In this talk, we take inspiration from studies of using SU(N|N) to construct a manifestly gauge invariant renormalisation procedure and attempt to apply this to gravity, preserving diffeomorphism invariance and incorporating allowing us to fit gravity into the renormalisation group (a rather well-known problem in physics). This means introducing a supermanifold and attempting to find the...

As new physics continues to evade detection at the LHC, proposals have been made for future colliders with the aim of extending the mass reach and improving sensitivity to physics beyond the standard model. The scalar leptoquark provides a particularly interesting new physics candidate. At tree-level, leptoquark-mediated transitions may account for the hints at lepton flavour universality...

In this talk we review current research into a novel approach to creating a perturbatively renormalizable theory of quantum gravity. This is based on a treatment of Einstein's GR under the exact renormalization group leading to the discovery of operators with negative scaling dimension which resolve the issue of irrelevant operators in interacting gravity. The restriction of these operators to...

We consider a simple renormalisable and gauge-invariant model in which a massive new Z′ boson has couplings only to the electron and muon and their associated neutrinos, arising from mixing with a heavy vector-like fourth family of leptons. Within this model, we discuss the contributions to the electron and muon anomalous magnetic moments from Z′ exchange, subject to the constraints from μ→eγ...

The marriage of quantum theory and gravity is a notoriously difficult problem. While the most popular approach is string theory, it is by no means the only game in town. In this talk I will give a bird's eye view on a selection of other approaches to quantum gravity.

The laws of physics should not depend on how we choose to describe them, and we should not be able to change the physical predictions of our theory just by changing notation. However, this is exactly what happens in the standard formulation of quantum field theories. The effective action receives different quantum corrections depending on how we parametrise our fields. Even Feynman diagrams, a...

QCD coherence is a non-Abelian generalisation of the statement that short wavelength physics is largely independent of long wavelength physics. The evolution of hadronic parton densities is accounted for using the equations of Dokshitzer, Gribov, Lipatov, Altarelli, and Parisi (DGLAP). It is often assumed that, as a result of QCD coherence, this hadron evolution can be factorised from any...

Studying field theory in de Sitter spacetime is important because of its relevance to inflationary cosmology. N-dimensional de Sitter space can be obtained by analytic continuation of the N-sphere. In this talk, I will discuss how one can construct spinor fields in de Sitter spacetime by analytically continuing the eigenfunctions of the Dirac operator on the N-dimensional sphere. Furthermore,...

The aim is to explain what the soft anomalous dimension is and its relevance to computing cross sections. Scattering amplitudes can be factorised into hard, soft and jet functions. The soft function renormalisation group equation defines the soft anomalous dimension and the its constrains will be discussed.

In high energy particle collisions, large logarithms appear at all

orders in the coupling of fixed-order perturbative calculations.

I will introduce the High Energy Jets formalism which incorporates these large logarithms to all orders in the coupling. In particular, I will talk about our current effort to match this prediction to next-to-leading order accuracy.

The partial order of partial Higgsings of a gauge theory with 8 supercharges matches the partial order of inclusion of closures of the symplectic leaves that make up its Higgs branch. The Hasse diagram is a graphical depiction of a partial ordering and as such a central tool in studying Moduli spaces of quantum field theories with 8 supercharges. We will use brane constructions in Type II...

I will give an overview of dualities between non-supersymmetric gauge theories in 2+1 dimensions and describe a "gauging" procedure to derive new dualities assuming the validity of a "seed" dual pair. We will mainly demonstrate these ideas through example, focusing on a duality between QED3 and free fermions. If there is any time left I will mention some work in progress in using the gauging...

With the developments of modern measurement techniques we are able to test Physics at a vast range of scales, ranging from collider experiments to single-atom detection. Apart from being Quantum Theories, the description of these systems also share that a clear understanding of the non-equilibrium dynamics is not fully established. Also missing is a clear understanding of how systems...

We study and compare various Zmodels arising from SO(10), focussing in particular on the Abelian subgroup U(1)R × U(1)B−L, broken at the TeV scale to Standard Model hypercharge U(1)Y. The gauge group U(1)R × U(1)B−L, which is equivalent to the U(1)Y × U(1)χ in a different basis, is well motivated from SO(10) breaking and allows neutrino mass via the linear seesaw mechanism. Assuming...

Unlike higher dimensional de Sitter spaces, two dimensional de Sitter space is not simply connected. The behaviour of the fields on making a full rotation of the spatial direction must therefore be specified. Previously, Epstein and Moschella have shown that anti-periodic real scalar fields have no analogue of a Bunch-Davies vacuum state. For complex scalar fields, more general behaviour is...

I will give an overview of some recent progress in capturing aspects of the non-Abelian dynamics of M5-branes through non-Lorentzian worldvolume descriptions.

Finding a non-perturbative formulation of Quantum Field Theory (QFT) is an important outstanding problem in physics and mathematics. In mathematics it is needed to put QFT on rigorous footing. In physics it is needed to explain many phenomena observed in nature, particularly at strong coupling, for example the confinement of quarks. Resurgence and Picard-Lefschetz theory are tools that provide...

In the field of topological solitons, the bogomol'nyi trick is a method that can be used to find non-trivial minima of the energy functional where the Euler-Lagrange equations are generally too hard to solve. In the field of condensed matter, magnetic skyrmions are one of the few real-life examples of topological solitons, with potential applications in memory storage. In this talk I will...

We discuss a model of inflation with a minimal Image potential. There are two main problems with conventional Image chaotic inflation: the tensor to scalar ratio is generally unacceptably large, and it requires a super-Planckian inflaton field in order to inflate. It has been shown recently that a minimal Image inflation model with an Image term in the context of Palatini gravity is able to...

In this talk the key results from the last 15 years of work in heterotic string vacua classification in the free fermionic formulation will be reviewed. The latest work on fertility condition in the Left-right symmetric models will be explored as well as the ongoing project towards a classification of Non-SUSY models.

In this talk, a taster is given of preliminary results obtained with my collaborators. We study the integrable Yang-Baxter deformations of the Principal Chiral Model and its on-shell "uniton" solutions. By dimensionally reducing the theory on the world-sheet we obtain an effective quantum mechanics. Using techniques from resurgence we try to interpret the non-perturbative physics as uniton...