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WKB periods for higher order ODE and TBA equations
Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan..
Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan..
Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan..
Beijing Inst Math Sci & Applicat BIMSA, Beijing 101408, Peoples R China;Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.;Nordita SU.ORCID iD: 0000-0003-1890-7762
2021 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 10, article id 167Article in journal (Refereed) Published
Abstract [en]

We study the WKB periods for the (r + 1)-th order ordinary differential equation (ODE) which is obtained by the conformal limit of the linear problem associated with the A(r)((1)) affine Toda field equation. We compute the quantum corrections by using the Picard-Fuchs operators. The ODE/IM correspondence provides a relation between the Wronskians of the solutions and the Y-functions which satisfy the thermodynamic Bethe ansatz (TBA) equation related to the Lie algebra A(r). For the quadratic potential, we propose a formula to show the equivalence between the logarithm of the Y-function and the WKB period, which is confirmed by solving the TBA equation numerically.

Place, publisher, year, edition, pages
Springer Nature , 2021. no 10, article id 167
Keywords [en]
Bethe Ansatz, Conformal Field Theory, Integrable Field Theories, Supersymmetric Gauge Theory
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-304696DOI: 10.1007/JHEP10(2021)167ISI: 000710137800001Scopus ID: 2-s2.0-85117708076OAI: oai:DiVA.org:kth-304696DiVA, id: diva2:1610318
Note

QC 20211110

Available from: 2021-11-10 Created: 2021-11-10 Last updated: 2023-01-03Bibliographically approved

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