Superconformal algebras for twisted connected sums and G 2 mirror symmetry

摘要

A bstract 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.