The eighth meeting of the
South East Mathematical Physics Seminar will be held on
Wednesday 12th April 2017
at the University of Hertfordshire in room E351.
The meeting is partially supported by supported by a London Mathematical
Society Joint
Research Groups grant.
There is no registration fee. If you plan to attend, it would be helpful if you could register here.
11.00 - 11.30 | Coffee | ||
11.30 - 12.20 | Neal Carr (Kent) | Integrable features of the massive ODE/IM correspondence: Bethe ansatz equations and integrals of motion. | |
12.20 - 13.20 | lunch | ||
13.20 - 14.10 | Anna Pachol (Queen Mary) | Introduction to noncommutative digital geometry | |
14.10 - 15.00 | Tim Adamo (Imperial) | Space-time QFTs from 2d CFTs | |
15.00 - 15.40 | Tea | ||
15.40 - 16.30 | Sylvain Lacroix (ENS Lyon and Hertfordshire) | Conserved charges in non-ultralocal integrable models with twist function | |
Tim Adamo (Imperial) | |
Space-time QFTs from 2d CFTs | |
Usually, we describe perturbative QFT in terms of a Feynman expansion defined by a space-time action. However, recent work suggests that a wide variety of QFTs (such as Yang-Mills theory or general relativity) have alternative descriptions as certain chiral 2d theories. These give compact expressions for the tree-level (and in some cases, loop-level) scattering amplitudes of the space-time theory as correlation functions on a Riemann surface, with no reference to Feynman rules or traditional space-time perturbation theory. I will review these developments, focusing on the formulation and quantization of the 2d theories and their connection to scattering amplitudes. Time permitting, I will also discuss how these models can be modified in an attempt to give a similar re-formulation for off-shell observables (e.g., correlation functions) in certain space-time field theories. | |
Neal Carr (Kent) | |
Integrable features of the massive ODE/IM correspondence: Bethe ansatz equations and integrals of motion. | |
The ODE/IM correspondence is an intriguing connection between certain systems of linear ordinary differential equations and quantum integrable models. In this talk, I will discuss a pair of examples of the ODE/IM correspondence related to a pair of simply laced affine Lie algebras. Starting from particular systems of ordinary differential equations, I will exhibit Bethe ansatz equations and integrals of motion corresponding to particular integrable models. | |
Sylvain Lacroix (ENS Lyon and Hertfordshire) | |
Conserved charges in non-ultralocal integrable models with twist function | |
Integrable sigma-models, such as the principal chiral model (PCM), cosets models and their integrable deformations, are examples of non-ultralocal models with twist function. After reviewing this general framework, we will show how the analytical structure of the twist function is related to the conserved charges of these models, both local and non-local. We will illustrate these results on the example of the PCM and its Yang-Baxter deformation. | |
Anna Pachol (Queen Mary) | |
Introduction to noncommutative digital geometry | |
Noncommutative geometry, as the generalised notion of geometry, allows us to model the quantum gravity effects in an effective description without full knowledge of quantum gravity itself. On a curved space one must use the methods of Riemannian geometry – but in their quantum version, including quantum differentials, quantum metrics and quantum connections – constituting quantum geometry. The mathematical framework behind it is the noncommutative differential graded algebra. After presenting the motivation and the general framework, I will discuss some recent results on the classification of noncommutative differential geometries, over the finite field F2 (instead that of C), in n = 2,3 and 4 dimensions. The choice of the finite field proposes a new kind of 'discretisation scheme', which we called the 'digital geometry'. | |
Room E351 on College Lane Campus of the University of Hertfordshire. Here are maps of the campus; in particular this one.
Local travel information including maps may be found here.
By Train: The nearest station is Hatfield (change at King's Cross, London). Uno bus numbers 653 and 602 run between Hatfield station and the College Lane campus.
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 Clare Dunning (tcd at kent.ac.uk) in advance if you would like to apply for support.
To return to the South East Mathematical Physics Seminar webpage and to find information about claiming travel expenses please follow this link.