Results 91 to 100 of about 1,110,578 (250)
Field Equations and Radial Solutions in a Noncommutative Spherically Symmetric Geometry
Advances in High Energy Physics, 2014 We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism ...
Aref Yazdani
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The standard model, the Pati–Salam model, and ‘Jordan geometry’
New Journal of Physics, 2020 We argue that the ordinary commutative and associative algebra of spacetime coordinates (familiar from general relativity) should perhaps be replaced, not by a noncommutative algebra (as in noncommutative geometry), but rather by a Jordan algebra ...
Latham Boyle, Shane Farnsworth
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NONCOMMUTATIVE GEOMETRY, STRINGS AND DUALITY [PDF]
International Journal of Modern Physics B, 2000 In this talk, based on work done in collaboration with G. Landi and R. J. Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is introduced, and some of the string symmetries, notably target space duality, are discussed in this framework.
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Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1885-1896, June 2025.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
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Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
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Significantly super-Chandrasekhar mass-limit of white dwarfs in noncommutative geometry
, 2019 Chandrasekhar made the startling discovery about nine decades back that the mass of compact object white dwarf has a limiting value, once nuclear fusion reactions stop therein.
Surajit Kalita +2 more
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LECTURES ON NONCOMMUTATIVE GEOMETRY [PDF]
, 2008 112 pages. Final mildly revised version to appear in the volume ``An Invitation to Noncommutative Geometry".
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A general recipe to observe non‐Abelian gauge field in metamaterials
Nanophotonics, Volume 14, Issue 8, Page 1135-1143, April 2025.Abstract Recent research on non‐Abelian phenomena has cast a new perspective on controlling light. In this work, we provide a simple and general approach to induce non‐Abelian gauge field to tremble the light beam trajectory. With in‐plane duality symmetry relaxed, our theoretical analysis finds that non‐Abelian electric field can be synthesized ...
Bingbing Liu, Tao Xu, Zhi Hong Hang
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Twisted conjugacy in soluble arithmetic groups
Mathematische Nachrichten, Volume 298, Issue 3, Page 763-793, March 2025.Abstract Reidemeister numbers of group automorphisms encode the number of twisted conjugacy classes of groups and might yield information about self‐maps of spaces related to the given objects. Here, we address a question posed by Gonçalves and Wong in the mid‐2000s: we construct an infinite series of compact connected solvmanifolds (that are not ...
Paula M. Lins de Araujo +1 more
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31Lectures on Noncommutative Geometry
Acta Polytechnica, 2008 We present a short overview of noncommutative geometry. Starting with C* algebras and noncommutative differential forms we pass to K-theory, K-homology and cyclic (co)homology, and we finish with the notion of spectral triples and the spectral action.
A. Sitarz
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