PlumX Metrics
Embed PlumX Metrics

Towards generalized mirror symmetry for twisted connected sum G manifolds

Journal of High Energy Physics, ISSN: 1029-8479, Vol: 2018, Issue: 3
2018
  • 18
    Citations
  • 0
    Usage
  • 5
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    18
    • Citation Indexes
      18
  • Captures
    5

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.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know