Vortex-boson duality in four space-time dimensions

Details Vortex-boson duality in four space-time dimensions Vortex-boson duality in four space-time dimensions

2006-07-12

arxiv.org/abs/cond-mat/0607310v2

Europhys.Lett.77:47005,2007

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages REVTeX; for related work and info visit http://www.physics.ubc.ca/~franz

Scientific paper

10.1209/0295-5075/77/47005

A continuum version of the vortex-boson duality in (3+1) dimensions is formulated and its implications studied in the context of a pair Wigner crystal in underdoped cuprate superconductors. The dual theory to a phase fluctuating superconductor (or superfluid) is shown to be a theory of bosonic strings interacting through a Kalb-Ramond rank-2 tensorial gauge field. String condensation produces Higgs mass for the gauge field and the expected Wigner crystal emerges as an interesting space-time analog of the Abrikosov lattice.

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