The tadpole conjecture in the interior of moduli space by Severin Lüst, Max Wiesner

“…Abstract We revisit moduli stabilization on Calabi-Yau manifolds with a discrete symmetry. Invariant fluxes allow for a truncation to a symmetric locus in complex structure moduli space and hence drastically reduce the moduli stabilization problem in its dimensionality. …”
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Symmetry-breaking vacua and baryon condensates in AdS/CFT correspondence by Martelli, D, Sparks, J

“…We present a detailed discussion of the supergravity moduli space, which involves flat form fields on asymptotically conical Calabi-Yau manifolds and match this to the gauge theory vacuum moduli space. …”

F-theory vacua with Z3 gauge symmetry by Mirjam Cvetič, Ron Donagi, Denis Klevers, Hernan Piragua, Maximilian Poretschkin

“…Discrete gauge groups naturally arise in F-theory compactifications on genus-one fibered Calabi–Yau manifolds. Such geometries appear in families that are parameterized by the Tate–Shafarevich group of the genus-one fibration. …”
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On genus one mirror symmetry in higher dimensions and the BCOV conjectures by Dennis Eriksson, Gerard Freixas i Montplet, Christophe Mourougane

“…Our approach also lends itself to arithmetic considerations of the BCOV invariant, and we study a Chowla–Selberg type theorem expressing it in terms of special $\Gamma $ -values for certain Calabi–Yau manifolds with complex multiplication.…”
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Mirror Symmetry for Calabi-Yau Hypersurfaces in Weighted P_4 and Extensions of Landau Ginzburg Theory by Candelas, P, Ossa, X, Katz, S

“…It was noticed that the corresponding Calabi-Yau manifolds do not form a mirror symmetric set since some 850 of the 7555 manifolds have Hodge numbers (b_{11},b_{21}) whose mirrors do not occur in the list. …”

Level crossings, attractor points and complex multiplication by Hamza Ahmed, Fabian Ruehle

“…We speculate that the generalization to arbitrary Calabi-Yau manifolds could be that level crossing is related to rank one attractor points. …”
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SW 3 2 2 $$ \mathcal{SW}\left(\frac{3}{2},2\right) $$ subsymmetry in G2, Spin(7) and N $$ \mathcal{N} $$ = 2 CFTs by Marc-Antoine Fiset

“…Abstract Spectral flow, spacetime supersymmetry, topological twists, chiral primaries related to marginal deformations, mirror symmetry: these are important consequences of the worldsheet N $$ \mathcal{N} $$ = 2 superconformal symmetry of strings on Calabi-Yau manifolds. To various degrees of certainty, these features were also established when the target is either 7d or 8d with exceptional holonomy G 2 or Spin(7) respectively. …”
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Minkowski4×S2 solutions of IIB supergravity by Apruzzi, F, Geipel, J, Legramandi, A, Macpherson, N, Zagermann, M

“…Finally, we also discuss some simple Minkowski4 solutions based on compact conformal Calabi‐Yau manifolds.…”

Exploring positive monad bundles and a new heterotic standard model by Anderson, L, Gray, J, He, Y, Lukas, A

“…We conclude that the entire set of positive two-term monads on complete intersection Calabi-Yau manifolds is ruled out on phenomenological grounds. …”

Deep learning for K3 fibrations in heterotic/Type IIA string duality by Aaron Vermeersch

“…In this study, we leverage Prompt Engineering with GPT-4 to address the problem of predicting K3 Fibrations in Calabi-Yau manifolds embedded in toric varieties with a single weight system. …”
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Swampland conjectures and infinite flop chains by Brodie, CR, Constantin, A, Lukas, A, Ruehle, F

“…In cases where the infinite chain of Calabi-Yau manifolds involves only a finite number of isomorphism classes, the moduli space has an infinite discrete symmetry which relates the isomorphic manifolds connected by flops. …”

A note on O6 intersections in AdS flux vacua by Daniel Junghans

“…In this note, we show in explicit examples that such intersections are absent if one compactifies on smooth Calabi-Yau manifolds instead of toroidal orbifolds. In particular, we show that the blow-up of the T 6 /ℤ3 orbifold yields a single O6-plane which wraps a smooth submanifold without any (self-)intersections. …”
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Duality symmetries from non-abelian isometries in string theory by De La Ossa, X, Quevedo, F

“…This suggests that duality symmetries in string theories need to be understood in a more general context without regard to the existence of continuous isometries on the target space (this is also indicated by the existence of duality in string compactifications on Calabi-Yau manifolds which have no continuous isometries). …”

Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds by Braun, A, Lukas, A, Sun, C

“…This algorithm is applied to all Calabi–Yau manifolds with <i>h</i>^1,1(<i>X</i>)≤3 obtained by triangulation from the Kreuzer–Skarke list, a list of some 350 manifolds. …”

Topological string amplitudes and Seiberg-Witten prepotentials from the counting of dimers in transverse flux by M. Semenyakin

“…In this paper we show a road to self-consistent proof of the recently suggested generalization of this correspondence: partition functions of topological string on local Calabi-Yau manifolds solve q-difference equations of non-autonomous dynamics of the “cluster-algebraic”integrable systems. …”
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Swampland distance conjecture, inflation and α-attractors by Marco Scalisi, Irene Valenzuela

“…Furthermore, we argue that a proper string realisation of these cosmological models in Calabi-Yau manifolds should occur around infinite field distance singularities. …”
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Two hundred heterotic standard models on smooth Calabi-Yau threefolds by Anderson, L, Gray, J, Lukas, A, Palti, E

“…A systematic search over complete intersection Calabi-Yau manifolds with less than six Kähler parameters leads to over 200 such models which we present. …”

Lectures on Calabi-Yau and special Lagrangian geometry by Joyce, D

“…This paper gives a leisurely introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by a survey of recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture. …”

Mirror Symmetry for Two Parameter Models -- I by Candelas, P, Ossa, X, Font, A, Katz, S, Morrison, DR

“…We study, by means of mirror symmetry, the quantum geometry of the K\"ahler-class parameters of a number of Calabi-Yau manifolds that have $b_{11}=2$. Our main interest lies in the structure of the moduli space and in the loci corresponding to singular models. …”

Mirror symmetry for two-parameter models (I) by Candelas, P, De La Ossa, X, Font, A, Katz, S, Morrison, DR

“…We study, by means of mirror symmetry, the quantum geometry of the Kähler-class parameters of a number of Calabi-Yau manifolds that have b11 = 2. Our main interest lies in the structure of the moduli space and in the loci corresponding to singular models. …”