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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Nonperturbative effects on seven-brane Yukawa couplings
Fernando Marchesano1, Luca Martucci
1CERN PH-TH Division, CH-1211 Geneva, Switzerland.
Physical Review Letters
|September 28, 2010
Summary
Nonperturbative corrections to superpotentials in string theory resolve issues with Yukawa couplings in F-theory models. These findings offer new insights into the structure of seven-brane gauge theories.
Area of Science:
- High-energy physics
- String theory
- Mathematical physics
Background:
- Seven-brane gauge theories arise in string theory compactifications.
- F-theory and type IIB string theory are frameworks for studying these theories.
- Holomorphic Yukawa couplings are crucial for particle physics phenomenology.
Purpose of the Study:
- To analyze nonperturbative corrections to the superpotential in specific string theory compactifications.
- To investigate how these corrections affect holomorphic Yukawa couplings.
- To address the Yukawa rank-one problem in F-theory local models.
Main Methods:
- Analysis of nonperturbative corrections to the superpotential.
- Calculation of modifications to holomorphic Yukawa couplings.
- Connection to noncommutative geometry via the Seiberg-Witten map.
Main Results:
- Nonperturbative corrections provide an exponentially suppressed contribution to Yukawa couplings.
- This correction offers a generic solution to the Yukawa rank-one problem in F-theory local models.
- Explicit expressions for the nonperturbative correction to the seven-brane superpotential are derived.
Conclusions:
- Nonperturbative effects are essential for understanding the phenomenology of F-theory models.
- The study establishes a link between nonperturbative corrections and noncommutative deformations.
- The findings contribute to the broader understanding of string theory compactifications and their relation to particle physics.
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