Seminars

Our group regularly invites speakers from various universities around the world. Their seminars include fundamental, mathematical, and practical aspects.

These meetings offer a point of contact for everyone devoted to quantum research, and the participation of early career researchers is particularly encouraged.

Upcoming seminars

We don’t currently have any upcoming seminars. Check back soon for further announcements.

Latest seminars

Unitary, Positive Higher Derivative QFTs from Hidden Ghost Parity

19 February 2026

Speaker: Neil Turok (Perimeter Institute & University of Edinburgh)

Abstract: Ostrogradsky’s 1850 “no-go theorem” has long been taken to imply that higher derivative field theories cannot be consistently quantized. We show that, on the contrary, careful quantization of a renormalizable, four-derivative theory, the perfect square “dipole ghost," shows it is causal  and unitary, with positive transition probabilities, to all orders in perturbation theory. Covariant quantization requires us to work in a  pseudo-Hilbert space and to  generalise the Born rule and LSZ prescription. The interacting dipole ghost is interesting  in its own right because it might a) explain the observed large scale structures in the universe, b) cancel stress-energy divergences in the Standard Model and help to resolve the Big bang singularity and c) provide a UV-complete description of the conformally flat limit of quantum gravity. 

Secondary Invariants, trace relations and fermions

17 February 2026

Speaker: Robert de Mello Koch (Huzhou University)

Abstract: We argue that the space of invariants of multi-matrix model quantum mechanics, at finite N, is generated by a set of invariants, naturally divided into two distinct classes: primary and secondary. The primary invariants act freely, while secondary invariants satisfy quadratic relations. We argue that the primary invariants correspond to perturbative degrees of freedom, whereas the secondary invariants emerge as non-trivial background structures. The number of primary invariants for a model with d matrices is given by 1+(d-1)N^2. The number of secondary invariants grows as exp(cN^2) at large , with c a constant. Finally, we identify a class of light single-trace operators that behave like free creation operators at low energy but saturate beyond a critical excitation level, ceasing to generate new states. This leads to a dramatic truncation of the high-energy spectrum of the emergent theory. The resulting number of independent degrees of freedom is far smaller than naïve semiclassical expectations, providing a concrete mechanism for how nonperturbative constraints shape the ultraviolet behaviour of emergent theories. Finally we argue that for bosonic vector models the set of bosonic secondary invariants are mapped, one-to-one, to the states of a fermionic bilinear color-singlet Hilbert space. We describe how the trace relations in the two descriptions are related.

 

Past seminars

2025

2024

2023

2022

2021

2020

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Address

School of Mathematics and Physics
University of Surrey
Guildford
Surrey
GU2 7XH