Superconformal algebras for twisted connected sums and G₂ mirror symmetry
classification
✦ hep-th
math.QA
keywords
algebrasconnectedmanifoldsmirrorsuperconformaltwistedalgebraanalogues
read the original 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.
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