Some open questions in quiver gauge theory

• Autores: Jiakang Bao, Amihay Hanany, Yang-hui He, Edward Hirst
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. Extra 2, 2022 (Ejemplar dedicado a: Special Issue on Open Questions in Geometry), págs. 355-386
• Idioma: inglés
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• Resumen

  • Quivers, gauge theories and singular geometries are of great interest in both mathematics and physics. In this note, we collect a few open questions which have arisen in various recent works at the intersection between gauge theories, representation theory, and algebraic geometry. The questions originate from the study of supersymmetric gauge theories in different dimensions with different supersymmetries. Although these constitute merely the tip of a vast iceberg, we hope this guide can give a hint of possible directions in future research.