# Deriving three-dimensional bosonization and the duality web

## TL;DR

This paper explicitly derives a three-dimensional bosonization duality and the associated duality web for Abelian theories using particle-vortex and Buscher-like dualities, providing a concrete foundation for previously conjectured dualities.

## Contribution

It provides the first explicit derivation of the Abelian bosonization duality and the three-dimensional duality web from fundamental dualities in a specific parameter regime.

## Key findings

- Derivation of Abelian bosonization duality from particle-vortex and Buscher-like dualities.
- Establishment of the three-dimensional duality web for theories with Chern-Simons terms.
- Connection of the duality web to Son's conjectured duality in a specific limit.

## 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.