Instanton Counting, Quantum Geometry and Algebra

Autor: Kimura, Taro

Publikováno v: Mathematical Physics [math-ph]. Université Bourgogne-Franche-Comté, 2020
Springer International Publishing, 2021, Mathematical Physics Studies, ⟨10.1007/978-3-030-76190-5⟩
Mathematical Physics Studies ISBN: 9783030761899

The aim of this memoir for "Habilitation \`a Diriger des Recherches" is to present quantum geometric and algebraic aspects of supersymmetric gauge theory, which emerge from non-perturbative nature of the vacuum structure induced by instantons. We sta

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc13c22dc3a8372db99e61bf03cf9c8c
http://arxiv.org/abs/2012.11711

Separation of Variables and Correlation Functions of Quantum Integrable Systems

Autor: Pei, Hao

Publikováno v: Mathematical Physics [math-ph]. Université Paris-Saclay, 2020. English. ⟨NNT : 2020UPASP081⟩

The aim of this thesis is to develop an approach for computing correlation functions of quantum integrable lattice models within the quantum version of the Separation of Variables (SoV) method. SoV is a powerful method which applies to a wide range o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______212::596555847552ad396e3398a21b077d14
https://tel.archives-ouvertes.fr/tel-03366182/document

Sur l'intégrabilité algébrique des systèmes de Bogoyavlenskij-Itoh déformés à 5 particules

Autor: LEON, Carlos

Publikováno v: Géométrie algébrique [math.AG]. Université de Poitiers-Faculté des Sciences Fondamentales et Appliquées, 2020. Français
Géométrie algébrique [math.AG]. Université de Poitiers, 2020. Français

This thesis is devoted to the study of the algebraic integrability of the deformed 5-particle Bogoyavlenskij-Itoh systems. We rely on the method described by the Kowalevski-Painlevé analysis to establish this integrability result. In addition, we sh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::07b530b66b9b4b9449830ed302e0912d
https://tel.archives-ouvertes.fr/tel-03235713

A diagrammatic approach towards the thermodynamics of integrable systems

Autor: Vu, Dinh-Long

Publikováno v: High Energy Physics-Theory [hep-th]. Université Paris-Saclay, 2020. English. ⟨NNT : 2020UPASS143⟩

In this thesis, we seek to replace the traditional derivation of the Thermodynamic Bethe Ansatz (TBA) by a new method of direct summation. The key idea is to use the matrix-tree theorem to write the Gaudin determinant appearing in the cluster expansi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::f83282c56ee834d9db61b75acac6c59d
https://tel.archives-ouvertes.fr/tel-02928343

Fonctions à un point dans le modèle de sine-Gordon supersymétrique

Autor: Babenko, Constantin

Publikováno v: High Energy Physics-Theory [hep-th]. Sorbonne Université, 2019. English. ⟨NNT : 2019SORUS040⟩

This PhD thesis addresses the problem of the calculation of the one point functions (1PF) in integrable two-dimensional quantum field theories. A method for their calculation has been developed in the context of the sine-Gordon Theory. The integrabil

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______2592::7805aa3d05ee0ba8ab7625d2f1075279
https://tel.archives-ouvertes.fr/tel-02935862v2/file/these_babenko_constantin_2019.pdf