IIA string instanton corrections to the four-fermion correlator in the intersection of Del Pezzo surfaces
Andrei Cheshel (Kaiserslautern U.), Sergei V. Ketov (Tokyo, Metropolitan U.)
TL;DR
This paper calculates string instanton corrections to a four-fermion correlator in a specific Calabi-Yau compactification and derives related selection rules in a Pati-Salam GUT model.
Contribution
It provides an explicit computation of instanton corrections in a Calabi-Yau intersection of Del Pezzo surfaces and links these to GUT selection rules.
Findings
Explicit instanton correction formula derived
Selection rules for Pati-Salam GUT established
Enhanced understanding of string compactification effects
Abstract
The Becker-Becker-Strominger formula, describing the string world-sheet instanton corrections to the four-fermion correlator in the Calabi-Yau compactified type-IIA superstrings, is calculated in the special case of the Calabi-Yau threefold realized in the intersection of two Del Pezzo surfaces. We also derive the selection rules in the supersymmetric GUT of the Pati-Salam type associated with our construction.
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