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Deriving three-dimensional bosonization and the duality web

Research paper by Horatiu Nastase, Carlos Nunez

Indexed on: 23 Mar '17Published on: 23 Mar '17Published in: arXiv - High Energy Physics - Theory



Abstract

Recently, a duality web for three dimensional theories with Chern-Simons terms was proposed. This can be derived from a single bosonization type duality, for which various supporting arguments (but not a proof) were given. Here we explicitly derive this bosonization, in the Abelian case and for a particular regime of parameters. To do this, we use the particle-vortex duality in combination with a Buscher-like duality (both considered in the regime of low energies). As a corollary, Son's conjectured duality is derived in a somewhat singular limit of vanishing mass.