2000 character limit reached
Non-Abelian Orbifolds of Lattice Vertex Operator Algebras (1909.09626v1)
Published 20 Sep 2019 in math.QA, hep-th, math-ph, and math.MP
Abstract: We construct orbifolds of holomorphic lattice Vertex Operator Algebras for non-Abelian finite automorphism groups $G$. To this end, we construct twisted modules for automorphisms $g$ together with the projective representation of the centralizer of $g$ on the twisted module. This allows us to extract the irreducible modules of the fixed point VOA $VG$, and to compute their characters and modular transformation properties. We then construct holomorphic VOAs by adjoining such modules to $VG$. Applying these methods to extremal lattices in $d=48$ and $d=72$, we construct more than fifty new holomorphic VOAs of central charge 48 and 72, many of which have a very small number of light states.