133 citations · 365 across the 17 of their papers we have counts for
17 papers
The Quantum Origins of Non-Topological Vortices
Carl Turner
We review some unusual facts about the theory of non-relativistic anyons in 2+1 dimensions, and use it as a laboratory to explore how interesting features of non-relativistic field…
Notes on 8 Majorana Fermions
David Tong, Carl Turner
Eight Majorana fermions in dimensions enjoy a triality that permutes the representation of the global symmetry in which the fermions transform. This triality plays…
Lectures on Dualities in 2+1 Dimensions
Carl Turner
In this course, we will discuss dualities in 2+1 dimensions. We begin by briefly reviewing the physics of 1+1d T-duality and bosonization, and discuss flux attachment and the dual…
A Web of 2d Dualities: Gauge Fields and Arf Invariants
Andreas Karch, David Tong, Carl Turner
We describe a web of well-known dualities connecting quantum field theories in dimensions. The web is constructed by gauging global symmetries and includes a nu…
Hall Viscosity in the Non-Abelian Quantum Hall Matrix Model
Matthew F. Lapa, Carl Turner, Taylor L. Hughes +1
Quantum Hall matrix models are simple, solvable quantum mechanical systems which capture the physics of certain fractional quantum Hall states. Recently, it was shown that the Hall…
Mirror Symmetry and Bosonization in 2d and 3d
Andreas Karch, David Tong, Carl Turner
We study a supersymmetry breaking deformation of the 2d N=(2,2) cigar=Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-…
Bosonization in Non-Relativistic CFTs
Carl Turner
We demonstrate explicitly the correspondence between all protected operators in a 2+1 dimensional non-supersymmetric bosonization duality in the non-relativistic limit. Roughly spe…
ADHM and the 4d Quantum Hall Effect
Alec Barns-Graham, Nick Dorey, Nakarin Lohitsiri +2
Yang-Mills instantons are solitonic particles in d=4+1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted t…
The Conformal Spectrum of Non-Abelian Anyons
Nima Doroud, David Tong, Carl Turner
We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic non-relativistic mat…
Non-Abelian 3d Bosonization and Quantum Hall States
Djordje Radicevic, David Tong, Carl Turner
Bosonization dualities relate two different Chern-Simons-matter theories, with bosonic matter on one side replaced by fermionic matter on the other. We first describe a more genera…
A Matrix Model for WZW
Nick Dorey, David Tong, Carl Turner
We study a U(N) gauged matrix quantum mechanics which, in the large N limit, is closely related to the chiral WZW conformal field theory. This manifests itself in two ways. First,…
A Matrix Model for Non-Abelian Quantum Hall States
Nick Dorey, David Tong, Carl Turner
We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU(p) spin. The ground states of the mat…
On Superconformal Anyons
Nima Doroud, David Tong, Carl Turner
In d=2+1 dimensions, there exist field theories which are non-relativistic and superconformal. These theories describe two species of anyons, whose spins differ by 1/2, interacting…
Vortices and Monopoles in a Harmonic Trap
David Tong, Carl Turner
The Omega-deformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Here we explore the dynamics of BPS monopoles and v…
The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
David Tong, Carl Turner
We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of the fractional quantum Hall effect. The supersymmetry allows us to solve the theory analytical…
Quantum Dynamics of Supergravity on R^3 x S^1
David Tong, Carl Turner
We study the quantum dynamics of N=1 supergravity in four dimensions with a compact spatial circle. Supersymmetry ensures that the perturbative contributions to the Casimir energy…
On algebraically special vacuum spacetimes in five dimensions
Harvey S. Reall, Alexander A. H. Graham, Carl P. Turner
Vacuum solutions admitting a hypersurface-orthogonal repeated principal null direction are an important class of 4d algebraically special spacetimes. We investigate the 5d analogue…