# Superconformal algebras for generalized Spin(7) and G_2 connected sums

### Marc-Antoine Fiset, Mateo Galdeano

Marc-Antoine Fiset, Mateo Galdeano

**12/4/21**Published in : arXiv:2104.05716

Worldsheet string theory compactified on exceptional holomony manifolds is revisited following arXiv:1809.06376, where aspects of the chiral symmetry were described for the case where the compact space is a 7-dimensional G_2-holonomy manifold constructed as a Twisted Connected Sum. We reinterpret this result and extend it to Extra Twisted Connected Sum G_2-manifolds, and to 8-dimensional Generalized Connected Sum Spin(7)-manifolds. Automorphisms of the latter construction lead us to conjecture new mirror maps.