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, discrete symmetries and string theory by Mishra, C

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. …”

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

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. …”

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

Numerical metrics for complete intersection and Kreuzer–Skarke Calabi–Yau manifolds by Larfors, M, Lukas, A, Ruehle, F, Schneider, R

Holomorphic Yukawa couplings in heterotic string theory by Blesneag, S

“…We then specialise to a class of heterotic string models for which the vector bundle is split into a sum of line bundles and the Calabi-Yau manifold is defined as a complete intersection in projective ambient spaces.…”

Symmetries of Calabi-Yau prepotentials with isomorphic flops by Lukas, A, Ruehle, F

“…For some cases, these functions can be expressed in terms of theta functions whose appearance can be linked to an elliptic fibration structure of the Calabi-Yau manifold.</p>…”

The Atiyah class and complex structure stabilization in heterotic Calabi-Yau compactifications by Anderson, L, Gray, J, Lukas, A, Ovrut, B

“…Holomorphic gauge fields in N = 1 supersymmetric heterotic compactifications can constrain the complex structure moduli of a Calabi-Yau manifold. In this paper, the tools necessary to use holomorphic bundles as a mechanism for moduli stabilization are systematically developed. …”

Matter field Kahler metric in heterotic string theory from localisation by Blesneag, Ş, Buchbinder, E, Constantin, A, Lukas, A, Palti, E

“…In a final step, we show how this local result can be expressed in terms of the global moduli of the Calabi-Yau manifold. The method is illustrated for the family of Calabi-Yau hypersurfaces embedded in ℙ1× ℙ3and we obtain an explicit result for the matter field Kähler metric in this case.…”

Matter field Kähler metric in heterotic string theory from localisation by Blesneag, S, Buchbinder, E, Constantin, A, Lukas, A, Palti, E

“…In a final step, we show how this local result can be expressed in terms of the global moduli of the Calabi-Yau manifold. The method is illustrated for the family of Calabi-Yau hypersurfaces embedded in P1 × P3 and we obtain an explicit result for the matter field Kähler metric in this case.…”

Hodge numbers for all CICY quotients by Constantin, A, Gray, J, Lukas, A

“…We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. …”

Heterotic compactification, an algorithmic approach by Anderson, L, He, Y, Lukas, A

“…This is done in the context of complete intersection Calabi-Yau manifolds in a single projective space where we classify positive monad bundles. …”

An abundance of heterotic vacua by Gabella, M, He, Y, Lukas, A

“…Focusing on elliptically fibered Calabi-Yau manifolds with spectral cover bundles, we show that the number of heterotic models with non-zero number of generations is finite. …”

Monad bundles in heterotic string compactifications by Anderson, L, He, Y, Lukas, A

“…In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E 8 × E 8 heterotic string compactifications. …”

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. …”