Phase diagram of 2+1 dimensional field theories and particle-vortex duality

Lead Research Organisation: Swansea University
Department Name: College of Science


The duality between fundamental particles and solitonic vortex-like
states is one of many remarkable phenomena emerging from quantum field
theories in 2+1 dimensions. This general duality has recently been used
to argue for a larger web of dualities in 2+1 dimensional field
theories. A number of these dualities exchange particle states for
composite objects, and a nontrivial check of such a duality between two
sets of seemingly different degrees of freedom is to study their
thermodynamics as a function of ]both temperature and chemical potential
for particle number. The aim of this project is to understand
particle-vortex duality at finite temperature and in the grand canonical
ensemble, first for Abelian Chern-Simons theories. For non-Abelian
theories some aspects of the thermodynamics have been understood at low
temperatures in the grand canonical ensemble (in the large-N limit).
One goal of this project will be to understand fermion-boson duality in
non-Abelian theories at high temperature and large-N, for generic
values of particle number chemical potential.


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Studentship Projects

Project Reference Relationship Related To Start End Student Name
ST/N504464/1 30/09/2015 30/03/2021
1815540 Studentship ST/N504464/1 30/09/2016 29/09/2019 Jeroen Van Gorsel
Description James Callaghan Scholarship 2018/19
Amount £2,000 (GBP)
Organisation Swansea University 
Sector Academic/University
Country United Kingdom
Start 02/2019 
End 03/2019
Description FameLab Swansea heat 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Regional
Primary Audience Postgraduate students
Results and Impact FameLab Swansea heat at the National Waterfront Museum on Wednesday the 24th January
Year(s) Of Engagement Activity 2018