English

Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories

High Energy Physics - Theory 2019-11-19 v1 Strongly Correlated Electrons

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.

Keywords

Cite

@article{arxiv.1908.03220,
  title  = {Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories},
  author = {Igal Arav and Yaron Oz and Avia Raviv-Moshe},
  journal= {arXiv preprint arXiv:1908.03220},
  year   = {2019}
}

Comments

54 pages, 10 figures

R2 v1 2026-06-23T10:43:17.542Z