Thirty-Fifth Meeting of the North British Mathematical Physics Seminar

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.


Coffee (in the Maths Dept, room CM211)
Alexander Veselov (Loughborough)
Universality in Lie algebras and Chern-Simons theory
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.
Sebastian Franco (Durham)
Bipartite Field Theories: from D-brane probes to the Grassmannian, and Beyond
Gábor Takács (Budapest University of Technology and Economics)
Finite temperature correlators in integrable QFTs
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.
James Allen (Durham)
The low energy dynamics of dyonic instantons
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.
Moustafa Gharamti (Edinburgh)
The Geometry of Supersymmetric Hyperbolic Monopoles
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.

Patrick Dorey
Last modified: 28 October 2012