Representation theory of W-algebras and Higgs branch conjecture
Tomoyuki Arakawa
TL;DR
This paper surveys the representation theory of W-algebras and explores their connections with recent developments in four-dimensional N=2 superconformal field theories, highlighting interdisciplinary links between mathematics and physics.
Contribution
It provides a comprehensive overview of W-algebra representations and their relevance to modern theoretical physics, emphasizing new insights into the Higgs branch conjecture.
Findings
Summarizes key results in W-algebra representation theory
Establishes connections with 4D N=2 superconformal theories
Highlights implications for the Higgs branch conjecture
Abstract
We survey a number of results regarding the representation theory of -algebras and their connection with the resent development of the four dimensional superconformal field theories in physics.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Black Holes and Theoretical Physics · Advanced Topics in Algebra