Strongly Coupled PT-Symmetric Models in Holography

• URL: http://arxiv.org/abs/2411.18471v1
• Date: Wed, 27 Nov 2024 16:07:38 GMT
• Title: Strongly Coupled PT-Symmetric Models in Holography
• Authors: Daniel Arean, David Garcia-Fariña, Karl Landsteiner,
• Abstract summary: We review the construction of holographic duals to strongly coupled PT-symmetric quantum field theories.<n>We focus on spacetime-dependent non-Hermitian couplings: non-Hermitian quenches and lattices.<n>Remarkably, these non-Hermitian lattices flow to a PT-symmetric fixed point in the IR.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if PT-symmetry is respected, and in that case an equivalent Hermitian description exists via the so-called Dyson map. Generically, PT-symmetric non-Hermitian theories can also feature phases where PT-symmetry is broken and unitarity is lost. We review the construction of holographic duals to strongly coupled PT-symmetric quantum field theories and the study of their phase diagram. We next focus on spacetime-dependent non-Hermitian couplings: non-Hermitian quenches and lattices. They violate the null energy condition in the gravity dual. The lattices realize phases supporting an imaginary current that breaks PT-symmetry spontaneously. Remarkably, these non-Hermitian lattices flow to a PT-symmetric fixed point in the IR.

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