A new class of N=2 holomorphic Lifshitz supersymmetric models is shown to possess exact lines of quantum critical fixed points with coupling-dependent dynamical exponent z.
A New Theory of Anyons
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abstract
We study a 2+1 dimensional theory of bosons and fermions with an omega ~ k^2 dispersion relation. The most general interactions consistent with specific symmetries impart fractional statistics to the fermions. Unlike examples involving Chern-Simons gauge theories, our statistical phases derive from the exchange of gapless propagating bosons with marginal interactions. Even though no gap exists, we show that the anyonic statistics are precisely defined. Symmetries combine with the vacuum structure to guarantee the non-renormalization of our anyonic phases.
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Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
A new class of N=2 holomorphic Lifshitz supersymmetric models is shown to possess exact lines of quantum critical fixed points with coupling-dependent dynamical exponent z.