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Séminaire de Physique Théorique
# From PT Quantum Mechanics to PT Holography

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Europe/Paris

Salle 1180 (Bât E2) (IDP, Tours)
### Salle 1180 (Bât E2)

#### IDP, Tours

Institut Denis Poisson
Université de Tours
Facultés des Sciences et Techniques
Parc de Grandmont
37200 Tours

Description

Traditionally a Hamiltonian is taken to be a Hermitian operator on Hilbert space. It is however well-known that certain non-Hermitian operators give rise to meaningful quantum mechanics. This is the subject of PT-symmetric quantum mechanics. I will review the physical meaning and mathematical construction of such Hamiltonians. Then I will present a new holographic model that can be viewed as dual to a strongly coupled PT-symmetric quantum field theory. A particular emphasis will be given on the PT-phase transition at zero and finite temperature.