Towards generalized mirror symmetry for twisted connected sum G manifolds
Journal of High Energy Physics, ISSN: 1029-8479, Vol: 2018, Issue: 3
2018
- 18Citations
- 5Captures
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Article Description
We revisit our construction of mirror symmetries for compactifications of Type II superstrings on twisted connected sum G manifolds. For a given G manifold, we discuss evidence for the existence of mirror symmetries of two kinds: one is an autoequivalence for a given Type II superstring on a mirror pair of G manifolds, the other is a duality between Type II strings with different chiralities for another pair of mirror manifolds. We clarify the role of the B-field in the construction, and check that the corresponding massless spectra are respected by the generalized mirror maps. We discuss hints towards a homological version based on BPS spectroscopy. We provide several novel examples of smooth, as well as singular, mirror G backgrounds via pairs of dual projecting tops. We test our conjectures against a Joyce orbifold example, where we reproduce, using our geometrical methods, the known mirror maps that arise from the SCFT worldsheet perspective. Along the way, we discuss non-Abelian gauge symmetries, and argue for the generation of the Affleck-Harvey-Witten superpotential in the pure SYM case.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85044239005&origin=inward; http://dx.doi.org/10.1007/jhep03(2018)082; https://link.springer.com/10.1007/JHEP03(2018)082; http://dx.doi.org/10.1007/jhep03%282018%29082; https://dx.doi.org/10.1007/jhep03%282018%29082; https://link.springer.com/article/10.1007/JHEP03(2018)082
Springer Science and Business Media LLC
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