On four-dimensional compactifications of F-theory

Bershadsky, M.; Johansen, A.; Pantev, Tony; Sadov, Vladimir

doi:10.1016/s0550-3213(97)00393-3

Cited by 124 publications

(330 citation statements)

References 42 publications

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“…It is unlikely that those Yukawa couplings are generated in Type IIA or Type IIB string theories. But, we know that at least in Heterotic theories, compactification of the E 8 × E 8 theory can provide such a Yukawa coupling, and it is also clear from the Heterotic-M-theory duality [15] and Heterotic-Ftheory duality [16,17,18,19,20] that both M-theory and F-theory can describe such Yukawa coupling, as well. Although the description will not be available within the Type IIA or IIB limits, M-theory and F-theory can describe the Yukawa couplings.…”

Section: Up-type Quark Yukawa Couplings From E 6 Symmetrymentioning

confidence: 99%

“…Since the symmetry breaking of U(1) χ (and B−L) is triggered not by an F-term, but by the D-term, fields with opposite charges do not have to develop expectation values even when the symmetry is spontaneously broken. 20 As long as χ(10 ′ ) is negative, such chiral matters can form a mass term W ∋ 10 · ( N 10 ′ ) and do not necessarily appear in the low-energy spectrum. Thus, (41) does not have to be imposed when the Fayet-Iliopoulos parameter is non-zero.…”

Section: Effective Superpotentialmentioning

confidence: 99%

“…is a K3-fibration [17,18,19,20]. For vacua that fall into the category of Heterotic-F-theory dual, some region of the moduli space is described better by the Heterotic theory but other regions are better described by F-theory.…”

Section: F-theory Vacuamentioning

confidence: 99%

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Proton decay, Yukawa couplings and underlying gauge symmetry in string theory

2006

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In string theory, massless particles often originate from a symmetry breaking of a large gauge symmetry G to its subgroup H. The absence of dimension-4 proton decay in supersymmetric theories suggests that (D, L) are different fromH(5) in their origins. In this article, we consider a possibility that they come from different irreducible components in g/h. Requiring that all the Yukawa coupling constants of quarks and leptons be generated from the super Yang-Mills interactions of G, we found in the context of Georgi-Glashow H = SU(5) unification that the minimal choice of G is E 7 and E 8 is the only alternative. This idea is systematically implemented in Heterotic String, M theory and F theory, confirming the absence of dimension 4 proton decay operators. Not only H = SU(5) but also G constrain operators of effective field theories, providing non-trivial information.

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Section: Up-type Quark Yukawa Couplings From E 6 Symmetrymentioning

confidence: 99%

Section: Effective Superpotentialmentioning

confidence: 99%

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Proton decay, Yukawa couplings and underlying gauge symmetry in string theory

2006

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“…where the spectral cover mσ consists of m coincident sections, called a non-reduced surface [12]. Although of rank m, π * M splits into a direct sum of m one-dimensional spaces over each point in the base B.…”

Section: Reducible Vector Bundlesmentioning

confidence: 99%

“…It was shown in [7,8] that Hermitian Yang-Mills instantons can be described in terms of smooth, semi-stable, holomorphic vector bundles. Using, and extending, mathematical techniques introduced in [9,10,11,12], it was demonstrated in a series of papers [13,14,15] that there are phenomenologically relevant, anomaly free vacuum solutions. These vacua That is, the vacuum can undergo a "chirality-changing" phase transition.…”

Section: Introductionmentioning

confidence: 99%

Small instanton transitions in heterotic M-theory

Ovrut¹,

Pantev²,

Park³

2000

J. High Energy Phys.

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142

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We discuss non-perturbative phase transitions, within the context of heterotic M-theory, which occur when all, or part, of the wrapped five-branes in the fivedimensional bulk space come into direct contact with a boundary brane. These transitions involve the transformation of the five-brane into a "small instanton" on the Calabi-Yau space at the boundary brane, followed by the "smoothing out" of the small instanton into a holomorphic vector bundle. Small instanton phase transitions change the number of families, the gauge group or both on the boundary brane, depending upon whether a base component, fiber component or both components of the five-brane class are involved in the transition. We compute the conditions under which a small instanton phase transition can occur and present a number of explicit, phenomenologically relevant examples.

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Andreas

1999

Fortschr. Phys.

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We review aspects of N = 1 duality between the heterotic string and F‐theory. After a description of string duality intended for the non‐specialist the framework and the constraints for heterotic/F‐theory compactifications are presented. The computations of the necessary Calabi‐Yau manifold and vector bundle data, involving characteristic classes and bundle moduli, are given in detail. The matching of the spectrum of chiral multiplets and of the number of heterotic five‐branes respectively F‐theory three‐branes, needed for anomaly cancellation in four‐dimensional vacua, is pointed out. Several examples of four‐dimensional dual pairs are constructed where on both sides the geometry of the involved manifolds relies on del Pezzo surfaces.

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On four-dimensional compactifications of F-theory

Cited by 124 publications

References 42 publications

Proton decay, Yukawa couplings and underlying gauge symmetry in string theory

Proton decay, Yukawa couplings and underlying gauge symmetry in string theory

Small instanton transitions in heterotic M-theory

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