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arxiv: 1507.01679 · v1 · submitted 2015-07-07 · 🧮 math-ph · math.MP· math.SG

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Emergent Geometry and Mirror Symmetry of A Point

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classification 🧮 math-ph math.MPmath.SG
keywords theorypointfunctionmirrorairybosonicconformalconsidering
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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.

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    Proves explicit correspondences between the generalized Kontsevich model with polynomial potentials, topological recursion, and r-spin moduli geometry, with extension to deformed potentials yielding a deformed r-spin theory.