Heterotic/type II duality and non-geometric compactifications

Y Gautier, CM Hull, D Israël - Journal of High Energy Physics, 2019 - Springer
A bstract We present a new class of dualities relating non-geometric Calabi-Yau com-
pactifications of type II string theory to T-fold compactifications of the heterotic string, both …

Mirror symmetry for K3 surfaces

CJ Bott, P Comparin, N Priddis - Geometriae Dedicata, 2021 - Springer
For certain K3 surfaces, there are two constructions of mirror symmetry that appear very
different. The first, known as BHK mirror symmetry, comes from the Landau–Ginzburg model …

[HTML][HTML] Semi-Calabi–Yau orbifolds and mirror pairs

A Chiodo, E Kalashnikov, DC Veniani - Advances in Mathematics, 2020 - Elsevier
We generalize the cohomological mirror duality of Borcea and Voisin in any dimension and
for any number of factors. Our proof applies to all examples which can be constructed …

A simple formula for the Picard number of K3 surfaces of BHK type

C Lyons, B Olcken - 2020 - projecteuclid.org
The Berglund–Hübsch–Krawitz (BHK) mirror symmetry construction applies to certain types
of Calabi–Yau varieties that are birational to finite quotients of Fermat varieties. Their …

Moduli spaces of non-geometric type II/heterotic dual pairs

Y Gautier, D Israël - Journal of High Energy Physics, 2020 - Springer
A bstract We study the moduli spaces of heterotic/type II dual pairs in four dimensions
with\(\mathcal {N}\)= 2 supersymmetry corresponding to non-geometric Calabi-Yau …

On some K3 surfaces with order sixteen automorphism

P Comparin, N Priddis, A Sarti - Mathematische Nachrichten, 2022 - Wiley Online Library
We consider K3 surfaces of Picard rank 14 which admit a purely non‐symplectic
automorphism of order 16. The automorphism acts on the second cohomology group with …