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Non-perturbative topological string theory on compact Calabi-Yau manifolds from M-theory
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Beyond Algebraic Superstring Compactification
Published 2025-03-01Subjects: “…Calabi–Yau manifolds…”
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FORMATION OF MODERN MATHEMATICAL APPROACH TO SOLVING PROBLEMS OF PHYSICS
Published 2022-04-01Subjects: Get full text
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Kaluza-Klein Multidimensional Models with Ricci-Flat Internal Spaces: The Absence of the KK Particles
Published 2013-01-01“…We consider a multidimensional Kaluza-Klein (KK) model with a Ricci-flat internal space, for example, a Calabi-Yau manifold. We perturb this background metrics by a system of gravitating masses, for example, astrophysical objects such as our Sun. …”
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Chiral global embedding of Fibre Inflation with D 3 ¯ $$ \overline{\textrm{D}3} $$ uplift
Published 2025-06-01“…We present an explicit example involving an h 1,1 = 4 Calabi-Yau manifold with a K3 fibration and a del Pezzo divisor supporting non-perturbative effects. …”
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Smoothing, scattering and a conjecture of Fukaya
Published 2025-01-01“…In 2002, Fukaya [19] proposed a remarkable explanation of mirror symmetry detailing the Strominger–Yau–Zaslow (SYZ) conjecture [47] by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi–Yau manifold $\check {X}$ and the multivalued Morse theory on the base $\check {B}$ of an SYZ fibration $\check {p}\colon \check {X}\to \check {B}$ , and the other between deformation theory of the mirror X and the same multivalued Morse theory on $\check {B}$ . …”
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Emergence in string theory and Fermi gases
Published 2024-07-01“…In the context of type II string theory compactified on Calabi-Yau manifolds, it proposes that the cubic tree-level piece of the genus-zero prepotential is emergent from integrating out massive non-perturbative states. …”
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Del Pezzo Singularities and SUSY Breaking
Published 2011-01-01“…An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found. …”
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cymyc: Calabi-Yau Metrics, Yukawas, and Curvature
Published 2025-03-01“…We develop a well-defined geometric ansatz to numerically model tensor fields of arbitrary degree on a large class of Calabi-Yau manifolds. cymyc includes a machine learning component which incorporates this ansatz to model tensor fields of interest on these spaces by finding an approximate solution to the system of partial differential equations they should satisfy.…”
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Crystals and double quiver algebras from Jeffrey-Kirwan residues
Published 2025-04-01“…Our results can be derived from the Jeffrey-Kirwan (JK) residue formulas, and generalize the previous results for quivers corresponding to toric Calabi-Yau threefolds and fourfolds to a large class of quivers satisfying the no-overlap condition, including those corresponding to some non-toric Calabi-Yau manifolds. We construct new quiver algebras which we call the double quiver Yangians/algebras, as well as their representations in terms of the aforementioned crystals. …”
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Birational transformations and 2d (0, 2) quiver gauge theories beyond toric Fano 3-folds
Published 2025-06-01“…Since these transformations categorize toric Calabi-Yau 4-folds and their corresponding 2d (0, 2) supersymmetric gauge theories into non-trivial equivalence classes, we anticipate that our findings will pave the way for a ‘Minimal Model Program’ for quiver gauge theories corresponding to toric Calabi-Yau manifolds.…”
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