U-folds as K3 fibrations

Braun, Andreas P.; Fucito, F.; Morales, José F.

doi:10.1007/jhep10(2013)154

Cited by 21 publications

(37 citation statements)

References 63 publications

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“…In fact this idea appeared early in the F-theory literature [6]. More recent work in this direction has appeared where one takes the fibre to be K3 and then one has a U-duality group act on the K3 [79][80][81] in a theory sometimes called G-theory. Further, the dimensional reduction of EFTs has now been examined in some detail and in particular one can make use of Scherk-Schwarz type reductions that yield gauged supergravities [28,[51][52][53][54][82][83][84][85][86][87][88][89].…”

Section: Discussionmentioning

confidence: 99%

An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory

Berman¹,

Blair²,

Malek³

et al. 2016

Class. Quantum Grav.

112

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We construct the 12-dimensional exceptional field theory associated to the group SL(2)× R + . Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that must be imposed on all fields. This constraint has two inequivalent solutions, one giving rise to 11-dimensional supergravity and the other leading to F-theory. Thus SL(2) × R + exceptional field theory contains both F-theory and M-theory in a single 12-dimensional formalism.

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Section: Discussionmentioning

confidence: 99%

An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory

Berman¹,

Blair²,

Malek³

et al. 2016

Class. Quantum Grav.

112

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“…The geometry of S − together with its monodromy group has been previously discussed in some detail in [44][45][46][47][48]. The geometry of S − can be easily understood by exploiting its elliptic fibration.…”

Section: The Geometry Of Z − and S −mentioning

confidence: 99%

Infinitely many M2-instanton corrections to M-theory on G2-manifolds

Braun

Zotto

Halverson

et al. 2018

J. High Energ. Phys.

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We consider the non-perturbative superpotential for a class of four-dimensional N = 1 vacua obtained from M-theory on seven-manifolds with holonomy G 2 . The class of G 2 -holonomy manifolds we consider are so-called twisted connected sum (TCS) constructions, which have the topology of a K3-fibration over S 3 . We show that the non-perturbative superpotential of M-theory on a class of TCS geometries receives infinitely many inequivalent M2-instanton contributions from infinitely many three-spheres, which we conjecture are supersymmetric (and thus associative) cycles. The rationale for our construction is provided by the duality chain of [1], which relates M-theory on TCS G 2 -manifolds to E 8 × E 8 heterotic backgrounds on the Schoen Calabi-Yau threefold, as well as to F-theory on a K3-fibered Calabi-Yau fourfold. The latter are known to have an infinite number of instanton corrections to the superpotential and it is these contributions that we trace through the duality chain back to the G 2 -compactification.1 These also have an interpretation as the type IIB string compactified on the base of the elliptic fibration, with the fibers specifying the variable axio-dilaton field, see, e.g., [2].

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“…3 This does not mean that geometry is entirely useless: as we shall see some aspects of the problem can still be fruitfully geometrized using arguments similar to those in [7] and [13][14][15][16]. We will start in § 2 by reconstructing the N = 3 theories found in [11] in terms of an M5 wrapping a T 2 in an M-theory U-fold background.…”

Section: Jhep12(2017)042mentioning

confidence: 99%

Exceptional N = 3 $$ \mathcal{N}=3 $$ theories

García-Etxebarria

Regalado

2017

J. High Energ. Phys.

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We present a new construction of four dimensional N = 3 theories, given by M5 branes wrapping a T 2 in an M-theory U-fold background. The resulting setup generalizes the one used in the usual class S construction of four dimensional theories by using an extra discrete symmetry on the M5 worldvolume. Together with the M-theory U-fold description of (0, 2) E-type six-dimensional SCFTs, this allows to construct new, exceptional, N = 3 theories.

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U-folds as K3 fibrations

Cited by 21 publications

References 63 publications

An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory

An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory

Infinitely many M2-instanton corrections to M-theory on G2-manifolds

Exceptional N = 3 $$ \mathcal{N}=3 $$ theories

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