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Spectral Networks

Name: Spectral Networks
Price: 193.75 AUD
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Bridging Higher-rank Teichmuller Theory and BPS States

By: Alexander Thomas, Valdo Tatitscheff, Georgios Kydonakis, Eugen Rogozinnikov, Clarence Kineider

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Paperback | 11 April 2026

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Format
Paperback

Dimensions(cm)
23.5 x 15.5

Paperback

$193.75

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Available: 11th April 2026

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This open access book offers a comprehensive introduction to spectral networks from a unified viewpoint that bridges geometry with the physics of supersymmetric gauge theories. It provides the foundational background needed to approach the frontiers of this rapidly evolving field, treating geometric and physical aspects in parallel. After surveying fundamental topics in algebra and geometry, a detailed introduction to higher-rank Teichm¼ller theory is developed, including Fockâ"Goncharov theory for Hitchin representations, maximal representations and the more recent notion of T-positivity. Spectral networks are subsequently introduced, emphasizing their utility in the study of character varieties via the abelianization and non-abelianization maps they define. In parallel, key aspects of four-dimensional gauge dynamics with eight supercharges are explored, including electricâ"magnetic duality, Seibergâ"Witten theory, and class S theories. The role of spectral networks as a framework for determining and analyzing BPS spectra in class S theories is then examined. The final chapter outlines recent applications of spectral networks across a range of contemporary research areas. This volume is intended for researchers and advanced students in either mathematics or physics who wish to enter the field.

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