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. …”

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. …”
Get full text

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. …”
Get full text

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. …”

Heterotic quantum cohomology by Jock McOrist, Eirik Eik Svanes

“…We conjecture that one could better study the moduli space of heterotic theories by studying the corresponding cohomology, a natural counterpart to studying the ∂ ¯ $$ \overline{\partial} $$ -cohomology groups relevant to moduli of Calabi-Yau manifolds.…”
Get full text

Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges by Thorsten Schimannek

“…This implies a correspondence between the cusps of the modular curves and certain large volume limits in the stringy Kähler moduli spaces of genus one fibered Calabi-Yau manifolds with N-sections. Using Higgs transitions in M-theory and F-theory as well as modular properties of the topological string partition function, we identify these large volume limits with elements of the Tate-Shafarevich group of the genus one fibration. …”
Get full text

Mirror symmetry for five-parameter Hulek-Verrill manifolds by Philip Candelas, Xenia de la Ossa, Pyry Kuusela, Joseph McGovern

“…We study the mirrors of five-parameter Calabi-Yau threefolds first studied by Hulek and Verrill in the context of observed modular behaviour of the zeta functions for Calabi-Yau manifolds. Toric geometry allows for a simple explicit construction of these mirrors, which turn out to be familiar manifolds. …”
Get full text

Geometry of Ricci-flat Kähler manifolds and some counterexamples by Božin, Vladimir, 1973-

Get full text

Immersed Lagrangian Floer theory by Akaho, M, Joyce, D

“…The theory becomes simpler and more powerful for graded Lagrangians in Calabi-Yau manifolds, when we can work over a smaller Novikov ring \Lambda_{CY}. …”

Calabi-Yau threefolds and heterotic string compactification by Davies, R

“…We construct a large number of new examples via free group actions on complete intersection Calabi-Yau manifolds (CICY's). For special values of the parameters, these group actions develop fixed points, and we show that, on the quotient spaces, this leads to a particular class of singularities, which are quotients of the conifold. …”

Heterotic string compactification and quiver gauge theory on toric geometry by Sun, C

“…<p>This thesis is composed of papers in two areas: heterotic string model building on Calabi-Yau manifolds, and bipartite field theory with applications to brane tilings. …”

Aspects of string model building and heterotic/F-theory duality by Brodie, CR

“…We focus on the simpler case of complex surfaces as a step towards understanding the case of Calabi-Yau manifolds. These surfaces can also be used as bases for elliptic three- folds, and their cohomology lifted via the Leray spectral sequence. …”

Calabi-Yau categories and quivers with superpotential by Lam, YT

“…Hence quivers with superpotential can be viewed as noncommutative Calabi- Yau manifolds.</p> <p>One might then ask if there are derived equivalences between Calabi-Yau manifolds and quivers with superpotential. …”

Machine learning Calabi-Yau four-folds by He, Y-H, Lukas, A

“…<p>Hodge numbers of Calabi-Yau manifolds depend non-trivially on the underlying manifold data and they present an interesting challenge for machine learning. …”