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A null vector is an algebraic quantity with square equal to zero. I denote the universal algebra generated by taking all sums and products of null vectors over the real or complex numbers by N. The rules of addition and multiplication in N…

General Mathematics · Mathematics 2023-03-08 Garret Sobczyk

To extract the maximum information about the object from a series of binary samples in ghost imaging applications, we propose and demonstrate a framework for optimizing the performance of ghost imaging with binary sampling to approach the…

Data Analysis, Statistics and Probability · Physics 2020-03-12 Dongyue Yang , Guohua Wu , Bin Luo , Longfei Yin

Recently, theoretical studies on the bumblebee gravity model, a nonminimally-coupled vector-tensor theory that violates the Lorentz symmetry, have flourished, with a simultaneous increase in the utilization of observations to impose…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Peixiang Ji , Zhuhai Li , Lirui Yang , Rui Xu , Zexin Hu , Lijing Shao

Symmergent gravity is the $R+R^2$ gravity theory which emerges in a way restoring gauge symmetries broken explicitly by the ultraviolet cutoff in effective field theories. To test symmergent gravity we construct novel black hole solutions…

General Relativity and Quantum Cosmology · Physics 2021-11-09 İrfan Çimdiker , Durmuş Demir , Ali Övgün

In vacuum string field theory, the sliver state solution has been proposed as a candidate of a D-brane configuration. Physical observables associated with this solution, such as its energy density and the tachyon mass, are written in terms…

High Energy Physics - Theory · Physics 2009-11-07 Hiroyuki Hata , Sanefumi Moriyama , Shunsuke Teraguchi

The ghost algebra is a two-boundary extension of the Temperley-Lieb algebra, constructed recently via a diagrammatic presentation. The existing two-boundary Temperley-Lieb algebra has a basis of two-boundary string diagrams, where the…

Representation Theory · Mathematics 2024-10-30 Madeline Nurcombe

A BV algebra is a formal framework within which the BV quantization algorithm is implemented. In addition to the gauge symmetry, encoded in the BV master equation, the master action often exhibits further global symmetries, which may be in…

High Energy Physics - Theory · Physics 2014-11-20 Roberto Zucchini

We construct a black hole solution on warped deformed conifold in type IIB supergravity with fluxes. The black hole has translationary invariant horizon and is a holographic dual to a thermal homogeneous and isotropic state of a cascading…

High Energy Physics - Theory · Physics 2019-09-25 Alex Buchel

Electromagnetic response is studied for clusters of subwavelength graphene-coated nanowires illuminated by a linearly polarized plane wave in the terahertz frequency range. The solution of the scattering problem is obtained with the…

$U(1)_X$SSM is the extension of the minimal supersymmetric standard model(MSSM) and its local gauge group is $SU(3)_C\times SU(2)_L \times U(1)_Y \times U(1)_X$. To obtain this model, three singlet new Higgs superfields and right-handed…

High Energy Physics - Phenomenology · Physics 2020-03-18 Shu-Min Zhao , Tai-Fu Feng , Ming-Jie Zhang , Jin-Lei Yang , Hai-Bin Zhang , Guo-Zhu Ning

Reconstructing 3D assets from images, known as inverse rendering (IR), remains a challenging task due to its ill-posed nature. 3D Gaussian Splatting (3DGS) has demonstrated impressive capabilities for novel view synthesis (NVS) tasks.…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Hanxiao Sun , YuPeng Gao , Jin Xie , Jian Yang , Beibei Wang

A simple and robust experiment demonstrating computational ghost imaging with structured illumination and a single-pixel detector has been performed. Our experimental setup utilizes a general computer for generating pseudo-randomly patterns…

Optics · Physics 2015-02-10 Lijun Song , Cheng Zhou , Li Chen , Xiaoguang Wang , Jing Cheng

Making use of integral representations, we develop a unified approach to establish blow up profiles, compactness and existence of positive solutions of the conformally invariant equations $P_\sigma(v)= Kv^{\frac{n+2\sigma}{n-2\sigma}}$ on…

Analysis of PDEs · Mathematics 2014-11-24 Tianling Jin , YanYan Li , Jingang Xiong

We implement the numerical inverse scattering transform (NIST) for the sine-Gordon equation in laboratory coordinates on the real line using the method developed by Trogdon, Olver and Deconinck. The NIST allows one to compute the solution…

Exactly Solvable and Integrable Systems · Physics 2019-09-04 Bernard Deconinck , Thomas Trogdon , Xin Yang

A quantum ghost that destabilizes the Schwarzschild solution, transforming it into a naked singularity, may seem like a physicist's worst nightmare. However, we argue that this scenario represents the natural evolution of a black hole…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Alfio Bonanno , Samuele Silveravalle

The computation of gravitational wave scattering on black hole spacetimes is an extremely hard problem, typically requiring approximation schemes that either treat the black hole perturbatively or are only amenable to numerical techniques.…

High Energy Physics - Theory · Physics 2026-04-30 Tim Adamo , Giuseppe Bogna , Lionel Mason , Atul Sharma

Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations ("gaugings"), i.e., the deformations that preserve the number (but…

High Energy Physics - Theory · Physics 2018-04-04 Glenn Barnich , Nicolas Boulanger , Marc Henneaux , Bernard Julia , Victor Lekeu , Arash Ranjbar

The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged supergravity are classified according to the fraction of preserved supersymmetry using spinorial geometry techniques. Subject to a reasonable assumption in the…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Cacciatori , M. M. Caldarelli , D. Klemm , D. S. Mansi , D. Roest

We will study an open problem pertaining to the uniqueness of minimizers for a class of variational problems emanating from Meyer's model for the decomposition of an image into a geometric part and a texture part. Mainly, we are interested…

Optimization and Control · Mathematics 2018-12-11 Romeo Awi , Rohit Gupta

Ghost imaging (GI) is an unconventional imaging method that retrieves the image of an object by correlating a series of known illumination patterns with the total reflected (or transmitted) intensity. We here demonstrate a scheme which can…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Yuan Yuan , Hui Chen