4.7 Article

Particle-Vortex Duality from 3D Bosonization

Journal

PHYSICAL REVIEW X
Volume 6, Issue 3, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevX.6.031043

Keywords

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Funding

  1. US Department of Energy [DE-SC0011637]
  2. STEC
  3. European Research Council under the European Union's Seventh Framework Programme, ERC Grant [STG 279943]
  4. STFC [ST/L000385/1] Funding Source: UKRI
  5. Science and Technology Facilities Council [ST/L000385/1] Funding Source: researchfish

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We show how particle-vortex duality in d = 2 + 1 dimensions arises as part of an intricate web of relationships between different field theories. The starting point is bosonization, a conjectured duality that uses flux attachment to transmute the statistics of relativistic particles. From this seed, we derive many old and new dualities. These include particle-vortex duality for bosons as well as the recently discovered counterpart for fermions.

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