51 citations · 160 across the 12 of their papers we have counts for
14 papers
Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory
Lara B. Anderson, Callum R. Brodie, James Gray
Geometric transitions between Calabi-Yau manifolds have proven to be a powerful tool in exploring the intricate and interconnected vacuum structure of string compactifications. How…
Recent Developments in Line Bundle Cohomology and Applications to String Phenomenology
Callum Brodie, Andrei Constantin, James Gray +2
Vector bundle cohomology represents a key ingredient for string phenomenology, being associated with the massless spectrum arising in string compactifications on smooth compact man…
Flops for Complete Intersection Calabi-Yau Threefolds
Callum Brodie, Andrei Constantin, Andre Lukas +1
We study flops of Calabi-Yau threefolds realised as Kaehler-favourable complete intersections in products of projective spaces (CICYs) and identify two different types. The existen…
D7 Moduli Stabilization: The Tadpole Menace
Iosif Bena, Callum Brodie, Mariana Graña
D7-brane moduli are stabilized by worldvolume fluxes, which contribute to the D3-brane tadpole. We calculate this contribution in the Type IIB limit of F-theory compactifications o…
Geodesics in the extended Kähler cone of Calabi-Yau threefolds
Callum R. Brodie, Andrei Constantin, Andre Lukas +1
We present a detailed study of the effective cones of Calabi-Yau threefolds with , including the possible types of walls bounding the Kähler cone and a classification of…
Swampland Conjectures and Infinite Flop Chains
Callum R. Brodie, Andrei Constantin, Andre Lukas +1
We investigate swampland conjectures for quantum gravity in the context of M-theory compactified on Calabi-Yau threefolds which admit infinite sequences of flops. Naively, the modu…
Flops, Gromov-Witten Invariants and Symmetries of Line Bundle Cohomology on Calabi-Yau Three-folds
Callum R. Brodie, Andrei Constantin, Andre Lukas
The zeroth line bundle cohomology on Calabi-Yau three-folds encodes information about the existence of flop transitions and the genus zero Gromov-Witten invariants. We illustrate t…
Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds
Callum R. Brodie, Andrei Constantin
We determine several classes of smooth complex projective surfaces on which Zariski decomposition can be combined with vanishing theorems to yield cohomology formulae for all line…
Index Formulae for Line Bundle Cohomology on Complex Surfaces
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We conjecture and prove closed-form index expressions for the cohomology dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for all compact toric surfaces we…
Machine Learning Line Bundle Cohomology
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi-Yau three-folds. Standard function learning based on simp…
Topological Formulae for the Zeroth Cohomology of Line Bundles on del Pezzo and Hirzebruch Surfaces
Callum R. Brodie, Andrei Constantin, Rehan Deen +1
We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.
NS5-Branes and Line Bundles in Heterotic/F-Theory Duality
Andreas P. Braun, Callum R. Brodie, Andre Lukas +1
We study F-theory duals of heterotic line bundle models on elliptically fibered Calabi-Yau threefolds. These models necessarily contain NS5-branes which are geometrised in the dual…
Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds
Andreas P. Braun, Callum R. Brodie, Andre Lukas
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…
The Spectra of Type IIB Flux Compactifications at Large Complex Structure
Callum Brodie, M. C. David Marsh
We compute the spectra of the Hessian matrix, , and the matrix that governs the critical point equation of the low-energy effective supergravity, as a function…