North British Mathematical Physics Seminar 38
The thirty-eighth meeting of the North British Mathematical Physics Seminar took place on Wednesday 15th May 2013
at the King's Manor, University of York.
These people participated.
King's Manor. is in the centre of the city,
5 minutes' walk from the railway station. To get there, turn left out of the station, under the wall, left over the bridge over the river,
then left after 100m at the crossroads (see map). The King's Manor is in Exhibition Square, to the
left of the city art gallery.
Refreshments will be in the refectory and lunch in a cafe nearby (paying individually for both). To get to the refectory go through the porters' lodge and up the stone
staircase towards the end of the first court on the left. Talks will be in K/133, entered either through the refectory (back of the theatre) or at the far left-hand corner of the furthest court (which brings you in at the front of the theatre).
Programme
1130-1215
Henning Bostelmann
(York)
We derive a Quantum Energy Inequality (QEI) for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial $S$-matrix. Also, we show that - in contrast to a free Bose field - the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.
1215-1245
Thomas Winyard
(Durham)
Baby Skyrmions are a 2 dimensional analogue of the Skyrme model, that admit topological solitons. As the full Skyrme model is seen as a model for QCD, it is sensible to ask if the two models exhibit any colour structure. This is normally only the case when the model is quantised, so can we introduce some colour dependence into the classical model? We consider a previously proposed model that breaks the normal global O(3) symmetry to the dihedral group D_N. I will demonstrate that the static solutions for this model are formed of N constituent parts, which I will consider to be partons. I will then construct the multi-soliton solutions for this alternative model and demonstrate that they have the structure of polyforms (planar figures formed by regular N-gons joined along their edges). Finally I will consider the scattering of the solitons and compare the results with those of the original baby Skyrme model.
1400-1430
Dionysis Mylonas
(Heriot Watt)
It was found recently that closed strings propagating on a 3-dimensional torus endowed with a nontrivial background H-flux are mapped via T-duality to a nonassociative non-geometric space where the H-flux 3-form is mapped to a 3-vector R-flux. In this talk I will attempt to give a description of the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds. Starting from a suitable Courant sigma-model on an open membrane I will arrive to a twisted Poisson sigma-model on the boundary of the membrane. The corresponding boundary correlation functions reproduce Kontsevich's deformation quantization formula. For constant R-flux, I will show how to derive closed formulas for the corresponding nonassociative star product and its associator.
1430-1500
Daniela Cadamuro
(Goettingen/York)
In QFT, the construction of local observables in the presence of nontrivial interaction is a difficult task due to their complicated structure. In a class of integrable quantum field theories, we give an explicit characterization of these local observables using the properties of the coefficient functions in an expansion by interacting creators and annihilators. Some results on the operator domains of these local observables are given. Using these, we constructed explicit examples of local observables in the quantum Ising model.
1530-1620
Benoit Vicedo
(Herts)
I will present the quantized function algebras associated with various examples of generalized sine-Gordon models. These are quadratic algebras of the general Freidel-Maillet type, the classical limits of which reproduce the lattice Poisson algebra recently obtained for these models formulated as gauged Wess-Zumino-Witten models plus an integrable potential. More specifically, I will argue based on these examples that the natural framework for constructing quantum lattice integrable versions of generalized sine-Gordon models is that of affine quantum braided groups.
Practical Information
These maps
will get you from the railway station to King's Manor (the
university-provided one
doesn't show the station).
If you come by car I'm afraid you'll need to take your chances in the city centre car parks.
Limited funds are available to help with travel expenses of those
with no other source of funding, especially postgraduate students and
postdocs. Please book early to take advantage of the cheaper
advance-purchase train fares. For how to claim please see
the main NBMPS page.
If you wish to attend the meeting, or for further questions, please email the
local organisers:
Niall MacKay or
Eli Hawkins.