CFT description of the Fully Frustrated XY model and phase diagram analysis

Details CFT description of the Fully Frustrated XY model and phase diagram analysis CFT description of the Fully Frustrated XY model and phase diagram analysis

2006-06-19

arxiv.org/abs/hep-th/0606170v2

J.Stat.Mech.0611:P11009,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 1 figure, to appear in JSTAT

Scientific paper

10.1088/1742-5468/2006/11/P11009

Following a suggestion given in Nucl. Phys. B 300 (1988)611,we show how the U(1)*Z_{2} symmetry of the fully frustrated XY (FFXY) model on a square lattice can be accounted for in the framework of the m-reduction procedure developed for a Quantum Hall system at "paired states" fillings nu =1 (cfr. Cristofano et al.,Mod. Phys. Lett. A 15 (2000)1679;Nucl. Phys. B 641 (2002)547). The resulting twisted conformal field theory (CFT) with central charge c=2 is shown to well describe the physical properties of the FFXY model. In particular the whole phase diagram is recovered by analyzing the flow from the Z_{2} degenerate vacuum of the c=2 CFT to the infrared fixed point unique vacuum of the c=3/2 CFT. The last theory is known to successfully describe the critical behavior of the system at the overlap temperature for the Ising and vortex-unbinding transitions.

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