Cluster Algebras and Supersymmetric Gauge Theories

Abstract

We review how the (quantum) cluster algebra naturally emerges in the study of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories.

arXiv commentintroductory review in Japanese, published in March 2015; 11 pages, 4 figures; v2: minor corrections

References in corpus (6)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• N=2 Quantum Field Theories and Their BPS Quivers
• Line operators on S^1xR^3 and quantization of the Hitchin moduli space
• Wilson loops in supersymmetric Chern-Simons-matter theories and duality
• The moduli space of vacua of N=2 class S theories