Emergent Geometry and Mirror Symmetry of A Point

Abstract

By considering the partition function of the topological 2D gravity, a conformal field theory on the Airy curve emerges as the mirror theory of Gromov-Witten theory of a point. In particular, a formula for bosonic n-point functions in terms of fermionic 2-point function for this theory is derived.

References in corpus (7)

• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
• Correlation functions of the KdV hierarchy and applications to intersection numbers over ${\overline{\mathcal{M}}}_{g,n}$
• Explicit Formula for Witten-Kontsevich Tau-Function
• Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
• Relations on Mbar_{g,n} via 3-spin structures
• Quantum Deformation Theory of the Airy Curve and Mirror Symmetry of a Point
• Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function

Cited by in corpus (20)

• BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic $N$-Point Functions
• Fat and Thin Emergent Geometries of Hermitian One-Matrix Models
• Genus Expansions of Hermitian One-Matrix Models: Fat Graphs vs. Thin Graphs
• Grothendieck's Dessins d'Enfants in a Web of Dualities. III
• Grothendieck's Dessins d'Enfants in a Web of Dualities. II
• Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$
• Multi-boundary correlators in JT gravity
• $q$-Difference Kac-Schwarz Operators in Topological String Theory
• A formalism of abstract quantum field theory of summation of fat graphs
• A proof of loop equations in 2d topological gravity
• Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected $(n,m)$-Point Functions, and Double Hurwitz Numbers
• Frobenius Manifolds, Spectral Curves, and Integrable Hierarchies
• On the large genus asymptotics of psi-class intersection numbers
• On tau-functions for the KdV hierarchy
• Fermionic Computations for Integrable Hierarchies
• Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbers
• Topological 1D Gravity, KP Hierarchy, and Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$
• On affine coordinates of the tau-function for open intersection numbers
• A Remark on Equivalence between Two Formulas of the Two point Witten-Kontsevich Correlators
• On Emergent Geometry of the Gromov-Witten Theory of Quintic Calabi-Yau Threefold