Results 11 to 20 of about 29,467 (233)
Supersymmetry, Ricci flat manifolds and the String Landscape [PDF]
Journal of High Energy Physics, 2020 AbstractA longstanding question in superstring/Mtheory is does it predict supersymmetry below the string scale? We formulate and discuss a necessary condition for this to be true; this is the mathematical conjecture that all stable, compact Ricci flat manifolds have special holonomy in dimensions below eleven. Almost equivalent is the proposal that the
B. S. Acharya
openalex +5 more sources
Bismut Ricci flat manifolds with symmetries [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022 We construct examples of compact homogeneous Riemannian manifolds admitting an invariant Bismut connection that is Ricci flat and non-flat, proving in this way that the generalized Alekseevsky–Kimelfeld theorem does not hold. The classification of compact homogeneous Bismut Ricci flat spaces in dimension$5$is also provided.
Fabio Podestà, Alberto Raffero
openalex +5 more sources
More M-branes on product of Ricci-flat manifolds [PDF]
International Journal of Geometric Methods in Modern Physics, 2011 Partially supersymmetric intersecting (non-marginal) composite M-brane solutions defined on the product of Ricci-flat manifolds M0 × M1 × ⋯ × Mn in D = 11 supergravity are considered and formulae for fractional numbers of unbroken supersymmetries are derived for the following configurations of branes: M2 ∩ M2, M2 ∩ M5, M5 ∩ M5 and M2 ∩ M2 ∩ M2 ...
В. Д. Иващук
openalex +6 more sources
The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds [PDF]
Geometry & Topology, 2016 It is shown by Colding and Minicozzi the uniqueness of the tangent cone at infinity of Ricci-flat manifolds with Euclidean volume growth which has at least one tangent cone at infinity with a smooth cross section.
Hattori, Kota
core +3 more sources
Infinite families of homogeneous Bismut Ricci flat manifolds [PDF]
Communications in Contemporary Mathematics, 2022 Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order [Formula: see text] and (up to coverings) they can be realized as minimal submanifolds of the ...
Fabio Podestà, Alberto Raffero
openalex +3 more sources
Stability of ALE Ricci-Flat Manifolds Under Ricci Flow [PDF]
The Journal of Geometric Analysis, 2020 Abstract We prove that if an ALE Ricci-flat manifold ( M , g ) is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e.
Alix Deruelle, Klaus Kröncke
openalex +4 more sources
Ricci-flat Kähler manifolds from supersymmetric gauge theories [PDF]
Nuclear Physics B, 2002 Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kahler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. Each of the metrics contains a resolution parameter which controls
Kiyoshi Higashijima +2 more
openalex +5 more sources
Approximate Ricci-flat Metrics for Calabi-Yau Manifolds [PDF]
CoRRWe outline a method to determine analytic Kähler potentials with associated approximately Ricci-flat Kähler metrics on Calabi-Yau manifolds. Key ingredients are numerically calculating Ricci-flat Kähler potentials via machine learning techniques and fitting the numerical results to Donaldson's Ansatz. We apply this method to the Dwork family of quintic
Lee, Seung-Joo, Lukas, Andre
openalex +3 more sources
The Global Geometry of Ricci-Flat Manifolds
Ricci-flat manifolds are fundamental in differential geometry and theoretical physics, particularly General Relativity and string theory. Characterized by a vanishing Ricci curvature tensor, these manifolds embody a profound geometric equilibrium, mirroring the absence of matter or energy in Einstein's vacuum field equations. This paper offers a novel,
SÉRGIO DE ANDRADE, PAULO
+6 more sources
Canonical Identification at Infinity for Ricci-Flat Manifolds [PDF]
The Journal of Geometric Analysis, 2021 We give a natural way to identify between two scales, potentially arbitrarily far apart, in a non-compact Ricci-flat manifold with Euclidean volume growth when a tangent cone at infinity has smooth cross section. The identification map is given as the gradient flow of a solution to an elliptic equation.
openaire +3 more sources