The paper develops reduction operators from resonance in GKZ systems to contract edges in Feynman graphs for one-loop, sunrise, and banana graphs, closing differential equation systems to master integrals.
Mirror Symmetry, Mirror Map and Applications to Calabi-Yau Hypersurfaces
3 Pith papers cite this work. Polarity classification is still indexing.
abstract
Mirror Symmetry, Picard-Fuchs equations and instanton corrected Yukawa couplings are discussed within the framework of toric geometry. It allows to establish mirror symmetry of Calabi-Yau spaces for which the mirror manifold had been unavailable in previous constructions. Mirror maps and Yukawa couplings are explicitly given for several examples with two and three moduli.
fields
hep-th 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
An algorithm builds Calabi-Yau orientifolds and F-theory fourfold uplifts from 6d reflexive polytopes derived from orientifold data, with code in CYTools and GitHub.
CIPro provides computational tools for complete intersection varieties and line bundles, including consolidated Calabi-Yau data for string theory applications.
citing papers explorer
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Resonance and Differential Reduction of Feynman Integrals
The paper develops reduction operators from resonance in GKZ systems to contract edges in Feynman graphs for one-loop, sunrise, and banana graphs, closing differential equation systems to master integrals.
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Calabi-Yau Orientifold Hypersurfaces and their F-theory Uplifts
An algorithm builds Calabi-Yau orientifolds and F-theory fourfold uplifts from 6d reflexive polytopes derived from orientifold data, with code in CYTools and GitHub.
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CIPro Package: Complete Intersections in Products of Projective Spaces and Line Bundles
CIPro provides computational tools for complete intersection varieties and line bundles, including consolidated Calabi-Yau data for string theory applications.