ODEIM Correspondence and Quantum Periods

booksz

U P L O A D E R
527ad6c11502bd7134e8256424faf592.webp

Free Download ODE/IM Correspondence and Quantum Periods
English | 2025 | ISBN: 9819604982 | 135 Pages | PDF EPUB (True) | 12 MB
This book is intended to review some recent developments in quantum field theories and integrable models. The ODE/IM correspondence, which is a nontrivial relation between the spectral analysis of ordinary differential equations and the functional relation approach to two-dimensional quantum integrable models, is the main subject. This correspondence was first discovered by Dorey and Tateo (and Bazhanov, Lukyanov, and Zamolodchikov) in 1998, where the relation between the Schrodinger equation with a monomial potential and the functional equation called the Y-system was found. This correspondence is an example of the mysterious link between classical and quantum integrable systems, which produces many interesting applications in mathematical physics, including exact WKB analysis, the quantum Seiberg-Witten curve, and the AdS-CFT correspondence. In this book, the authors explain some basic notions of the ODE/IM correspondence, where the ODE can be formulated as a linear problem associated with affine Toda field equations. The authors then apply the approach of the ODE/IM correspondence to the exact WKB periods in quantum mechanics with a polynomial potential. Deformation of the potential leads to wall-crossing phenomena in the TBA equations. The exact WKB periods can also be regarded as the quantum periods of the four-dimensional N=2 supersymmetric gauge theories in the Nekrasov-Shatashvili limit of the Omega background. The authors also explain the massive version of the ODE/IM correspondence based on the affine Toda field equations, which also has an application to the minimal surface, and the gluon scattering amplitudes in the AdS/CFT correspondence.



Code:
Bitte Anmelden oder Registrieren um Code Inhalt zu sehen!
Links are Interchangeable - Single Extraction
 
Kommentar

In der Börse ist nur das Erstellen von Download-Angeboten erlaubt! Ignorierst du das, wird dein Beitrag ohne Vorwarnung gelöscht. Ein Eintrag ist offline? Dann nutze bitte den Link  Offline melden . Möchtest du stattdessen etwas zu einem Download schreiben, dann nutze den Link  Kommentieren . Beide Links findest du immer unter jedem Eintrag/Download.

Data-Load.me | Data-Load.ing | Data-Load.to | Data-Load.in

Auf Data-Load.me findest du Links zu kostenlosen Downloads für Filme, Serien, Dokumentationen, Anime, Animation & Zeichentrick, Audio / Musik, Software und Dokumente / Ebooks / Zeitschriften. Wir sind deine Boerse für kostenlose Downloads!

Ist Data-Load legal?

Data-Load ist nicht illegal. Es werden keine zum Download angebotene Inhalte auf den Servern von Data-Load gespeichert.
Oben Unten