Non-hermitian holography
Daniel Areán, Karl Landsteiner, Ignacio Salazar Landea
SciPost Phys. 9, 032 (2020) · published 3 September 2020
- doi: 10.21468/SciPostPhys.9.3.032
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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.
Cited by 14
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Daniel Arean,
- 1 2 Karl Landsteiner,
- 3 Ignacio Salazar Landea
- 1 Universidad Autónoma de Madrid / Autonomous University of Madrid [UAM]
- 2 Consejo Superior de Investigaciones Científicas / Spanish National Research Council [CSIC]
- 3 Universidad Nacional de La Plata / National University of La Plata [UNLP]
- Comunidad de Madrid
- Secretaría de Estado de Investigacion, Desarrollo e Innovacion (through Organization: Ministerio de Economía, Industria y Competitividad / Ministry of Economy, Industry and Competitiveness [MINECO])