Скачать или смотреть Niklas Garner - On BRST Complexes of Graded Unitary VOAs

31.10.2025 at Quiver Meeting

Niklas Garner (University of Oxford) - On BRST Complexes of Graded Unitary VOAs

Vertex operator algebras (VOAs) arise in many corners of supersymmetric quantum fsuperconformal gauge theories, where the resulting BRST complex bears a striking resemblance to the de Rham complex of a compact Kählerology of a suitable supercharge. As shown in work of Ardehali, Beem, Lemos, and Rastelli (arXiv:2507.23781), unitarity of the underlying SCFT has is imprinted on this VOA, leading the notion of graded unitarity. After reviewing their construction, I will describe several consequences in the context of superconformal gauge theories, where the resulting BRST complex bears a striking resemblance to the de Rham complex of a compact Kähler manifolds. This talk is based on the preprint arXiv:2509.10364 with C. Beem.