Results 101 to 110 of about 121,182 (204)

Reconfigurable non-Abelian integrated photonics

Nature Communications
Current integrated photonics typically utilizes the dynamical phase associated resonant on-chip components, leading to bandwidth-limited devices with perturbation-sensitive performance. Multi-mode geometric phase matrix, arising from the non-Abelian holonomy which is a non-resonant and global effect, has been recently introduced to integrated photonics
Shijie Sun, Xibin Wang, Shangrong Li, Daming Zhang, Qi-Dai Chen, Xu-Lin Zhang   +5 more
openaire   +2 more sources

Flat space spinning massive amplitudes from momentum space CFT

Journal of High Energy Physics
We discuss the flat space limit of AdS using the momentum space representation of CFT correlators. The flat space limit involves sending the AdS radius and the dimensions of operators dual to massive fields to infinity while also scaling appropriately ...
Raffaele Marotta, Kostas Skenderis, Mritunjay Verma   +2 more
doaj   +1 more source

Effective length‐projection bounds for hyperbolic 3‐manifolds diffeomorphic to S×R$S\times \mathbb {R}$

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We give a formula with explicit constants relating the subsurface projection dY(ν−,ν+)$d_Y(\nu ^-,\nu ^+)$ of the end invariants ν−,ν+$\nu ^-,\nu ^+$ of a hyperbolic 3‐manifold Q$Q$ diffeomorphic to S×R$S\times \mathbb {R}$ and the length of the geodesic representative in Q$Q$ of the multicurve ∂Y$\partial Y$.
Gabriele Viaggi
wiley   +1 more source

Stochastic Integrals and Abelian Processes [PDF]

SSRN Electronic Journal, 2008
We study triangulation schemes for the joint kernel of a diffusion process with uniformly continuous coefficients and an adapted, non-resonant Abelian process. The prototypical example of Abelian process to which our methods apply is given by stochastic integrals with uniformly continuous coeffcients.
openaire   +2 more sources

Invariant splitting principles for the Lipshitz–Ozsváth–Thurston correspondence

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove that the Lipshitz–Ozsváth–Thurston correspondence between extended type D structures of knot complements and F[U,V]/(UV)$\mathbb{F}[U,V]/(\textit{UV})$ knot Floer complexes can be arranged so that ιK${\iota}_{K}$‐invariant splittings of knot Floer chain complexes correspond to ιS3∖K${\iota}_{{S}^{3}\setminus K}$‐invariant splittings ...
Gary Guth, Sungkyung Kang
wiley   +1 more source

On gauge amplitudes first appearing at two loops

Journal of High Energy Physics
We study scattering amplitudes in massless non-abelian gauge theory where all outgoing gluons have positive helicity. It has been argued recently by Costello that for a particular fermion representation (8 fundamentals plus one antisymmetric-tensor ...
Lance J. Dixon, Anthony Morales
doaj   +1 more source

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

Feynman integrals, hypergeometric functions and nested sums [PDF]

, 2009
Bejdakic E. Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University; 2009.In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions ...
Bejdakic, Ervin
core  

Towards the realization of the dark dimension scenario in Hořava-Witten theory

Journal of High Energy Physics
It has been suggested that Hořava-Witten theory could provide a concrete realization of the Dark Dimension Scenario. In this context, the observable Standard Model sector is naturally localized in the micron-sized large dimension, which is the interval ...
Ralph Blumenhagen, Antonia Paraskevopoulou   +1 more
doaj   +1 more source

Abelian and Tauberian theorems for integrals

, 2012
A new method of obtaining Abelian and Tauberian theorems for the integral of the form $\int\limits_0^\infty K(\frac{t}{r}) dμ(t)$ is proposed. It is based on the use of limit sets of the measures. A version of Azarin's sets is constructed for Radon's measures on the ray $(0,\infty)$.
Grishin, A. F., Poedintseva, I. V.
openaire   +2 more sources