Mathematical Institute

Thu, 26 Jun 2025
13:30

Generalised symmetries and scattering amplitudes

Lea Bottini

Abstract

In this talk we review some recent applications of generalised symmetries to scattering amplitudes. We start in 4d by describing the connection between spontaneously broken higher-form symmetries and soft theorems for scattering amplitudes of the associated Nambu-Golstone bosons, and show a new soft theorem for theories with a so-called 2-group symmetry. Then, we switch gears and consider non-invertible symmetries in 2d theories. We show that the standard form of the S-matrix is incompatible with the non-invertible symmetry, and derive new S-matrices satisfying a modified crossing symmetry.

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Open to all researchers - including DPhils, Post-docs, and professional services staff - the deadline to apply is 18th July.

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Physicists and mathematicians sometimes talk about how certain properties or features 'emerge' from out of their equations. Indeed, there is even an entire research focus studying 'emergence'. But conceptually what does it mean? And does it, or should it, have any links with any other discipline?

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Maven Publishing is currently collaborating with an author on a new A-level maths textbook series. They are looking for mathematically strong and education-minded undergraduates to support them with a range of tasks over the summer, including answer-checking and reviewing content.

If you have:

Excellent mathematical skills
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Oxford Mathematics Summer Party 3 July

Invite your family

Talk to your colleagues

Eat ice-cream

Drink Pimm's (but not too much)

Eat, eat, eat

Relax

And enjoy yourselves

4pm Common Room and Penrose tiling. We'd love to see you all, even for a short while.

Image: Jessie Willcox Smith - The Tea Party

Emergence

Physicists and mathematicians sometimes talk about how certain properties or features 'emerge' from out of their equations. Indeed, there is even an entire research focus studying 'emergence'. But conceptually what does mean? And does it, or should it, have any links with any other discipline?

If you are free on the 29th June (13:00-17:30) then please do come to a free & open-to-all symposium titled 'Emergence' in the Martin Wood Lecture Theatre (Department of Physics).

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