Results 51 to 60 of about 553,131 (96)
Non-Commutative Geometry and Twisted Conformal Symmetry
The twist-deformed conformal algebra is constructed as a Hopf algebra with twisted co-product. This allows for the definition of conformal symmetry in a non-commutative background geometry.
P. Di Francesco, Peter Matlock, V. Chari
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Laplacian Solitons and Symmetry in G_2-geometry
In this paper, it is shown that (with no additional assumptions) on a compact 7-dimensional manifold which admits a $G_2$-structure soliton solutions to the Laplacian flow of R. Bryant can only be shrinking or steady.
Bryant+12 more
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Einstein-Riemann Gravity on Deformed Spaces [PDF]
A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Wess, Julius
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Mirror symmetry and tropical geometry [PDF]
Using tropical geometry we propose a mirror construction for monomial degenerations of Calabi-Yau varieties in toric Fano varieties. The construction reproduces the mirror constructions by Batyrev for Calabi-Yau hypersurfaces and by Batyrev and Borisov for Calabi-Yau complete intersections. We apply the construction to Pfaffian examples and recover the
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Asymptotic symmetry of geometries with Schrödinger isometry [PDF]
We show that the asymptotic symmetry algebra of geometries with Schrodinger isometry in any dimension is an infinite dimensional algebra containing one copy of Virasoro algebra. It is compatible with the fact that the corresponding geometries are dual to non-relativistic CFTs whose symmetry algebra is the Schrodinger algebra which admits an extension ...
Reza Fareghbal+3 more
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On spinless null propagation in five dimensional space-times with approximate space-like Killing symmetry [PDF]
Five-dimensional (5D) space-time symmetry greatly facilitates how a 4D observer perceives the propagation of a single spinless particle in a 5D space-time.
Breban, Romulus
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The geometric role of symmetry breaking in gravity
In gravity, breaking symmetry from a group G to a group H plays the role of describing geometry in relation to the geometry the homogeneous space G/H.
Derek K Wise+10 more
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Geometry and symmetry on Sasakian manifolds
In [26] the second author has given a brief survey about the local generalization to arbitrary Riemannian manifolds of the notion of a reflection with respect to a point, a line or a linear subspace in a Euclidean space. Local symmetries with respect to a point (local geodesic symmetries) are well-known and these local diffeomorphisms are already used ...
P., Bueken, L., Vanhecke
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Gauge symmetry enhancement in Hamiltonian formalism
We study the Hamiltonian structure of the gauge symmetry enhancement in the enlarged CP(N) model coupled with U(2) Chern-Simons term, which contains a free parameter governing explicit symmetry breaking and symmetry enhancement.
A. D’Adda+19 more
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The geometry underlying mirror symmetry [PDF]
26 pages, AmS-LaTeX. Final version, to appear in Proc. European Algebraic Geometry Conference (Warwick, 1996)
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