Holographic Complex Conformal Field Theories

Abstract

The loss of criticality in the form of weak first-order transitions or the end of the conformal window in gauge theories can be described as the merging of two fixed points that move to complex values of the couplings. When the complex fixed points are close to the real axis, the system typically exhibits walking behavior with Miransky (or Berezinsky-Kosterlitz-Thouless) scaling. We present a novel realization of these phenomena at strong coupling by means of the gauge/gravity duality, and give evidence for the conjectured existence of complex conformal field theories at the fixed points.

arXiv comment11 pages, 5 figures. v2 matches published version

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Cited by in corpus (20)

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• Is entanglement a probe of confinement?
• Charging the Walking U(N)$\times$U(N) Higgs Theory as a Complex CFT
• A Cornucopia of AdS${}_5$ Vacua
• Non-Hermitian Holography
• Reclaiming the Lost Conformality in a non-Hermitian Quantum 5-state Potts Model
• Holographic light dilaton at the conformal edge
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• Hidden Critical Points in the Two-Dimensional $O(n>2)$ model: Exact Numerical Study of a Complex Conformal Field Theory
• Soluble Fermionic Quantum Critical Point in Two Dimensions
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• Constraining Non-Relativistic RG Flows with Holography
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• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• SO(4) multicriticality of two-dimensional Dirac fermions
• One-loop algebras and fixed flow trajectories in adjoint multi-scalar gauge theory
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• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Non-perturbative Aspects of Quantum Field Theories from Holography