COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Solutions of the Bethe Ansatz Equations as Spectral Determinants

## Solutions of the Bethe Ansatz Equations as Spectral DeterminantsAdd to your list(s) Download to your calendar using vCal - Davide Masoero (Universidade de Lisboa)
- Tuesday 13 December 2022, 14:30-15:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. AR2W03 - Applicable resurgent asymptotics: summary workshop In 1998, Dorey and Tateo discovered that the Bethe Equations of the Quantum KdV model (an integrable quantum field theory) are exact quantisation conditions for the spectrum of a certain quantum anharmonic oscillator (ODE/IM correspondence); moreover, the eigenvalues of the latter operator should coincide with the Bethe roots for the ground state of Quantum KdV. In 2004, Bazhanov, Lukyanov & Zamolodhchikov conjectured that the Bethe roots for every state of the model are the eigenvalues of a linear differential operator, namely an anharmonic oscillator with a monster potential. This corresponds to the fact that exact quantisation conditions are NOT sufficient to determine the spectrum of a linear differential operator, but more information must be added, namely which energy levels are occupied or not. In this talk I provide an outline of the proof –conditional on the existence of a certain Puiseux series – of the BLZ conjecture, that I have recently obtained in collaboration with Riccardo Conti. In particular, I will present our large-momentum analysis of the Destri-De Vega equation for the Quantum KdV model, which allows us to classify solutions of the Bethe Equations. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsGeoscience in Context Art and Education Graduate Conference Partial Differential Equations seminar## Other talksThe neurobehavioural basis of compulsivity Nethermind: Zero-knowledge proofs. From theory to practice in less than 40 years Zooming in on Micro-Methods: Archaeometry and the Interpretation of Ancient Ceramics Gateway Advisory Board Rethinking the role of tokenization in the NLP pipeline Rare books and Anglo-Irish collecting in nineteenth century Cambridge |