Pure spinor formalism

Lead Research Organisation: University of Southampton
Department Name: School of Mathematics

Abstract

String theory has been a eld of much interest for a number of years now, providing new insights
into a variety of areas. One particularly useful aspect of string theory is its ability to aid in the
computation of scattering amplitudes; the multitude of Feynman diagrams one has to consider
at each loop level in QFT are dramatically reduced in number in string theory, where you only
have to consider sums over a much smaller number of topologies. From these string results,
eld theory results can be obtained.

Publications

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publication icon
Bridges Elliot (2019) Algorithmic construction of SYM multiparticle superfields in the BCJ gauge in Journal of High Energy Physics

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509747/1 01/10/2016 30/09/2021
1943393 Studentship EP/N509747/1 28/09/2017 30/09/2020 Elliot Bridges
 
Description Scattering amplitudes describe what happens when particles collide with each other. Working these out is very complicated and involves lots of difficult calculations, but fortunately there are numerous tricks we can use to simplify things. One recent example of such a trick is something called the "double copy", which allows you to write the amplitudes of particularly complicated particles as something like the square of much simpler ones. Doing this requires constructing the simpler amplitudes in a very specific way, related to the field of Lie algebras in mathematics. An amplitude describing n particles interacting is given by a series of calculation of increasingly complicated calculations; the first of which gives most of the answer, then the next gives a little more, and the next less than that, and so on. In the paper I worked on we generalised a previous method to find the first stage of the certain amplitudes in a double copy appropriate way, and proved mathematically a few results along the way. We also explained some of where the ability to use this double copy trick comes from. I am now working on something similar for the calculations at the next stage of complexity
Exploitation Route This work is on fundamental physics, its use is in academic settings. It is particularly useful to others working on scattering amplitudes and on string theory, but there are also implications for people working on gravity, and some results may be of interest for pure mathematicians
Sectors Education,Other

 
Description Algorithmic construction of SYM multiparticle superfields in the BCJ gauge 
Organisation University of Southampton
Country United Kingdom 
Sector Academic/University 
PI Contribution My supervisor and I work together. This work is a large percentage of all of the work I do
Collaborator Contribution My collaborator is my PhD supervisor, they were very involved too in all of the work on this project
Impact We have one paper so far, "Algorithmic construction of SYM multiparticle superfields in the BCJ gauge", and work on another project has begun and results have been found
Start Year 2017
 
Description Class for school children before annual public lecture 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Schools
Results and Impact Before the annual public lecture in Southampton there is a class for school children from the region on the material that's going to be talked about. I've helped run this the past two years
Year(s) Of Engagement Activity 2019,2020
 
Description Poster presented to public 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact I presented a poster of my area to members of the public at a general showcase of posters from postgraduate students
Year(s) Of Engagement Activity 2018
 
Description Short article in school magazine 
Form Of Engagement Activity A magazine, newsletter or online publication
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Schools
Results and Impact There was a short piece about me in my former high school's magazine
Year(s) Of Engagement Activity 2018