Check-Operators and Quantum Spectral Curves
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Check-Operators and Quantum Spectral Curves
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| Creator |
Mironov, A.
Morozov, A. |
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| Description |
We review the basic properties of effective actions of families of theories (i.e., the actions depending on additional non-perturbative moduli along with perturbative couplings), and their description in terms of operators (called check-operators), which act on the moduli space. It is this approach that led to constructing the (quantum) spectral curves and what is now nicknamed the EO/AMM topological recursion. We explain how the non-commutative algebra of check-operators is related to the modular kernels and how symplectic (special) geometry emerges from it in the classical (Seiberg-Witten) limit, where the quantum integrable structures turn into the well studied classical integrability. As time goes, these results turn applicable to more and more theories of physical importance, supporting the old idea that many universality classes of low-energy effective theories contain matrix model representatives.
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| Date |
2019-02-18T16:14:30Z
2019-02-18T16:14:30Z 2017 |
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| Type |
Article
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| Identifier |
Check-Operators and Quantum Spectral Curves / A. Mironov, // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 123 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H70; 81R10; 81R12; 81T13 DOI:10.3842/SIGMA.2017.047 http://dspace.nbuv.gov.ua/handle/123456789/148583 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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