Generalized Calabi-Yau Manifolds by Hitchin, N

COMPLETE INTERSECTION CALABI-YAU MANIFOLDS by Candelas, P, Dale, A, Lutken, C, Schimmrigk, R

MODULI SPACE OF CALABI-YAU MANIFOLDS by Candelas, P, Delaossa, X

“…We present an accessible account of the local geometry of the parameter space of Calabi-Yau manifolds. It is shown that the parameter space decomposes, at least locally, into a product with the space of parameters of the complex structure as one factor and a complex extension of the parameter space of the Kähler class as the other. …”

ON THE NUMBER OF COMPLETE INTERSECTION CALABI-YAU MANIFOLDS by He, A, Candelas, P

On the Connectedness of the Moduli Space of Calabi--Yau Manifolds by Avram, A, Candelas, P, Jancic, D, Mandelberg, M

“…We show that the moduli space of all Calabi-Yau manifolds that can be realized as hypersurfaces described by a transverse polynomial in a four dimensional weighted projective space, is connected. …”

Calabi-Yau manifolds and SU(3) structure by Larfors, M, Lukas, A, Ruehle, F

“…Among the wide range of possible SU(3) structures we find Strominger-Hull systems, suitable for heterotic or type II string compactifications, on all complete intersection Calabi-Yau manifolds. These SU(3) structures of Strominger-Hull type have a non-vanishing and non-closed three-form flux which needs to be supported by source terms in the associated Bianchi identity. …”

CALABI-YAU MANIFOLDS IN WEIGHTED P4 by Candelas, P, Lynker, M, Schimmrigk, R

“…It has recently been recognized that the relation between exactly solvable conformal field theory compactifications of the Heterotic String and Calabi-Yau manifolds necessarily involves the discussion of embeddings in weighted projective space. …”

New Calabi-Yau Manifolds with Small Hodge Numbers by Candelas, P, Davies, R

“…It is known that many Calabi-Yau manifolds form a connected web. The question of whether all Calabi-Yau manifolds form a single web depends on the degree of singularity that is permitted for the varieties that connect the distinct families of smooth manifolds. …”

New Calabi–Yau manifolds from genetic algorithms by Berglund, P, He, Y-H, Heyes, E, Hirst, E, Jejjala, V, Lukas, A

“…Calabi–Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. …”

Discrete symmetries of complete intersection Calabi-Yau manifolds by Lukas, A, Mishra, C

“…In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi- Yau manifolds and their quotients by freely-acting symmetries. …”

Finite distance between distinct Calabi-Yau manifolds. by Candelas, P, Green, P, Hübsch, T

“…Moduli spaces for a wide class of Calabi-Yau manifolds with different numerical invariants (and thus topologically distinct) can be assembled into a connected web in which all distances are finite. …”

Calabi-Yau Manifolds Over Finite Fields, II by Candelas, P, Ossa, X, Rodriguez-Villegas, F

Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds by Blesneag, S, Buchbinder, E, Lukas, A

“…We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. …”

Heterotic bundles on Calabi-Yau manifolds with small Picard number by He, Y, Kreuzer, M, Lee, S, Lukas, A

Generalized Calabi-Yau Manifolds and the Mirror of a Rigid Manifold by Candelas, P, Derrick, E, Parkes, L

“…We describe the mirror of the Z orbifold as a representation of a class of generalized Calabi-Yau manifolds that can be realized as manifolds of dimension five and seven. …”

A new construction of Calabi–Yau manifolds: Generalized CICYs by Anderson, L, Apruzzi, F, Gao, X, Gray, J, Lee, S

“…We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi–Yau manifolds. CICY three-folds and four-folds have been studied extensively in the physics literature. …”

Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds by Buchbinder, E, Lukas, A, Ovrut, B, Ruehle, F

“…A result by Beasley and Witten shows that these instanton contributions cancel among curves within a given homology class for Calabi-Yau manifolds that can be described as hypersurfaces or complete intersections in projective or toric ambient spaces. …”

A Three-Generation Calabi-Yau Manifold with Small Hodge Numbers by Braun, V, Candelas, P, Davies, R

“…We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. …”

Heterotic models from vector bundles on toric Calabi-Yau manifolds by He, Y, Lee, S, Lukas, A

Heterotic models from vector bundles on toric Calabi-Yau manifolds by He, Y, Lee, S, Lukas, A