Couplings for Compactifications
P. Berglund, T. H\"ubsch
TL;DR
This paper derives a general formula for Yukawa couplings in compactifications on ext{LGO}s and Calabi-Yau spaces, linking algebraic structures with physical ring structures in superconformal field theories.
Contribution
It establishes a unified formula connecting the classical Koszul ring, ext{LGO} chiral ring, and superconformal ring structures in compactification models.
Findings
Derived a general formula for Yukawa couplings.
Linked algebraic and physical ring structures.
Provided insights into the normalization of kinetic terms.
Abstract
A general formula is obtained for Yukawa couplings in compactification on \LGO{s} and corresponding \CY\ spaces. Up to the kinetic term normalizations, this equates the classical Koszul ring structure with the \LGO\ chiral ring structure and the true super\CFT\ ring structure.
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