Comments on chiral algebras and Ω-deformations

Abstract

Abstract Every six-dimensional N $$ \mathcal{N} $$ = (2, 0) SCFT on R 6 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 N $$ \mathcal{N} $$ = (2, 0) theory on R 6 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 R 4 transverse to the chiral algebra plane.

Keywords

• Conformal Field Theory
• Field Theories in Higher Dimensions
• Supersymmetric Gauge Theory