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Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories (1908.03220v1)
Published 8 Aug 2019 in hep-th and cond-mat.str-el
Abstract: We construct supersymmetric Lifshitz field theories with four real supercharges in a general number of space dimensions. The theories consist of complex bosons and fermions and exhibit a holomorphic structure and non-renormalization properties of the superpotential. We study the theories in a diverse number of space dimensions and for various choices of marginal interactions. We show that there are lines of quantum critical points with an exact Lifshitz scale invariance and a dynamical critical exponent that depends on the coupling constants.
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