Orbifold family unification

Kawamura, Yoshiharu; Kinami, Teppei; Oda, Kin-ya

doi:10.1103/physrevd.76.035001

Cited by 29 publications

(54 citation statements)

References 39 publications

(44 reference statements)

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“…On two-dimensional torus T 2 (without magnetic flux), not only the simplest Z 2 case, also more complicated twisted orbifolds T 2 /Z N for N = 3, 4, 6 can be constructed [47] and their geometrical aspects are discussed [51][52][53] within the context of string theory. In a higherdimensional field theory, detailed studies of SU(N ) and SO(N ) gauge theory have been carried out [54][55][56][57][58]. Furthermore on T 6 , which has much amount of degrees of freedom compared with T 2 , other complex patterns are possible like T 6 /Z 7 , T 6 /Z 8 , T 6 /Z 12 and so on.…”

Section: Introductionmentioning

confidence: 98%

Operator analysis of physical states on magnetized T2/ZN orbifolds

Abe¹,

Fujimoto²,

Kobayashi³

et al. 2015

Nuclear Physics B

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We discuss an effective way for analyzing the system on the magnetized twisted orbifolds in operator formalism, especially in the complicated cases T 2 /Z 3 , T 2 /Z 4 and T 2 /Z 6 . We can obtain the exact and analytical results which can be applicable for any larger values of the quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms are generated via our formalism and the number of the surviving physical states are calculable in a rigorous manner by simply following usual procedures in linear algebra in any case. Our approach is very powerful when we try to examine properties of the physical states on (complicated) magnetized orbifolds T 2 /Z 3 , T 2 /Z 4 , T 2 /Z 6 (and would be in other cases on higher-dimensional torus) and could be an essential tool for actual realistic model construction based on these geometries. (Note: This article is registered under preprint number: arXiv:1409.5421.)

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Section: Introductionmentioning

confidence: 98%

Operator analysis of physical states on magnetized T2/ZN orbifolds

Abe¹,

Fujimoto²,

Kobayashi³

et al. 2015

Nuclear Physics B

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“…Alternatively, one could simply compactify two of the six dimensions on a two torus T 2 , wrap the 7-branes around it and take an orbifold (see e.g. [124,125] and references therein) to reduce the SUSY, thereby imposing a boundary condition such that the massless fields with, say, positive Y -charges are projected out. This would lead to the same effect as turning on a Higgs field, and hence is an effective and efficient way.…”

Section: Orbifolds and Anomaliesmentioning

confidence: 99%

F-theory family unification

Mizoguchi

2014

J. High Energ. Phys.

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We propose a new geometric mechanism for naturally realizing unparallel three families of flavors in string theory, using the framework of F-theory. We consider a set of coalesced local 7-branes of a particular Kodaira singularity type and allow some of the branes to bend and separate from the rest, so that they meet only at an intersection point. Such a local configuration can preserve supersymmetry. Its matter spectrum is investigated by studying string junctions near the intersection, and shown to coincide, after an orbifold projection, with that of a supersymmetric coset sigma model whose target space is a homogeneous Kähler manifold associated with a corresponding painted Dynkin diagram. In particular, if one starts from the E 7 singularity, one obtains the E 7 /(SU(5) × U(1) 3 ) model yielding precisely three generations with an unparallel family structure. Possible applications to string phenomenology are also discussed.

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“…[16]. 2 We investigate whether or not three families are derived from a single bulk multiplet of SO(2N) for several orbifold symmetry breaking patterns.…”

Section: Introductionmentioning

confidence: 99%