52nd North British Mathematical Physics Seminar

The 52nd meeting of the North British Mathematical Physics Seminar will be held on Wednesday 7 March 2018 in Edinburgh at ICMS, 15 South College Street in the main lecture hall . For all general information about the North British Mathematical Physics Seminar, including instruction for claiming travel expenses follow this link


Coffee/Tea at ICMS

Omar Sosa Rodriguez (Durham University)
Boomerang RG flows
Abstract: The advent of the gauge/gravity correspondence has allowed us to tackle problems in strongly coupled field theories from a different perspective, in particular through the renormalisation group (RG). This gives a hope: that one might be able to address questions in strongly coupled condensed matter systems. A key feature of condensed matter is momentum dissipation, and I will briefly discuss how one can implement it using holography. After setting up the stage I will present a class of models for which the RG flow exhibits the peculiarity UV=IR. I will close showing how the scalings of the RG flow are transferred to the scalings of transport coefficients.
Daniel Rutter (Durham University)
Hamiltonian Truncation: Renormalisation and Non-Locality
Abstract: The spectra of (strongly coupled) quantum systems can be studied by truncating the Fock space and numerically diagonalising the resulting finite-size Hamiltonian. This simple approach can be improved by approximately integrating out the states above the cut-off. I will outline this renormalisation process and discuss the allowed counterterms, given that the cut-off is intrinsically non-local.
Simon Ruijsenaars (University of Leeds)
Sine-Gordon field theory versus relativistic Calogero-Moser N-particle systems: an overview
Abstract: The sine-Gordon equation \phi_xx - \phi_tt = sin(\phi) is one of the earliest and most important examples of an integrable 2D eld theory solved in great detail via the IST. The quantum counterpart of the IST revealed that the classical soliton, antisoliton and breather solutions turn into solitonic fermions, antifermions and their bound states, with particle number preservation under scattering and factorized amplitudes gov- erned by the Yang-Baxter equations. In this talk we survey the relation between the relativistic sine-Gordon model and (a special case of) the hyperbolic relativistic integrable N-particle systems of Calogero-Moser type. More speci cally, we review the intimate link between the clas- sical version of the latter and the particle-like sine-Gordon solutions, and present compelling evidence that this soliton-particle correspon- dence turns into a physical equivalence on the quantum level, in the sense that the same scattering amplitudes and bound state energies arise in the quantum eld-theoretic and N-particle models.
Tea and coffee break
Joseph Farrow (Durham University)
Gravity amplitudes from the Ambi-Twistor string
Abstract: Ambi-twistor string models give a general framework for calculating tree-level field theory amplitudes. I will describe how this can be related to on-shell diagram techniques to give an expression for the four point one loop amplitude of N=8 supergravity, and I will discuss work in progress on how N=4 conformal supergravity amplitudes can be described in this framework.
Joan Simon (Edinburgh University)
Exploring EPR=ER in LLM
Abstract:The extremal limit of single R-charged AdS5 black holes in type IIB is known to be described by a system of N free fermions in a one dimensional harmonic oscillator potential. Since the quantum mechanical problem is solvable and its phase space formulation appears in the gravity dual (LLM geometries), it allows us to explore the relation between entanglement, quantum correlation design and connectivity in space in this set-up, both in a single and a two boundary situation.

Practical Information

ICMS is a 15-20 minute walk from Waverley train station. Here is a link to ICMS web page here .

Train information can be obtained from here.

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 Douglas Smith in advance if you would like to apply for support.

Postscript: The meeting took place successfully. Click here to view a list of people who took part.

Anatoly Konechny
Last modified: 22 March 2012