Vector-like pairs and Brill–Noether theory
How likely is it that there are particles in a vector-like pair of representations in low-energy spectrum, when neither symmetry nor anomaly consideration motivates their presence? We address this question in the context of supersymmetric and geometric phase compactification of F-theory and Heteroti...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316305007 |
| Summary: | How likely is it that there are particles in a vector-like pair of representations in low-energy spectrum, when neither symmetry nor anomaly consideration motivates their presence? We address this question in the context of supersymmetric and geometric phase compactification of F-theory and Heterotic dual. Quantisation of the number of generations (or net chiralities in more general term) is also discussed along the way. Self-dual nature of the fourth cohomology of Calabi–Yau fourfolds is essential for the latter issue, while we employ Brill–Noether theory to set upper bounds on the number ℓ of vector-like pairs of chiral multiplets in the SU(5)GUT (5+5¯) representations. For typical topological choices of geometry for F-theory compactification for SU(5) unification, the range of 0≤ℓ≲4 for perturbative unification is not in immediate conflict with what is already understood about F-theory compactification at this moment. |
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| ISSN: | 0370-2693 |