The 14th meeting of the
South East Mathematical Physics Seminar will be held on
Wednesday 29th May 2019
at the University of Hertfordshire in room E351.
The meeting is partially supported by supported by a London Mathematical
Research Groups grant.
There is no registration fee. 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.)
|11.00 - 11.30||Coffee|
|11.30 - 12.20||Lorenzo Bianchi (Queen Mary)||Loop recursion and dual conformal symmetry for form factors|
|12.20 - 13.20||lunch|
|13.20 - 14.10||Roland Bittleston (DAMTP, Cambridge)||Gauge Theory and Boundary Integrability|
|14.10 - 15.00||Heeyeon Kim (Oxford)||Supersymmetric partition functions, 't Hooft anomalies and Holomorphy|
|15.00 - 15.40||Tea|
|15.40 - 16.30||Dan Thompson (Swansea)||Integrable deformations and Generalised Dualities|
|Lorenzo Bianchi (Queen Mary)|
|Loop recursion and dual conformal symmetry for form factors|
|In this talk we consider form factors in N=4 Super Yang Mills at weak coupling. After reviewing some general properties of these objects, we propose a consistent recipe to assign region variables. This assignment will allow us to give an unambiguous definition of the loop integrand and to derive a loop recursion relation. Furthermore, using the same region momenta assignment, we also show that the one-loop form factor exhibits dual conformal invariance, contrary to what was generally expected.|
|Roland Bittleston (DAMTP, Cambridge)|
|Gauge Theory and Boundary Integrability|
|Costello, Yamazaki and Witten have recently proposed a new description of quantum integrable systems coming from a variant of Chern-Simons theory living on the product of a two dimensional real manifold and a Riemann surface. I'll review their work, and show how it can be extended to the case of integrable systems with boundary. In particular I will discuss how the boundary Yang-Baxter Equation, twisted Yangians and Sklyanin determinant can be realised in terms of line operators in the theory.|
|Heeyeon Kim (Oxford)|
|Supersymmetric partition functions, 't Hooft anomalies and Holomorphy|
|Supersymmetric partition functions on compact spaces provide an important tool to study the non-perturbative aspects of quantum field theories. In this talk, I discuss universal properties of the partition functions for 4d N=1 gauge theories. After reviewing the dependence of the partition function on various discrete and continuous parameters, I introduce a novel way to construct the partition function on a large class of four-manifolds which preserves two supersymmetries. In the second part of the talk, I discuss the existence of a mixed anomaly between supersymmetry and background gauge symmetry, which implies an anomaly in the holomorphy of the partition function with respect to the background gauge parameters. I propose a way to compute the full non-holomorphic dependence of the partition functions, which provides an important correction to earlier holomorphic results.|
|Dan Thompson (Swansea)|
|Integrable deformations and Generalised Dualities|
|I will outline some recent progress in understanding classes of integrable deformations of strings relevant to e.g. the $AdS_5 \times S^5$ superstring. These so-called $\eta$ and $\lambda$-deformations exhibit a rich structure of Poisson-Lie symmetries and corresponding notions of Poisson-Lie and non-Abelian T-duality. I will explain how these symmetries become natural when harnessing the power of generalised geometry. Time permitting I will outline recent results concerning the open string sector of $\lambda$-deformations and the interplay of integrable D-branes with PL and non-Abelian dualisation.|
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.