Resonances and PT symmetry in quantum curves

Article Article scientifique Article Resonances and PT symmetry in quantum curves eng 2020-04-23 2020 author Emery Yoan Geneva U., Dept. Theor. Phys. 727777 author Marino Beiras Marcos Geneva U., Dept. Theor. Phys. 628198 Section de mathématiques (MATH) author Ronzani Massimiliano Geneva U., Dept. Theor. Phys. 869621 150 10.1007/jhep04(2020)150 1029-8479 1902.08606 https://link.springer.com/10.1007/JHEP04(2020)150 In the correspondence between spectral problems and topological strings, it is natural to consider complex values for the string theory moduli. In the spectral theory side, this corresponds to non-Hermitian quantum curves with complex spectra and resonances, and in some cases, to PT-symmetric spectral problems. The correspondence leads to precise predictions about the spectral properties of these non-Hermitian operators. In this paper we develop techniques to compute the complex spectra of these quantum curves, providing in this way precision tests of these predictions. In addition, we analyze quantum Seiberg-Witten curves with PT symmetry, which provide interesting and exactly solvable examples of spontaneous PT-symmetry breaking. Discrete Symmetries Topological Strings Parity: time reversal String: topological Spectral PT symmetry Precision measurement String model Moduli Dewey 510 Dewey 500.2 37 Département de physique théorique 133 25 Section de mathématiques 11 false The journal of high energy physics 2020 4 83c6a68e-a616-4a0a-aad3-4dd8bfb919cc Article (Published version) Public Article_scientifique_from_unpaywall.pdf 923334 application/pdf CC BY-4.0 38a3b048e8ad831b48aea06a9eb1921725d876ed0c2e4e4fa4b4989af253d474 openAccess Faculté des sciences / Section de physique / Département de physique théorique Faculté des sciences / Section de mathématiques

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Resonances and PT symmetry in quantum curves	The journal of high energy physics			2020	71	733

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Ronzani, Massimiliano