Results 11 to 20 of about 16,119 (189)
Moduli Spaces of Punctured Poincaré Disks [PDF]
, 2012 The Tamari lattice and the associahedron provide methods of measuring associativity on a line. The real moduli space of marked curves captures the space of such associativity. We consider a natural generalization by considering the moduli space of marked particles on the Poincar disk, extending Tamari's notion of associativity based on nesting.
Fehrman, B +3 more
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Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings
SciPost Physics, 2022 We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained in a natural way from regular tilings of the hyperbolic Poincaré disk, via
Pablo Basteiro, Giuseppe Di Giulio, Johanna Erdmenger, Jonathan Karl, René Meyer, Zhuo-Yu Xian
doaj +1 more source
, 2015 The cosmological models called $\alpha$-attractors provide an excellent fit to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r = 12\alpha/N^{2}$ are very robust with respect to the modifications of the inflaton potential.
Kallosh, Renata, Linde, Andrei
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Three isometrically equivalent models of the Finsler-Poincaré disk
2021 IEEE 15th International Symposium on Applied Computational Intelligence and Informatics (SACI), 2021 IEEE 15th International Symposium on Applied Computational Intelligence and Informatics, Timisoara ...
Mester, Ágnes, Kristály, Alexandru
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Black Hole Deconstruction [PDF]
, 2007 A D4-D0 black hole can be deconstructed into a bound state of D0 branes with a D6-anti-D6 pair containing worldvolume fluxes. The exact spacetime solution is known and resembles a D0 accretion disk surrounding a D6-anti-D6 core.
A Fujii +22 more
core +3 more sources
Global AdS Picture of 1/2 BPS Wilson Loops [PDF]
, 2010 We study the holographic dual string configuration of 1/2 BPS circular Wilson loops in N=4 super Yang-Mills theory by using the global coordinate of AdS.
A Dymarsky +14 more
core +3 more sources
Transversal conics and the existence of limit cycles [PDF]
, 2014 This paper deals with the problem of location and existence of limit cycles for real planar polynomial differential systems. We provide a method to construct Poincar\'e--Bendixson regions by using transversal conics.
Giacomini, Héctor, Grau, Maite
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A New Hyperbolic Area Formula of a Hyperbolic Triangle and Its Applications
Journal of Mathematics, 2014 We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyperbolic area and length formula of Euclidean disk and a circle represented by its Euclidean center and radius.
Hui Bao, Xingdi Chen
doaj +1 more source
Intrinsic linking and knotting of graphs in arbitrary 3-manifolds [PDF]
, 2005 We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically ...
Blake Mellor +10 more
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Aharonov-Bohm effect on the Poincaré disk [PDF]
Journal of Mathematical Physics, 2007 We consider formal quantum Hamiltonian of a charged particle on the Poincaré disk in the presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown that this Hamiltonian admits a four-parameter family of self-adjoint extensions.
openaire +4 more sources