Towards logarithmic representation theory of W-algebras (2021-2024)
Abstract
Aims: To construct and analyse indecomposable representations of significance in conformal field theory. nnSignificance: Conformal field theory plays a key role in many developments in mathematics and physics. Logarithmic conformal field theories govern important systems such as two-dimensional critical percolation. This proposal aims to develop the representation theory necessary for understanding salient features of critical systems described by logarithmic conformal field theory. nnExpected Outcomes: Novel representations of fundamental importance in logarithmic conformal field theory.nnBenefit: Resolution of open problems in logarithmic conformal field theory, thus continuing the strong tradition in the field in Australia. n
