133 citations · 365 across the 17 of their papers we have counts for
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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…
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,…
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…