SciPost Submission Page
Non-Hermitian Holography
by Daniel Areán, Karl Landsteiner, Ignacio Salazar Landea
Submission summary
| Authors (as registered SciPost users): | Karl Landsteiner |
| Submission information | |
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| Preprint Link: | scipost_202007_00057v1 (pdf) |
| Date accepted: | Aug. 10, 2020 |
| Date submitted: | July 13, 2020, 2 a.m. |
| Submitted by: | Karl Landsteiner |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Quantum theory can be formulated with certain non-Hermitian Hamiltonians. An anti-linear involution, denoted by PT, is a symmetry of such Hamiltonians. In the PT-symmetric regime the non-Hermitian Hamiltonian is related to a Hermitian one by a Hermitian similarity transformation. We extend the concept of non-Hermitian quantum theory to gauge-gravity duality. Non-Hermiticity is introduced via boundary conditions in asymptotically AdS spacetimes. At zero temperature the PT phase transition is identified as the point at which the solutions cease to be real. Surprisingly at finite temperature real black holes solutions can be found well outside the quasi-Hermitian regime. These backgrounds are however unstable to fluctuations which establishes the persistence of the holographic dual of the PT phase transition at finite temperature.
Published as SciPost Phys. 9, 032 (2020)
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However, I do not consider this an important enough point to further delay acceptance of this nice work.
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In my opinion, the paper satisfies the general criteria of SciPost and the holographic realization of a non-Hermitian strongly coupled system is a novel result that can lead to future interesing developments in this direction, so I recommend that it is published.