Matter in transition

Anderson, Lara B.; Gray, James; Raghuram, Nikhil; Taylor, Washington

doi:10.1007/jhep04(2016)080

Cited by 34 publications

(77 citation statements)

References 90 publications

(288 reference statements)

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“…Since these transitions relate F-theory vacua with different matter representations in a non-perturbative way, we want to study which SUGRA consistency conditions have to be satisfied by these global tensor-matter transitions using F-theory. In this way, this work generalizes the transitions of [14] to all semi simple Lie groups. However, we restrict ourselves to smooth divisors without double (or higher) point singularities.…”

Section: Introductionmentioning

confidence: 70%

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Global Tensor‐Matter Transitions in F‐Theory

Dierigl

Oehlmann

Ruehle

2018

Fortschritte der Physik

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We use F-theory to study gauge algebra preserving transitions of 6d supergravity theories that are connected by superconformal points. While the vector multiplets remain unchanged, the hyper-and tensor multiplet sectors are modified. In 6d F-theory models, these transitions are realized by tuning the intersection points of two curves, one of them carrying a non-Abelian gauge algebra, to a (4, 6, 12) singularity, followed by a resolution in the base. The six-dimensional supergravity anomaly constraints are strong enough to completely fix the possible non-Abelian representations and to restrict the Abelian charges in the hypermultiplet sector affected by the transition, as we demonstrate for all Lie algebras and their representations. Furthermore, we present several examples of such transitions in torically resolved fibrations. In these smooth models, superconformal points lead to non-flat fibers which correspond to non-toric Kähler deformations of the torus-fibered Calabi-Yau 3-fold geometry.

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Section: Introductionmentioning

confidence: 70%

“…For the Abelian anomaly coefficients we can make use of the orthogonality condition (14) of the Shioda map (12) to write the height-pairing as…”

Section: −1mentioning

confidence: 99%

Global Tensor‐Matter Transitions in F‐Theory

Dierigl

Oehlmann

Ruehle

2018

Fortschritte der Physik

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“…Two solutions to the AC equations related in this way are referred to as anomaly-equivalent. As mentioned earlier, in many cases there are paths in the supergravity moduli space that connect anomaly-equivalent matter spectra through matter transitions [21], though this need not always be the case.…”

Section: Anomaly-equivalent Exchanges and Ambiguities In Generic Mattermentioning

confidence: 99%

“…Going beyond generic matter, the question of which exotic matter types are allowed in F-theory involves much more complex questions of algebraic geometry. For exotic matter charged under nonabelian gauge groups, a systematic analysis of three-index antisymmetric ("genus 0" [15]) SU(N ) matter was carried out in [34,21], and a general methodology for understanding "higher genus" matter representations in terms of singularities over divisors that themselves are singular was developed in [35]. While in many cases there are F-theory models with exotic singularity structures that match with anomaly-free low-energy theories with certain exotic matter content, in other cases it is not known whether F-theory models exist, and in still other cases it is known that F-theory models cannot exist and there are apparently consistent models in the swampland.…”

Section: Exotic Matter and The 6d Swamplandmentioning

confidence: 99%

“…Actually, since there is no superpotential in six dimensions, 6D supergravity theories with different numbers of tensor multiplets, different gauge groups, and different matter representations generally all live on branches of a single moduli space, connected through Higgs transitions, tensionless string transitions (which trade a tensor multiplet for 29 scalar multiplets in the simplest situations), and matter transitions[21]. For convenience, however, we often refer to branches of the theory with different massless spectra as different models or "theories."…”

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confidence: 99%

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Generic matter representations in 6D supergravity theories

Taylor

Turner

2019

J. High Energ. Phys.

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In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is "generic," in that other "exotic" matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and U(1) factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple U(1) factors and provides a useful framework for analyzing the 6D "swampland" of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is SU(3) c × SU(2) L × U(1) Y /Z 6 .

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Enhanced gauge symmetry in 6D F‐theory models and tuned elliptic Calabi‐Yau threefolds

Johnson

Taylor

2016

Fortschritte der Physik

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We systematically analyze the local combinations of gauge groups and matter that can arise in 6D F-theory models over a fixed base. We compare the low-energy constraints of anomaly cancellation to explicit F-theory constructions using Weierstrass and Tate forms, and identify some new local structures in the "swampland" of 6D supergravity and SCFT models that appear consistent from low-energy considerations but do not have known F-theory realizations. In particular, we classify and carry out a local analysis of all enhancements of the irreducible gauge and matter contributions from "non-Higgsable clusters," and on isolated curves and pairs of intersecting rational curves of arbitrary self-intersection. Such enhancements correspond physically to unHiggsings, and mathematically to tunings of the Weierstrass model of an elliptic CY threefold. We determine the shift in Hodge numbers of the elliptic threefold associated with each enhancement. We also consider local tunings on curves that have higher genus or intersect multiple other curves, codimension two tunings that give transitions in the F-theory matter content, tunings of abelian factors in the gauge group, and generalizations of the "E 8 " rule to include tunings and curves of self-intersection zero. These tools can be combined into an algorithm that in principle enables a finite and systematic classification of all elliptic CY threefolds and corresponding 6D F-theory SUGRA models over a given compact base (modulo some technical caveats in various special circumstances), and are also relevant to the classification of 6D SCFT's. To illustrate the utility of these results, we identify some large example classes of known CY threefolds in the Kreuzer-Skarke database as Weierstrass models over complex surface bases with specific simple tunings, and we survey the range of tunings possible over one specific base.arXiv:1605.08052v2 [hep-th]

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Matter in transition

Cited by 34 publications

References 90 publications

Global Tensor‐Matter Transitions in F‐Theory

Global Tensor‐Matter Transitions in F‐Theory

Generic matter representations in 6D supergravity theories

Enhanced gauge symmetry in 6D F‐theory models and tuned elliptic Calabi‐Yau threefolds

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