Introduction to Quantum Integrability
by A. Doikou, S. Evangelisti, G. Feverati, N. Karaiskos
Publisher: arXiv 2010
Number of pages: 56
The authors review the basic concepts regarding quantum integrability. Special emphasis is given on the algebraic content of integrable models. The associated algebras are essentially described by the Yang-Baxter and boundary Yang-Baxter equations depending on the choice of boundary conditions.
Home page url
Download or read it online for free here:
by Boris Dubrovin - SISSA
These are lecture notes on various topics in analytic theory of differential equations: Singular points of solutions to analytic differential equations; Monodromy of linear differential operators with rational coefficients.
by Karl Svozil - Edition Funzl
This book presents the course material for mathemathical methods of theoretical physics intended for an undergraduate audience. The author most humbly presents his own version of what is important for standard courses of contemporary physics.
by Douglas Lundholm, Lars Svensson - arXiv
These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.
by Cumrun Vafa, Eric Zaslow - American Mathematical Society
The book provides an introduction to the field of mirror symmetry from both a mathematical and physical perspective. After covering the relevant background material, the monograph is devoted to the proof of mirror symmetry from various viewpoints.