Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2020)150
Keywords
Discrete Symmetries; Topological Strings
Categories
Funding
- Fonds National Suisse [200020-175539]
- Swiss-NSF grant [NCCR 51NF40-182902]
- Friuli Venezia Giulia autonomous Region Operational Program of the European Social Fund 2014/2020, project HEaD -HIGHER EDUCATION AND DEVELOPMENT SISSA OPERAZIONE 3 [CUP G32F16000080009]
- INFN via Iniziativa Specifica GAST
- National Group of Mathematical Physics (GNFM-INdAM)
- Swiss National Science Foundation (SNF) [200020_175539] Funding Source: Swiss National Science Foundation (SNF)
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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.
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