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Tong, David

Publications and source records attributed to Tong, David.

A web of 2d dualities: ${\bf Z}_2$ gauge fields and Arf invariants

We describe a web of well-known dualities connecting quantum field theories in d=1+1 dimensions. The web is constructed by gauging Z_2 Z 2 global symmetries and includes a number of perennial favourites such as the Jordan-Wigner transformation, Kramers-Wannier duality, bosonization of a Dirac fermion, and T-duality. There are also less-loved examples, such as non-modular invariant c=1 CFTs that depend on a background spin structure.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Mirror symmetry and bosonization in 2d and 3d

We study a supersymmetry breaking deformation of the N=(2,2) cigar = Liouville mirror pair, first introduced by Hori and Kapustin. We show that mirror symmetry flows in the infra-red to 2d bosonization, with the theories reducing to massive Thirring and Sine-Gordon respectively. The exact bosonization map emerges at one-loop. We further compactify non-supersymmetric 3d bosonization dualities on a circle and argue that these too flow to 2d bosonization at long distances.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

More Abelian dualities in 2 + 1 dimensions

We expand on the recent derivation of 3d dualities using bosonization. We present in some detail a general class of Abelian duals.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗