On instanton effects in F-theory

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.

Section: Discussionmentioning

confidence: 99%

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

García-Etxebarria

Regalado

2017

“…16 The relations (3.15) are four equations in the ambient four-fold that automatically solve the orientifold symmetric equation of the CY three-fold P sym 6,3,3,3 (zi) = 0. 17 For applications of this theorem in the physics literature see for instance [38][39][40].…”

Section: Jhep05(2014)001mentioning

confidence: 99%

Explicit de Sitter flux vacua for global string models with chiral matter

Cicoli

Klevers

Krippendorf³

et al. 2014

140

222

Abstract:We address the open question of performing an explicit stabilisation of all closed string moduli (including dilaton, complex structure and Kähler moduli) in fluxed type IIB Calabi-Yau compactifications with chiral matter. Using toric geometry we construct Calabi-Yau manifolds with del Pezzo singularities. D-branes located at such singularities can support the Standard Model gauge group and matter content or some close extensions. In order to control complex structure moduli stabilisation we consider CalabiYau manifolds which exhibit a discrete symmetry that reduces the effective number of complex structure moduli. We calculate the corresponding periods in the symplectic basis of invariant three-cycles and find explicit flux vacua for concrete examples. We compute the values of the flux superpotential and the string coupling at these vacua. Starting from these explicit complex structure solutions, we obtain AdS and dS minima where the Kähler moduli are stabilised by a mixture of D-terms, non-perturbative and perturbative α ′ corrections as in the LARGE Volume Scenario. In the considered example the visible sector lives at a dP 6 singularity which can be higgsed to the phenomenologically interesting class of models at the dP 3 singularity.

“…This includes the possibility of D3-D(1)-D(-1) bound states or equivalently of fluxed D3-instantons [65], whereas instantons with vanishing D3-charge do not contribute to the superpotential. D3-brane instantons lift to M5-instantons in M-theory [97], whose effects in F-theory have recently been under closer investigation in [98][99][100][101][102][103]. Note that M5-instantons are not accounted for by the geometry of the elliptic fibration.…”

Section: Jhep12(2011)004mentioning

confidence: 99%

Massive Abelian gauge symmetries and fluxes in F-theory

Grimm

Kerstan

Palti

et al. 2011

110

348

F-theory compactified on a Calabi-Yau fourfold naturally describes nonAbelian gauge symmetries through the singularity structure of the elliptic fibration. In contrast Abelian symmetries are more difficult to study because of their inherently global nature. We argue that in general F-theory compactifications there are massive Abelian symmetries, such as the uplift of the Abelian part of the U(N ) gauge group on D7-branes, that arise from non-Kähler resolutions of the dual M-theory setup. The four-dimensional F-theory vacuum with vanishing expectation values for the gauge fields corresponds to the Calabi-Yau limit. We propose that fluxes that are turned on along these U(1)s are uplifted to non-harmonic four-form fluxes. We derive the effective four-dimensional gauged supergravity resulting from F-theory compactifications in the presence of the Abelian gauge factors including the effects of possible fluxes on the gauging, tadpoles and matter spectrum.