F-theory on quotient threefolds with (2,0) discrete superconformal matter

Anderson, Lara B.; Grassi, Antonella; Gray, James; Oehlmann, Paul-Konstantin

doi:10.1007/jhep06(2018)098

Cited by 36 publications

(58 citation statements)

References 84 publications

(221 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such a coupling to gravity is highly non-trivial and might lead to gaugings of the flavor symmetries or is even completely forbidden by the stringent gravitational anomalies. On the other hand, the compact geometry can also contain Abelian symmetries which can be gauged and coupled to the superconformal sector, as was recently proposed for (1, 0) [12] and (2, 0) [13] theories.…”

Section: Introductionmentioning

confidence: 99%

Global Tensor‐Matter Transitions in F‐Theory

Dierigl

Oehlmann

Ruehle

2018

Fortschritte der Physik

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

Global Tensor‐Matter Transitions in F‐Theory

Dierigl

Oehlmann

Ruehle

2018

Fortschritte der Physik

View full text Add to dashboard Cite

show abstract

“…In this paper, we take a more systematic look at such CY quotients, extending previous work [6]. In particular, we demonstrate that it is possible to systematically characterize the effective field theories resulting from F-theory compactifications on CY quotients that are obtained by freely acting discrete symmetries acting on covering spaces that are elliptically fibered -i.e.…”

Section: Introductionmentioning

confidence: 55%

“…The first case has been studied in detail in [6] and so, in this work, we will focus mainly on the second of these two cases, first systematically used in string theory in [7,25]. The action of the shift symmetry on the sections of the elliptic curve is precisely realized by the Mordell-Weil (MW) addition law [7,25,26], denoted by ⊕, of rational sections, with the zero-section being its neutral element.…”

Section: Covering Geometries and Their Quotientsmentioning

confidence: 99%

“…The quotient constructions that were used in [6], as well as in this work, are structurally very similar to the above but with the base being a compact twofold embedded into a smooth threefold. We note, that in F-theory the base, B, is the physical compactification space and the symmetry by which we quotient, Γ n , acts like a standard orbifold.…”

Section: Multiple Fibers and Hyperconifoldsmentioning

confidence: 99%

“…To this end, the structure of elliptically fibered Calabi-Yau (CY) geometries and their singular degenerations is of clear relevance. In recent work [6], compactifications of F-theory on non-simply connected CY manifolds and their physical implications were studied. Such CY fibrations exhibit multiple fibers (i.e.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

F-theory on quotients of elliptic Calabi-Yau threefolds

Anderson

Gray

Oehlmann

2019

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this work we consider quotients of elliptically fibered Calabi-Yau threefolds by freely acting discrete groups and the associated physics of F-theory compactifications on such backgrounds. The process of quotienting a Calabi-Yau geometry produces not only new genus one fibered manifolds, but also new effective 6-dimensional physics. These theories can be uniquely characterized by the much simpler covering space geometry and the symmetry action on it. We use this method to construct examples of F-theory models with an array of discrete gauge groups and non-trivial monodromies, including an example with 1. ∆h 1,1 = 0: Gauge symmetry and number of (1, 0) tensors is unchanged.

show abstract

Twisted Fibrations in M/F-theory

Anderson,

Gray,

Oehlmann

2024

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

In this work we investigate 5-dimensional theories obtained from M-theory on genus one fibered threefolds which exhibit twisted algebras in their fibers. We provide a base-independent algebraic description of the threefolds and compute light 5D BPS states charged under finite sub-algebras of the twisted algebras. We further construct the Jacobian fibrations that are associated to 6-dimensional F-theory lifts, where the twisted algebra is absent. These 6/5-dimensional theories are compared via twisted circle reductions of F-theory to M-theory. In the 5-dimensional theories we discuss several geometric transitions that connect twisted with untwisted fibrations. We present detailed discussions of $$ {\mathfrak{e}}_6^{(2)} $$ e 6 2 , $$ {\mathfrak{so}}_8^{(3)} $$ so 8 3 and $$ {\mathfrak{su}}_3^{(2)} $$ su 3 2 twisted fibers and provide several explicit example threefolds via toric constructions. Finally, limits are considered in which gravity is decoupled, including Little String Theories for which we match 2-group symmetries across twisted T-dual theories.

show abstract

F-theory on quotient threefolds with (2,0) discrete superconformal matter

Cited by 36 publications

References 84 publications

Global Tensor‐Matter Transitions in F‐Theory

Global Tensor‐Matter Transitions in F‐Theory

F-theory on quotients of elliptic Calabi-Yau threefolds

Twisted Fibrations in M/F-theory

Contact Info

Product

Resources

About