Superconformal algebras for twisted connected sums and $G_2$ mirror symmetry
High Energy Physics - Theory
2018-12-24 v1 Quantum Algebra
Abstract
We realise the Shatashvili-Vafa superconformal algebra for string compactifications by combining Odake and free conformal algebras following closely the recent mathematical construction of twisted connected sum 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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Cite
@article{arxiv.1809.06376,
title = {Superconformal algebras for twisted connected sums and $G_2$ mirror symmetry},
author = {Marc-Antoine Fiset},
journal= {arXiv preprint arXiv:1809.06376},
year = {2018}
}
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29 pages