North British Mathematical Physics Seminar 44
The forty-fourth meeting of the North British Mathematical Physics Seminar will take place on Tuesday 22nd September 2015
at the King's Manor, University of York.
Note: 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 fountain and the city art gallery.
Refreshments will be in the refectory and lunch in cafes nearby. 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
1100-1145
Atsushi Higuchi
(York)
The scattering cross sections of the unpolarized electromagnetic and gravitational waves are shown to be equal for the extreme Reissner-Nordström black hole using N=2 supergravity. The conversion cross sections between the unpolarised electromagnetic and gravitational waves are also shown to coincide. The gravitational and electromagnetic scattering cross sections are computed numerically for Reissner-Nordström black holes for several charge-to-mass ratios and the coincidence between the two scattering cross sections for the extremal case is confirmed.
1145-1215
James Edwards
(Durham)
First quantised techniques are becoming increasingly versatile, offering a popular alternative to conventional quantum field theory: physical quantities are re-expressed as quantum mechanical transition amplitudes for point particles interacting with a background gauge field.
I will present new work which allows for a description of arbitrary matter multiplets by introducing additional colour carrying fields on the particle worldlines. Irreducibility is achieved through a partial gauging of a U(F) symmetry which rotates between these colour degrees of freedom along with Chern Simons terms associated to the gauge connection. The result is a projection onto Wilson loop interactions taken in an arbitrarily chosen representation of SU(N).
1345-1430
Benoit Vicedo
(Hertfordshire)
I will present a general framework for constructing integrable deformations of integrable sigma models within the Hamiltonian formalism. It can be applied to a large class of non-ultralocal models, including the AdS_5 x S^5 superstring, and can be used to describe both ‘Yang-Baxter’ type and ‘gauged WZW’ type deformations which have been the subject of intensive study recently. The construction also makes it apparent why these two types of integrable deformations are related by Poisson-Lie T-duality.
1430-1500
Robert Parini
(York)
We consider the collision of solitons with a non-integrable family of Robin type boundaries in the classical sine-Gordon model. The soliton content of the field after the collision is analysed using a numerical implementation of the direct scattering problem associated with the inverse scattering transform. In contrast to the case with integrable boundaries, we find a wide variety of possible outcomes depending on the values of the initial soliton velocity and a parameter associated with the boundary condition. We also observe an unexpected resonance structure due to the creation of an intermediate breather (a bound soliton and antisoliton pair) whose re-collision with the boundary is highly dependent of the breather phase. This is the result of joint work with Patrick Dorey and Robert Arthur.
1545-1615
Yannick Herfray
(ENS Lyon & Nottingham)
TBA
1615-1700
Ruth Gregory
(Durham)
TBA
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 plan to attend the meeting, or for further questions, please email the
local organisers:
Niall MacKay or
Eli Hawkins.