The thirty-fifth meeting of the North British Mathematical
Physics Seminar was held on **Saturday 27 October
2012** in Durham, in room CM221 of the
Department of
Mathematical Sciences.
These
people came. The original page announcing the meeting is here.

11:00-11:30

Coffee (in the Maths Dept, room CM211)

11:30-12:25

Alexander Veselov
(Loughborough)

I will show that the eigenvalues of certain natural Casimir
operators in the adjoint representation of simple Lie algebras can be
expressed rationally in the universal Vogel's parameters and give
explicit
formulae for the corresponding generating functions. Similar universal
formulae can be given for some quantities in Chern-Simons theory on a
3D
sphere. The talk is based on joint results with Mkrtchyan and Sergeev.

12:30-13:45

Lunch

13:45-14:40

Sebastian Franco
(Durham)

TBA

14:45-15:40

Gábor Takács
(Budapest University of Technology and
Economics)

I review the framework we developed in recent years to describe the
volume dependence of local operator matrix elements (so-called form
factors) in two-dimensional quantum field theories. One of the most
important applications of this framework is the construction of a
spectral expansion for finite temperature correlation functions. These
quantities play an important role in the description of strongly
correlated quantum systems.

15:45-16:30

Tea

16:30-16:55

James Allen
(Durham)

We explore the low energy dynamics of charge two instantons and
dyonic instantons in SU(2) 5-dimensional Yang-Mills. We make use of
the moduli space approximation and first calculate the moduli space
metric for two instantons. For dyonic instantons the effective action
of the moduli space approximation also includes a potential term which
we calculate. Using the ADHM construction we are able to understand
some aspects of the topology and structure of the moduli space. We
find that instantons undergo right angled scattering after a head on
collision and we are able to give an analytic description of this in
terms of a quotient on the moduli space by symmetries of the ADHM
data. We also explore the scattering of instantons and dyonic
instantons numerically in a constrained region of the moduli space.

17:00-17:25

Moustafa Gharamti
(Edinburgh)

Through studying the low energy dynamics of the BPS
configurations of
a supersymmetric Yang Mills Higgs theory on H^{3}, we obtain a
supermultiplet of zero modes. Then, the on shell closure of the zero
modes super algebra will yield the defining equations of the geometry
of the supersymmetric hyperbolic monopoles.

Train information can be obtained here.

For directions to the Department of Mathematical Sciences click here, here or here.

Tea, coffee and biscuits will be provided free of charge. There might be a sandwich lunch for which participants might be charged (depending on funding).

Limited funds are available to help with travel expenses of participants with no other source of funding. We hope that this will encourage postgraduate students and postdocs to attend the meeting. Please email Patrick Dorey in advance if you would like to apply for support and please book early to take advantage of the cheaper fares.

Patrick Dorey
Last modified: 28 October 2012