Comments on chiral algebras and Ω-deformations

Internet publication

Every six-dimensional $\mathcal{N}$=(2,0) SCFT on R⁶ contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra. We provide an alternative construction of this chiral algebra by performing an $Ω$-deformation of a topological-holomorphic twist of the $\mathcal{N}$=(2,0) theory on R⁶ and restricting to the cohomology of a specific supercharge. In addition, we show that the central charge of the chiral algebra can be obtained by performing equivariant integration of the anomaly polynomial of the six-dimensional theory. Furthermore, we generalize this construction to include orbifolds of the R⁴ transverse to the chiral algebra plane.

Authors: Bobev, N; Bomans, P; Gautason, FF

• Publication status: Published
• Peer review status: Not peer reviewed
• Host title: arXiv
• Publication date: 2020-10-05
• DOI: 10.48550/arXiv.2010.02267
• Language: English