Superconformal algebras for twisted connected sums and G 2 mirror symmetry

Abstract

Abstract We realise the Shatashvili-Vafa superconformal algebra for G 2 string compactifications by combining Odake and free conformal algebras following closely the recent mathematical construction of twisted connected sum G 2 holonomy manifolds. By considering automorphisms of this realisation, we identify stringy analogues of two mirror maps proposed by Braun and Del Zotto for these manifolds.

Keywords

• Conformal Field Models in String Theory
• Conformal and W Symmetry
• Differential and Algebraic Geometry