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Search: authors:"Iñaki García-Etxebarria"

19 papers found.
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Exceptional \( \mathcal{N}=3 \) theories

We present a new construction of four dimensional \( \mathcal{N}=3 \) 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 \( \mathcal{S} \) 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...

E 6 Yukawa couplings in F-theory as D-brane instanton effects

At weak coupling the neighborhood of a E 6 Yukawa point in SU(5) GUT F-theory models is described by a non-resolvable orientifold of the conifold. We explicitly show, first directly in IIB and then via a mirror symmetry argument, that in this limit the E 6 Yukawa coupling is better described as coming from the non-perturbative contribution of a euclidean D1-brane wrapping the non...

Global orientifolded quivers with inflation

We describe global embeddings of fractional D3 branes at orientifolded singularities in type IIB flux compactifications. We present an explicit Calabi-Yau example where the chiral visible sector lives on a local orientifolded quiver while non-perturbative effects, α′ corrections and a T-brane hidden sector lead to full closed string moduli stabilisation in a de Sitter vacuum. The...

8d gauge anomalies and the topological Green-Schwarz mechanism

String theory provides us with 8d supersymmetric gauge theory with gauge algebras \( \mathfrak{s}\mathfrak{u}(N),\mathfrak{s}\mathfrak{o}(2N),\mathfrak{s}\mathfrak{p}(N),{\mathfrak{e}}_6,{\mathfrak{e}}_7\kern0.5em \mathrm{and}\kern0.5em {\mathfrak{e}}_8 \), but no construction for \( \mathfrak{so}\left(2N+1\right) \), \( {\mathfrak{f}}_4 \) and \( {\mathfrak{g}}_2 \) is known. In...

Ubiquity of non-geometry in heterotic compactifications

We study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison. We show that already for the simplest nontrivial elliptic fibration the effect is quite dramatic: the I 1 degeneration with trivial gauge background dynamically splits into two T...

\( \mathcal{N}=3 \) four dimensional field theories

We introduce a class of four dimensional field theories constructed by quotienting ordinary \( \mathcal{N}=4 \) U(N ) SYM by particular combinations of R-symmetry and SL(2, ℤ) automorphisms. These theories appear naturally on the worldvolume of D3 branes probing terminal singularities in F-theory, where they can be thought of as non-perturbative generalizations of the O3 plane...

Strongly coupled phases of \( \mathcal{N}=1 \) S-duality

We analyze S-duality of orientifolds of the Calabi-Yau cone over the first del Pezzo surface (dP 1). The S-duals of known phases, described by quiver gauge theories, contain intrinsically strongly-coupled sectors. These sectors are realized by a higher multiplicity intersection of NS5 branes and D5 branes atop an O5 plane, and can be thought of as stuck at the infinite coupling...

Global string embeddings for the nilpotent Goldstino

We discuss techniques for embedding a nilpotent Goldstino sector both in weakly coupled type IIB compactifications and F-theory models at arbitrary coupling, providing examples of both scenarios in semi-realistic compactifications. We start by showing how to construct a local embedding for the nilpotent Goldstino in terms of an anti D3-brane in a local conifold throat, and then...

Heterotic T-fects, 6D SCFTs, and F-theory

We study the (1, 0) six-dimensional SCFTs living on defects of non-geometric heterotic backgrounds (T-fects) preserving a E 7 × E 8 subgroup of E 8 × E 8. These configurations can be dualized explicitly to F-theory on elliptic K3-fibered non-compact Calabi-Yau threefolds. We find that the majority of the resulting dual threefolds contain non-resolvable singularities. In those...

Yukawas and discrete symmetries in F-theory compactifications without section

In the case of F-theory compactifications on genus-one fibrations without section there are naturally appearing discrete symmetries, which we argue to be associated to geometrically massive U(1) gauge symmetries. These discrete symmetries are shown to induce non-trivial selection rules for the allowed Yukawa couplings in SU(N) gauge theories. The general discussion is exemplified...

D-brane instantons on non-Spin cycles

We show that non-Spin cycles in type IIB Calabi-Yau orientifold compactifications with vanishing B field naturally support orientifold-invariant D-brane instantons. These instantons, associated to the holomorphic cotangent bundle of the non-Spin cycle, can lead to non-perturbative corrections to the superpotential.

New \( \mathcal{N} \) = 1 dualities from orientifold transitions Part I: field theory

We report on a broad new class of \( \mathcal{N} \) = 1 gauge theory dualities which relatethe worldvolume gauge theories of D3 branes probing different orientifolds of the sameCalabi-Yau singularity. In this paper, we focus on the simplest example of these newdualities, arising from the orbifold singularity \( {{\mathbb{C}}^3}/{{\mathbb{Z}}_3} \). We present extensive checks of...

New \( \mathcal{N}=1 \) dualities from orientifold transitions Part II: string theory

We present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in [1]. Based on the resulting construction we argue that the duality that we observe in field theory is inherited from S-duality of type IIB string theory. We analyze in detail the complex cone over the zeroth del Pezzo...

Physics of F-theory compactifications without section

We study the physics of F-theory compactifications on genus-one fibrations without section by using an M-theory dual description. The five-dimensional action obtained by considering M-theory on a Calabi-Yau threefold is compared with a sixdimensional F-theory effective action reduced on an additional circle. We propose that the six-dimensional effective action of these setups...

On quantum corrected Kähler potentials in F-theory

We work out the exact in g s and perturbatively exact in α′ result for the vector multiplet moduli Kähler potential in a specific \( \mathcal{N} \) = 2 compactification of F-theory. The well-known α ′3 correction is absent, but there is a rich structure of corrections at all even orders in α ′ . Moreover, each of these orders independently displays an SL(2, \( \mathbb{Z...

Global embeddings for branes at toric singularities

We describe how local toric singularities, including the Toric Lego construction, can be embedded in compact Calabi-Yau manifolds. We study in detail the addition of D-branes, including non-compact flavor branes as typically used in semi-realistic model building. The global geometry provides constraints on allowable local models. As an illustration of our discussion we focus on...

Global F-theory models: instantons and gauge dynamics

We present and analyze in detail a compact F-theory GUT model in which D-brane instantons generate the top Yukawa coupling non-perturbatively. We elucidate certain aspects of F-theory gauge dynamics which are absent in the Type IIB limit, due to quantum splitting of certain brane stacks. Finally, we provide a working implementation of an algorithm for computing cohomology of line...

Toric Lego: a method for modular model building

Within the context of local type IIB models arising from branes at toric Calabi-Yau singularities, we present a systematic way of joining any number of desired sectors into a consistent theory. The different sectors interact via massive messengers with masses controlled by tunable parameters. We apply this method to a toy model of the minimal supersymmetric standard model (MSSM...