Non-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet

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dc.creatorHermele, Michael
dc.date2009-02-09
dc.date2009-05-19
dc.date.accessioned2026-07-07T13:18:23Z
dc.date.available2026-07-07T13:18:23Z
dc.descriptionSeveral recent works on quantum criticality beyond the Landau-Ginzburg-Wilson paradigm have led to a number of field theories, potentially important for certain two-dimensional magnetic insulating systems, where criticality is not very well understood. This situation highlights the need for non-perturbative information about criticality in two spatial dimensions (three space-time dimensions), which is a longstanding challenge. As a step toward addressing these issues, we present evidence that the O(4) vector model is dual to a theory of Dirac fermions coupled to both SU(2) and U(1) gauge fields. Both field theories arise as low-energy, long-wavelength descriptions of a frustrated XY model on the triangular lattice. Abelian boson-vortex duality of the lattice model, together with the emergence of larger non-abelian symmetry at low energies, leads to this rare example of duality in two spatial dimensions involving non-abelian global symmetry and fermions, but without supersymmetry. The duality can also be viewed as a bosonization of the Dirac fermion gauge theory.
dc.description12 pages + 3 appendices. 3 figures. Minor change, typos corrected
dc.identifierhttps://arxiv.org/abs/0902.1350
dc.identifierhttp://arxiv.org/abs/0902.1350
dc.identifierPhys. Rev. B 79, 184429 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.184429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231414
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleNon-abelian descendant of abelian duality in a two-dimensional frustrated quantum magnet
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