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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Main Author:	Taizan Watari
Format:	Article
Language:	English
Published:	Elsevier 2016-11-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269316305007

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spelling	doaj-52d145c571c74edcbecac81237ad9d1f2020-11-25T00:31:53ZengElsevierPhysics Letters B0370-26932016-11-01762145150Vector-like pairs and Brill–Noether theoryTaizan Watari0Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa-no-ha 5-1-5, 277-8583, JapanHow 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.http://www.sciencedirect.com/science/article/pii/S0370269316305007
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Taizan Watari
spellingShingle	Taizan Watari Vector-like pairs and Brill–Noether theory Physics Letters B
author_facet	Taizan Watari
author_sort	Taizan Watari
title	Vector-like pairs and Brill–Noether theory
title_short	Vector-like pairs and Brill–Noether theory
title_full	Vector-like pairs and Brill–Noether theory
title_fullStr	Vector-like pairs and Brill–Noether theory
title_full_unstemmed	Vector-like pairs and Brill–Noether theory
title_sort	vector-like pairs and brill–noether theory
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2016-11-01
description	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.
url	http://www.sciencedirect.com/science/article/pii/S0370269316305007
work_keys_str_mv	AT taizanwatari vectorlikepairsandbrillnoethertheory
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Vector-like pairs and Brill–Noether theory

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