will
also be mentioned.
Ref: hep-th/9908036
G Watts
Introduction to perturbed boundary conformal field theory and
integrable models
Viewing integrable models as perturbed conformal field theories is
often helpful, and there are precise analytical and numerical results
from conformal field theory for quantities which are also accessible
using TBA techniques (to be discussed in another meeting).
P Bowcock
Classical stability of boundary Toda models
One can find conditions that an affine Toda theory with integrable
boundary conditions has a stable vacuum by finding a Bogomolny bound
on the energy, and analysing the possible singularities of the field
at the boundary.
Ref: hep-th/9909174
A Tsvelik
Edge states in Quantum Hall Effect
A talk about edge states in Fractional Quantum Hall effect from the
conformal field theory point of view, in
particular the newly observed Pfaffian state.
There are potential applications for the problem of conductivity in
integer quantum Hall effect.
Information on how to reach the Department can be found here.
Registration, coffee and tea will be in room 521 on the fifth floor of the Strand building, and the talks will take place in room 27C on the second floor of the Main building. Directions to these rooms will be signposted from the entrance to the building on the Strand.