Quantum Mirror Map for Del Pezzo Geometries

Understand

Mirror maps play an important role in studying supersymmetric gauge theories.

• In these theories the dynamics is often encoded in an algebraic curve where two sets of periods enjoy the symplectic structure.
• The A-periods contribute to redefinitions of chemical potentials known as mirror maps.
• Using the quantization of the $D_5$ del Pezzo geometry, which enjoys the symmetry of the $D_5$ Weyl group, we are able to identify clearly the group-theoretical structure and the multi-covering structure for the mirror map.