Mirror symmetry and elliptic Calabi-Yau manifolds by Huang, Yu-Chien, Taylor IV, Washington

“…The factorization structure identified here can also apply for CalabiYau manifolds of higher dimension.…”
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New Calabi–Yau manifolds from genetic algorithms by Per Berglund, Yang-Hui He, Elli Heyes, Edward Hirst, Vishnu Jejjala, Andre Lukas

“…Calabi–Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. …”
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Special Lagrangian submanifolds of log Calabi–Yau manifolds by Collins, Tristan C, Jacob, Adam, Lin, Yu-Shen

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Heterotic instanton superpotentials from complete intersection Calabi-Yau manifolds by Evgeny Buchbinder, Andre Lukas, Burt Ovrut, Fabian Ruehle

“…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. …”
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Flux vacua and modularity for $\mathbb{Z}_2$ symmetric Calabi-Yau manifolds by Philip Candelas, Xenia de la Ossa, Pyry Kuusela, Joseph McGovern

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Special Lagrangian torus fibrations of complete intersection Calabi–Yau manifolds: A geometric conjecture by David R. Morrison, M. Ronen Plesser

“…For complete intersection Calabi–Yau manifolds in toric varieties, Gross and Haase–Zharkov have given a conjectural combinatorial description of the special Lagrangian torus fibrations whose existence was predicted by Strominger, Yau and Zaslow. …”
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CYJAX: A package for Calabi-Yau metrics with JAX by Mathis Gerdes, Sven Krippendorf

Subjects: “…Calabi–Yau manifolds…”
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Machine learning Sasakian and G2 topology on contact Calabi-Yau 7-manifolds by Daattavya Aggarwal, Yang-Hui He, Elli Heyes, Edward Hirst, Henrique N. Sá Earp, Tomás S.R. Silva

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Exact multi-instantons in topological string theory by Jie Gu, Marcos Mariño

“…Their form suggests that the flat coordinates of the Calabi-Yau manifold are naturally quantized in units of the string coupling constant, as postulated in large $N$ dualities. …”
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Symmetries of Calabi-Yau prepotentials with isomorphic flops by Andre Lukas, Fabian Ruehle

“…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.…”
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The origin of Calabi-Yau crystals in BPS states counting by Jiakang Bao, Rak-Kyeong Seong, Masahito Yamazaki

“…Abstract We study the counting problem of BPS D-branes wrapping holomorphic cycles of a general toric Calabi-Yau manifold. We evaluate the Jeffrey-Kirwan residues for the flavoured Witten index for the supersymmetric quiver quantum mechanics on the worldvolume of the D-branes, and find that BPS degeneracies are described by a statistical mechanical model of crystal melting. …”
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Symmetric fluxes and small tadpoles by Thibaut Coudarchet, Fernando Marchesano, David Prieto, Mikel A. Urkiola

“…We illustrate this approach in a Calabi-Yau manifold with 51 complex structure moduli, where several reduction schemes can be implemented in order to explicitly solve the vacuum equations for that sector. …”
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On the moduli space curvature at infinity by Fernando Marchesano, Luca Melotti, Lorenzo Paoloni

“…Abstract We analyse the scalar curvature of the vector multiplet moduli space M X VM $$ {\mathcal{M}}_X^{\textrm{VM}} $$ of type IIA string theory compactified on a Calabi-Yau manifold X. While the volume of M X VM $$ {\mathcal{M}}_X^{\textrm{VM}} $$ is known to be finite, cases have been found where the scalar curvature diverges positively along trajectories of infinite distance. …”
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Cutting the traintracks: Cauchy, Schubert and Calabi-Yau by Qu Cao, Song He, Yichao Tang

“…For L-loop full traintracks, we compute their leading singularities as integrals of (L−1)-forms, which proves that the rigidity is L−1 as expected; the form is given by an inverse square root of an irreducible polynomial quartic with respect to each variable, which characterizes an (L−1)-dim Calabi-Yau manifold (elliptic curve, K3 surface, etc.) for any L. …”
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Compact G2 holonomy spaces from SU(3) structures by S. Andriolo, G. Shiu, H. Triendl, T. Van Riet, G. Venken, G. Zoccarato

“…The backreaction of these fluxes deforms the Calabi-Yau manifold into a specific class of SU(3)-structure manifolds. …”
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Smearing and unsmearing KKLT AdS vacua by Mariana Graña, Nicolas Kovensky, Dimitrios Toulikas

“…We show that supersymmetry requires a (conformal) Calabi-Yau manifold and imaginary self-dual three-form fluxes with an additional (0,3) component. …”
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Tuned and non-Higgsable U(1)s in F-theory by Wang, Yinan

“…In particular, we show that the elliptic Calabi-Yau manifold over such a base has a small number of complex structure moduli. …”
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General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure by Cvetič, Mirjam, Klevers, Denis, Piragua, Hernan, Taylor IV, Washington

“…We construct the general form of an F-theory compactification with two U(1) factors based on a general elliptically fibered Calabi-Yau manifold with Mordell-Weil group of rank two. …”
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Exact (1 + 3 + 6)-Dimensional Cosmological-Type Solutions in Gravitational Model with Yang–Mills Field, Gauss–Bonnet Term and Λ Term by V. D. Ivashchuk, K. K. Ernazarov, A. A. Kobtsev

“…We study so-called cosmological-type solutions defined on the product manifold <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>M</mi><mo>=</mo><mi mathvariant="double-struck">R</mi><mo>×</mo><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mn>3</mn></msup><mo>×</mo><mi>K</mi></mrow></semantics></math></inline-formula>, where <i>K</i> is <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>6</mn><mi>d</mi></mrow></semantics></math></inline-formula> a Calabi–Yau manifold. By setting the gauge field 1-form to coincide with the 1-form spin connection on <i>K</i>, we obtain exact cosmological solutions with exponential dependence of scale factors (upon <i>t</i>-variable) governed by two non-coinciding Hubble-like parameters: <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula> and <i>h</i> obeying <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>H</mi><mo>+</mo><mn>2</mn><mi>h</mi><mo>≠</mo><mn>0</mn></mrow></semantics></math></inline-formula>. …”
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Mirror symmetry in emergent gravity by Hyun Seok Yang

“…In particular, the doubling for the variety of emergent Calabi–Yau manifolds allows us to arrange a pair of Calabi–Yau manifolds such that they are mirror to each other. …”
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