Volume 77, Number 4, February 2007
Article Number 47005
Number of page(s) 5
Section Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
Published online 12 February 2007
EPL, 77 (2007) 47005
DOI: 10.1209/0295-5075/77/47005

Vortex-boson duality in four space-time dimensions

M. Franz

Department of Physics and Astronomy, University of British Columbia - Vancouver, BC, V6T 1Z1 Canada

received 8 November 2006; accepted in final form 21 December 2006; published February 2007
published online 12 February 2007

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.

74.72.-h - Cuprate superconductors (high-Tc and insulating parent compounds).
74.20.-z - Theories and models of superconducting state.
11.25.Tq - Gauge/string duality.

© Europhysics Letters Association 2007