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.
Compactness results and applications to some "zero mass" elliptic problems
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abstract
In this paper we present some compactness results, showing how they can be applied in dealing with "zero mass" problems by a variational approach. In particular we use our results in two different situations: we look for complex valued solutions of a very classical elliptic equation, and we study an elliptic problem on an axially symmetric unbounded domain.
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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.