Strings in Twistor Superspace and Mirror Symmetry

Abstract

We obtain the super-Landau-Ginzburg mirror of the A-twisted topological sigma model on a twistor superspace -- the quadric in CP^{3|3} x CP^{3|3} which is a Calabi-Yau supermanifold. We show that the B-model mirror has a geometric interpretation. In a particular limit for one of the Kaehler parameters of the quadric, we show that the mirror can be interpreted as the twistor superspace CP^{3|4}. This agrees with the recent conjecture of Neitzke and Vafa proposing a mirror equivalence between the two twistor superspaces.

12 pages, uses harvmac

References in corpus (2)

• N=2 strings and the twistorial Calabi-Yau
• Mirror Symmetry and Supermanifolds

Cited by in corpus (19)

• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• An ambitwistor Yang-Mills Lagrangian
• Topological B-Model on Weighted Projective Spaces and Self-Dual Models in Four Dimensions
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• The Sigma Model on Complex Projective Superspaces
• Super-Chern-Simons Theory as Superstring Theory
• The Topological B-Model on Fattened Complex Manifolds and Subsectors of N=4 Self-Dual Yang-Mills Theory
• Self-Dual Supergravity and Twistor Theory
• On gauge/string correspondence and mirror symmetry
• Super Calabi-Yau's and Special Lagrangians
• N=2 Superconformal Symmetry in Super Coset Models
• Gauged Linear Sigma Model on Supermanifold
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• String Theories on Flat Supermanifolds
• Superconformal Symmetry in Linear Sigma Model on Supermanifolds
• Integration of Superforms and Super-Thom Class
• Supermanifolds from Feynman graphs
• Twistor Spaces, Mirror Symmetry and Self-dual Kahler Manifolds
• (0,2) Gauged Linear Sigma Model on Supermanifold