Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry

Details Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry Quantum phase transitions beyond the Landau-Ginzburg paradigm and supersymmetry

2008-08-04

arxiv.org/abs/0808.0191v2

Annals of Physics 325, 2 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

19 pages

Scientific paper

10.1016/j.aop.2009.08.003

We make connections between studies in the condensed matter literature on quantum phase transitions in square lattice antiferromagnets, and results in the particle theory literature on abelian supersymmetric gauge theories in 2+1 dimensions. In particular, we point out that supersymmetric U(1) gauge theories (with particle content similar, but not identical, to those of theories of doped antiferromagnets) provide rigorous examples of quantum phase transitions which do not obey the Landau-Ginzburg-Wilson paradigm (often referred to as transitions realizing "deconfined criticality"). We also make connections between supersymmetric mirror symmetries and condensed matter particle-vortex dualities.

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