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This is a review of the theoretical aspects of the supersymmetric extension of the Standard Model of particle physics, extracted from Chapter 87 of the 2026 Review of Particle Physics, F. Takahashi et al. (Particle Data Group), Int. J. Mod.…

High Energy Physics - Phenomenology · Physics 2026-05-26 Ben Allanach , Howard E. Haber

Spin-imbalanced ultracold Fermi gases have been widely studied recently as a platform for exploring the long-sought Fulde-Ferrell-Larkin-Ovchinnikov superfluid phases, but so far conclusive evidence has not been found. Here we propose to…

Quantum Gases · Physics 2016-03-31 Zhen Zheng , Chunlei Qu , Xubo Zou , Chuanwei Zhang

This note is an (exact) copy of the report of Jaak Peetre, "Generalizing Ovchinnikov's Theorem". Published as Technical Report, Lund (1981). Some more recent general references have been added, some references updated though (in italics)…

Functional Analysis · Mathematics 2023-10-06 Jaak Peetre , Per G. Nilsson

We provide a precise statement and self contained proof of a Sobolev inequality (cf. [A, page 236 and page 237]) stated in the original paper. Higher order and fractional inequalities are treated as well.

Functional Analysis · Mathematics 2018-06-22 Mario Milman

We present a progress overview focused on the recent theoretical and experimental advances in the area of soliton manipulation in optical lattices. Optical lattices offer the possibility to engineer and to control the diffraction of light…

Optics · Physics 2009-07-07 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We reformulate results from the paper ``Linear vortex symmetrization: The spectral density function" by Ionescu and the author in simplified forms and derive rigorously the bounds given in Bassom and Gilbert (J. Fluid Mech., 1998), which…

Analysis of PDEs · Mathematics 2024-03-15 Hao Jia

Using ideas of Olson \cite{Ols} who showed that the system of effect operators of a Hilbert space can be ordered by the so-called spectral order such that the system of effect operators is a complete lattice. Using his ideas, we introduce a…

Logic · Mathematics 2016-08-24 Anatolij Dvurečenskij

We present formal expressions for the optical scalars in terms of the curvature scalars in the weak gravitational lensing regime at second order in perturbations of a flat background without mentioning the extension of the lens or their…

General Relativity and Quantum Cosmology · Physics 2018-04-16 Gabriel Crisnejo , Emanuel Gallo

We continue the algebraic investigation of PBZ*-lattices, a notion introduced in [12] in order to obtain insights into the structure of certain algebras of effects of a Hilbert space, lattice-ordered under the spectral ordering.

Logic · Mathematics 2018-03-20 Roberto Giuntini , Antonio Ledda , Francesco Paoli

In this short paper, we present some comments on the paper: Straight lightning as a signature of macroscopic dark matter, by Nathaniel Starkman, Harrison Winch, Jagjit Singh Sidhu, and Glenn Starkman, Phys. Rev. D 103, 063024, Published 18…

Applied Physics · Physics 2021-08-17 V. Cooray , G. Cooray , M. Rubinstein , F. Rachidi

In this note we introduce a new technique to answer an issue posed in [7] concerning geometric properties of the set of non-surjective linear operators. We also extend and improve a related result from the same paper.

Functional Analysis · Mathematics 2020-09-08 Diogo Diniz , Anselmo Raposo

Larkin-Ovchinnikov superconducting state has spontaneous modulation of Cooper pair density, while Fulde-Ferrell state has a spontaneous modulation in the phase of the order parameter. We report that a quasi-two-dimensional Dirac metal,…

Superconductivity · Physics 2019-07-09 Mats Barkman , Alexander A. Zyuzin , Egor Babaev

This paper was conceived as an addendum to the note "Rokhlin's signature theorems" (by O.Viro and the authors of this paper). In the main section we give an overview of Rokhlin's proof of his famous theorem on divisibility of signature by…

Geometric Topology · Mathematics 2020-12-14 Sergey Finashin , Viatcheslav Kharlamov

This is a comment on the recent paper by O.V. Selyugin, J.-R. Cudell, and E. Predazzi "Analytic properties of different unitarization schemes" arXiv: 0712.0621v2, [hep-ph]

High Energy Physics - Phenomenology · Physics 2008-01-09 S. M. Troshin

We develop a notion of finite order lacunarity for direction sets in $\mathbb R^{d+1}$. Given a direction set $\Omega$ that is sublacunary according to this definition, we construct random examples of Euclidean sets that contain unit line…

Classical Analysis and ODEs · Mathematics 2014-05-05 Edward Kroc , Malabika Pramanik

The concept of uniform tangent sets was introduced and discussed in [3 - Krastanov, Ribarska, SIAM J. Control Optim., 55(3), 2017]. This study is devoted to their further investigation and to generalization of the abstract Lagrange…

Optimization and Control · Mathematics 2017-12-06 Mira Bivas , Nadezhda Ribarska , Mladen Valkov

Reply to Comment by Flenner and Szamel on our paper in Nature Physics 8, 164 (2012).

Disordered Systems and Neural Networks · Physics 2013-09-09 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

We give a summary of recent results on the explicit local form of the second-order symmetric Lorentzian manifolds in arbitrary dimension, and its global version. These spacetimes turn out to be essentially a specific subclass of plane…

Differential Geometry · Mathematics 2015-03-17 O F Blanco , M Sánchez , J M M Senovilla

We greatly expand upon the results of Kochengin, Oliker and Tempeski [S. Kochengin, V. Oliker, O. von Tempeski, On the design of reflectors with prescribed distribution of virtual sources and intensities, Inverse Problems 14 (1998)…

Analysis of PDEs · Mathematics 2023-01-06 Dylanger Pittman

This is the reply to a Comment by I.S.Tupitsyn and P.C.E. Stamp (PRL v92,119701 (2004)) on a letter of ours (J.F.Fernandez and J.J.Alonso, PRL v91, 047202 (2003)).

Other Condensed Matter · Physics 2007-05-23 J. F. Fernandez , J. J. Alonso