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After formulating the frequency-domain Maxwell equations for a homogeneous, linear, bianisotropic material occupying a bounded region, we found that the axionic piece vanishes from both the differential equations valid in the region and the…

Optics · Physics 2015-08-26 Akhlesh Lakhtakia , Tom G. Mackay

In this paper we study the existence of gradings on finite dimensional associative algebras. We prove that a connected algebra $A$ does not have a non-trivial grading if and only if $A$ is basic, its quiver has one vertex, and its group of…

Representation Theory · Mathematics 2015-05-06 Dusko Bogdanic

(ABBREVIATED) We consider the structure of neutron star magnetospheres threaded by large-scale electrical currents, and the effect of resonant Compton scattering by the charge carriers (both electrons and ions) on the emergent X-ray spectra…

Astrophysics · Physics 2011-04-04 C. Thompson , M. Lyutikov , S. R. Kulkarni

Anisotropic magnetoresistance (AMR) arises from symmetry lowering of the conductivity tensor induced by magnetic order. In simple ferromagnets, AMR is a relativistic effect, relying on spin-orbit interaction (SOC). Here, we demonstrate that…

Materials Science · Physics 2025-07-17 Philipp Ritzinger , Ondřej Sedláček , Jakub Železný , Karel Výborný

We explore the possibility that soft gamma-ray repeaters (SGRs) and anomalous X-ray pulsars (AXPs) are powered by highly magnetized white dwarfs (B-WDs). We take a sample of SGRs and AXPs and provide the possible parameter space in mass,…

High Energy Astrophysical Phenomena · Physics 2016-05-10 Banibrata Mukhopadhyay , A. R. Rao

We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vector spaces) to any small category. Another type of questions…

Category Theory · Mathematics 2025-05-20 Emmanuel Dror Farjoun , Sergei O. Ivanov , Aleksandr Krasilnikov , Anatolii Zaikovskii

In this article, we prove that any complex smooth rational surface $X$ which has no automorphism of positive entropy has a finite number of real forms (this is especially the case if $X$ cannot be obtained by blowing up $\mathbb…

Algebraic Geometry · Mathematics 2015-12-01 Mohamed Benzerga

High-energy observations have unveiled peculiar classes of isolated neutron stars which, at variance with radio pulsars, are mostly radio silent and not powered by the star rotation. Among these objects are the magnetars, hyper-magnetized…

Several candidates for accreting magnetars have been proposed recently by different authors. Existence of such systems contradicts the standard magnetic field decay scenario where a large magnetic field of a neutron star reaches $\lesssim$…

High Energy Astrophysical Phenomena · Physics 2017-11-29 A. P. Igoshev , S. B. Popov

We demonstrate that in calculation, where unitarity constraints are properly imposed, the deeply bound hadronic molecules recently proposed by Close and Downum do not exist.

High Energy Physics - Phenomenology · Physics 2016-08-14 A. A. Filin , A. Romanov , V. Baru , C. Hanhart , Yu. S. Kalashnikova , A. E. Kudryavtsev , U. -G. Meißner , A. V. Nefediev

A self-consistent statistical approach to the problem of planetary and stellar magnetism is suggested. The mechanism of magnetic field generation in the astronomical objects, where the existence of fields is associated with the axial…

Astrophysics · Physics 2015-06-24 S. N. Arteha

In the last years, optical studies of Isolated Neutron Stars (INSs) have expanded from the more classical rotation-powered ones to other categories, like the Anomalous X-ray Pulsars (AXPs) and the Soft Gamma-ray Repeaters (SGRs), which make…

Astrophysics · Physics 2008-11-26 R. P. Mignani , S. Bagnulo , A. De Luca , G. L. Israel , G. Lo Curto , C. Motch , R. Perna , N. Rea , R. Turolla , S. Zane

We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an example we obtain new proofs for the existence of several…

Category Theory · Mathematics 2023-06-22 Kevin Coulembier

Light (pseudo-)scalar fields are promising candidates to be the dark matter in the Universe. Under certain initial conditions in the early Universe and/or with certain types of self-interactions, they can form compact dark-matter objects…

We investigate the existence and non-existence of modular forms of low weight with a character with respect to the paramodular group $\Gamma_t$ and discuss the resulting geometric consequences. Using an advanced version of Maa\ss\ lifting…

alg-geom · Mathematics 2008-02-03 V. Gritsenko , K. Hulek

It is assumed that in a two-dimensional electron system with strong correlation (a Wigner liquid), appearance of some relatively slow-moving objects (clusters) composed of small number of electrons is possible. Such clusters may exist in…

Strongly Correlated Electrons · Physics 2007-05-23 E. G. Batyev

Soft gamma repeaters and anomalous x-ray pulsars form a rapidly increasing group of x-ray sources exhibiting sporadic emission of short bursts. They are believed to be magnetars, i.e. neutron stars powered by extreme magnetic fields,…

High Energy Astrophysical Phenomena · Physics 2015-05-20 N. Rea , P. Esposito , R. Turolla , G. L. Israel , S. Zane , L. Stella , S. Mereghetti , A. Tiengo , D. Gotz , E. Gogus , C. Kouveliotou

We construct smooth families of elliptic surface pairs with terminal singularities over a DVR of positive or mixed characteristic $(X,B)\to \mathrm{Spec}R$, such that $P_m(X_k,B_k)>P_m(X_K,B_K)$ for all sufficiently divisible $m>0$. In…

Algebraic Geometry · Mathematics 2022-06-07 Iacopo Brivio

We examine the issue whether a magnetic field can be amplified in a background matter consisting of electrons and positrons self-interacting within the Fermi model. For this purpose we compute the antisymmetric contribution to the photon…

High Energy Physics - Phenomenology · Physics 2016-08-11 Maxim Dvornikov

Suppose $R\rightarrow S$ is a faithfully flat ring map. The theory of twisted forms lets one compute, given an $R$-module $M$, how many isomorphism classes of $R$-modules $M^{\prime}$ satisfy $S\otimes_R M\cong S\otimes_R M^{\prime}$. This…

Category Theory · Mathematics 2015-01-14 A. Salch