Integrability: From Statistical Systems to Gauge Theory: Lecture Notes

This volume, part of the Les Houches Summer School series, focuses on the application of integrability and problems in quantum field theory. The book brings together applications of integrability to supersymmetric gauge and string theory. Particular emphasis is given to the exact solution of planar N=4 super-Yang-Mills theory and its relation with string theory, as well as the exact determination of the low-energy physics of N=2 super-Yang-Mills theories. Links with other domains are also explored.

The purpose of the Les Houches Summer School was to bring together young researchers and specialists from various fields, including statistical physics, condensed matter physics, gauge and string theory, and mathematics, to stimulate discussion across these different research areas. The volume, number 106 in the Les Houches Summer School series, serves as a comprehensive resource, offering insights into the latest developments and applications of integrability in these diverse areas of study.

The book's structure and content reflect the interdisciplinary nature of the Les Houches Summer School, providing a platform for the exchange of ideas and the exploration of connections between seemingly disparate fields. By bringing together experts from various backgrounds, the school aimed to foster collaboration and drive forward the understanding of integrability and its implications in the realms of gauge and string theory, as well as in related areas of physics and mathematics.

The volume's chapters delve into the specifics of the research presented at the Les Houches Summer School, covering topics such as the exact solution of planar N=4 super-Yang-Mills theory, the interplay between this theory and string theory, and the exact determination of the low-energy physics of N=2 super-Yang-Mills theories. Additionally, the book explores the links between integrability and other domains, highlighting the versatility and broad applicability of this powerful mathematical tool.

Overall, this volume serves as a valuable resource for researchers, students, and anyone interested in the latest advancements in the fields of supersymmetric gauge and string theory, as well as the broader implications of integrability in the realms of physics and mathematics. The book's emphasis on interdisciplinary collaboration and the exchange of ideas reflects the spirit of the Les Houches Summer School, ensuring that readers gain a comprehensive understanding of the cutting-edge research presented at this prestigious event.

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