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Dr Matthew Buican


Royal Society University Research Fellow

Telephone: 020 7882 3462
Room Number: G. O. Jones Building, Room 601


I am creating and teaching a course called "Supersymmetric Methods in Theoretical Physics" (see here).

The basic idea is to give a course in supersymmetry that emphasizes the simplest settings in which general principles emerge rather than studying SUSY as an extension of the Standard Model (although this topic is interesting in its own right!). Some of the areas to be covered include the Witten index, N=2 SUSY quantum mechanics (SQM), N=(2,2) SQM, and various applications (e.g., to understanding dynamics of quantum mechanical systems, Berry's phase, etc.). The last part of the module will cover 3D SUSY theories and some of the remarkable dualities that emerge.

I am also a supervisor for 2 MSci projects and 1 BSci project. The general area of study is the physics of anyons.



Research Interests:

My current research interests include:

• Various aspects of boundary conformal field theory (BCFT) and CFTs with defects; see here for a recent workshop I co-organized with Andy O'Bannon on the topic

• Non-perturbative aspects of Superconformal Field Theories (SCFTs) and Supersymmetric Renormalization Group flows in various dimensions

• Conformal manifolds and exactly marginal deformations of SCFTs

• Relations between conformal manifolds and moduli spaces of vacua

• Emergent / accidental symmetries in Quantum Field Theory (QFT)

• Hidden operator algebras in QFT

• Relations between Topological Field Theories and CFTs

• Understanding topological and analytic properties of the space of QFTs

• New microscopic models for CFTs in various dimensions

• Hitchin Systems, M5 branes, and SCFTs in 3D and 4D


Examples of research funding:

My Grants / Recent Awards

• Royal Society Enhancement Award, "New Aspects of Conformal and Topological Field Theories Accross Dimensions"  (103,067 GBP); this grant will support an associated PhD position (starting October 2018), visitor's program, and computer cluster

• "Argyres-Douglas Theories, S1 Reductions, and Topological Symmetries" (written in collaboration with Dr. Takahiro Nishinaka) was recently included in the  Journal of Physics A Highlights of 2016 Collection

• Royal Society University Research Fellowship, "New Constraints and Phenomena in Quantum Field Theory" (424,857 GBP)


See here

PhD Supervision

PhD Projects

•  Microscopic Models for New Rational Conformal Field Theories

•  New Constraints on the Supersymmetric Renormalization Group Flow in Three and Four Dimensions

•  Infinite Dimensional Symmetries and QFT in d > 2

•  Non-Local Operators and Condensed Matter Systems


Some Selected Talks

• 8/2016, Strings 2016 (Beijing, China), "Conformal Manifolds, Moduli Spaces, and Chiral Algebras," (video)

• 7/2016, GGI Workshop on Conformal Field Theories and Renormalization Group Flows in Dimensions d>2 (Florence, Italy), "Conformal Manifolds and Chiral Algebras"

• 3/2015, Princeton University, "Conformal Manifolds and Argyres-Douglas Theories"

• 1/2014, Quantum Fields Beyond Perturbation Theory (KITP, UC Santa Barbara), "Minimal Distances Between SCFTs," (video)

• 11/2013, Solvay Workshop on Exploring Higher Energy Physics (Brussels, Belgium), "Minimal Distances and the RG Flow"

 • 5/2012, Planck 2012 (Warsaw, Poland), "R Symmetry and Emergent Symmetry"

• 11/2011, Harvard University, "R Symmetry and Non-Perturbative QFT" 

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