Results 71 to 80 of about 414 (184)

New Examples of Einstein Metrics in Dimension Four

International Journal of Mathematics and Mathematical Sciences, 2010
We construct new examples of four-dimensional Einstein metrics with neutral signature and two-dimensional holonomy Lie algebra.
Ryad Ghanam
doaj   +1 more source

Mirror symmetry for G 2-manifolds: twisted connected sums and dual tops

Journal of High Energy Physics, 2017
Recently, at least 50 million of novel examples of compact G 2 holonomy manifolds have been constructed as twisted connected sums of asymptotically cylindrical Calabi-Yau threefolds.
Andreas P. Braun, Michele Del Zotto
doaj   +1 more source

Holonomy and inverse-triad corrections in spherical models coupled to matter

European Physical Journal C: Particles and Fields, 2021
Loop quantum gravity introduces two characteristic modifications in the classical constraints of general relativity: the holonomy and inverse-triad corrections.
Asier Alonso-Bardaji, David Brizuela
doaj   +1 more source

QUANTUM HOLONOMIES FOR QUANTUM COMPUTING [PDF]

International Journal of Modern Physics B, 2001
Holonomic Quantum Computation (HQC) is an all-geometrical approach to quantum information processing. In the HQC strategy information is encoded in degenerate eigen-spaces of a parametric family of Hamiltonians. The computational network of unitary quantum gates is realized by driving adiabatically the Hamiltonian parameters along loops in a control ...
Pachos, Jiannis, Zanardi, Paolo
openaire   +3 more sources

Profinite rigidity for free‐by‐cyclic groups with centre

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract A free‐by‐cyclic group FN⋊ϕZ$F_N\rtimes _\phi \mathbb {Z}$ has non‐trivial centre if and only if [ϕ]$[\phi]$ has finite order in Out(FN)${\rm {Out}}(F_N)$. We establish a profinite rigidity result for such groups: if Γ1$\Gamma _1$ is a free‐by‐cyclic group with non‐trivial centre and Γ2$\Gamma _2$ is a finitely generated free‐by‐cyclic group ...
Martin R. Bridson, Paweł Piwek
wiley   +1 more source

Asymptotic estimates of large gaps between directions in certain planar quasicrystals

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract For quasicrystals of cut‐and‐project type in Rd$\mathbb {R}^d$, it was proved by Marklof and Strömbergsson [Int. Math. Res. Not. IMRN (2015), no. 15, 6588–6617; erratum, ibid. 2020] that the limit local statistical properties of the directions to the points in the set are described by certain SLd(R)$\operatorname{SL}_d(\mathbb {R})$‐invariant ...
Gustav Hammarhjelm, Andreas Strömbergsson, Shucheng Yu   +2 more
wiley   +1 more source

Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley   +1 more source

Thermal Ground State and Nonthermal Probes

Advances in Mathematical Physics, 2015
The Euclidean formulation of SU(2) Yang-Mills thermodynamics admits periodic, (anti)self-dual solutions to the fundamental, classical equation of motion which possess one unit of topological charge: (anti)calorons.
Thierry Grandou, Ralf Hofmann
doaj   +1 more source

Magnetically charged calorons with non-trivial holonomy

Journal of High Energy Physics, 2018
Instantons in pure Yang-Mills theories on partially periodic space ℝ3×S1 $$ {\mathrm{\mathbb{R}}}^3\times {S}^1 $$ are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which ...
Takumi Kato, Atsushi Nakamula, Koki Takesue   +2 more
doaj   +1 more source

Asymptotic behavior of Moncrief Lines in constant curvature space‐times

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1347-1359, May 2025.
Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti, Abderrahim Mesbah, Lamine Messaci   +2 more
wiley   +1 more source