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Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions

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arxiv hep-th/0612125 v1 pith:QYAV2PRD submitted 2006-12-13 hep-th

Min-xin Huang , Albrecht Klemm , Seth Quackenbush This is my paper · ORCID
classification hep-th
keywords boundarycalabi-yaucompactfunctionlocalspacestringtheory
verification ladder T0 review T1 audit T2 compute T3 formal
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The topological string partition function Z=exp(lambda^{2g-2} F_g) is calculated on a compact Calabi-Yau M. The F_g fulfill the holomorphic anomaly equations, which imply that Z transforms as a wave function on the symplectic space H^3(M,Z). This defines it everywhere in the moduli space of M along with preferred local coordinates. Modular properties of the sections F_g as well as local constraints from the 4d effective action allow us to fix Z to a large extend. Currently with a newly found gap condition at the conifold, regularity at the orbifold and the most naive bounds from Castelnuovos theory, we can provide the boundary data, which specify Z, e.g. up to genus 51 for the quintic.

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Cited by 6 Pith papers

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