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Open AccessMore on G-flux and general hodge cycles on the Fermat sextic
We study M-Theory solutions with G-flux on the Fermat sextic Calabi-Yau fourfold, focussing on the relationship between the number of stabilized complex structure moduli and the tadpole contribution of the flux. ...
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Article
Open AccessTadpoles and gauge symmetries
The tadpole conjecture proposes that complex structure moduli stabilisation by fluxes that have low tadpole charge can be realised only at special points in moduli space, leading generically to (large) gauge s...
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Article
Open AccessGauged 2-form symmetries in 6D SCFTs coupled to gravity
We study six dimensional supergravity theories with superconformal sectors (SCFTs). Instances of such theories can be engineered using type IIB strings, or more generally F-Theory, which translates field theor...
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Article
Open AccessFibre-base duality of 5d KK theories
We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-...
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Article
Open AccessM-theory and orientifolds
We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum G2 manifolds...
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Article
Open AccessOn mirror maps for manifolds of exceptional holonomy
We study mirror symmetry of type II strings on manifolds with the exceptional holonomy groups G2 and Spin(7). Our central result is a construction of mirrors of Spin(7) manifolds realized as generalized connected...
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Article
Open AccessHiggs bundles for M-theory on G2-manifolds
M-theory compactified on G2-holonomy manifolds results in 4d N ...
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Article
Open AccessCounting associatives in compact G2 orbifolds
We describe a class of compact G2 orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contribu...
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Article
Open AccessInfinitely many M2-instanton corrections to M-theory on G2-manifolds
We consider the non-perturbative superpotential for a class of four-dimensional N = ...
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Article
Open AccessSpin(7)-manifolds as generalized connected sums and 3d \( \mathcal{N}=1 \) theories
M-theory on compact eight-manifolds with Spin(7)-holonomy is a framework for geometric engineering of 3d ...
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Article
Open AccessDiscrete Symmetries of Calabi–Yau Hypersurfaces in Toric Four-Folds
We analyze freely-acting discrete symmetries of Calabi–Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm that allows the systematic classification of such symmetries which are ...
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Article
Open AccessCompact, singular G2-holonomy manifolds and M/heterotic/F-theory duality
We study the duality between M-theory on compact holonomy G2-manifolds and the heterotic string on Calabi-Yau three-folds. The duality is studied for K3-fibered G2-manifolds, called twisted connected sums, which ...
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Article
Open AccessHeterotic line bundle models on elliptically fibered Calabi-Yau three-folds
We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fi...
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Article
Open AccessTowards generalized mirror symmetry for twisted connected sum G2 manifolds
We revisit our construction of mirror symmetries for compactifications of Type II superstrings on twisted connected sum G2 manifolds. For a given G2 manifold, we discuss evidence for the existence of mirror symme...
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Article
Open AccessTops as building blocks for G 2 manifolds
A large number of examples of compact G 2 manifolds, relevant to supersymmetric compactifications of M-Theory to four dimensions, can be constructed by forming a twisted connected ...
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Article
Open AccessMirror symmetry for G 2-manifolds: twisted connected sums and dual tops
Recently, at least 50 million of novel examples of compact G 2 holonomy manifolds have been constructed as twisted connected sums of asymptotically cylindrical Calabi-Yau threefold...
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Article
Open AccessDe Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications
In [1] a mechanism to fix the closed string moduli in a de Sitter minimum was proposed: a D-term potential generates a linear relation between the volumes of two rigid divisors which in turn produces at lower ...
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Article
Open AccessHypercharge flux in F-theory and the stable Sen limit
IIB compactifications enjoy the possibility to break GUT groups via fluxes without giving mass to the hypercharge gauge field. Although this important advantage has greatly motivated F-theory constructions, no...
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Article
Open AccessThe fate of U(1)’s at strong coupling in F-theory
U(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some of these are known to become massive at strong coupling via the S...
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Article
U-folds as K3 fibrations
We study \( \mathcal{N}=2 \) four-dimensional flux vacua describing intrinsic non- perturbative systems of 3 and 7 bran...
