Thirty-Fifth Meeting of the North British Mathematical Physics Seminar
The thirty-fifth meeting of the North British Mathematical
Physics Seminar will be held on Saturday 27 October
2012 in Durham, in room CM221 of the
Department of
Mathematical Sciences.
These
people have so far said they intend to come.
Programme
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.
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.
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 H3, 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.
Practical Information
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.