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Given a hyper loop algebra over a non-algebraically closed field, we address multiplicity problems in the underlying abelian tensor category of finite-dimensional representations. Namely, we give formulas for the l-characters of the simple…

Representation Theory · Mathematics 2012-01-04 Dijana Jakelic , Adriano Moura

Let $\Field$ be an algebraically closed field. For $n \in \mathbb{N}$ and $\delta, \delta_L, \delta_R, \kappa_L, \kappa_R, \kappa \in \Field$, the symplectic blob algebra $\sba(\delta, \delta_L, \delta_R, \kappa_L, \kappa_R, \kappa)$ is a…

Representation Theory · Mathematics 2012-06-11 Andrew Reeves

In this article we give new examples of models in boundary quantum field theory, i.e. local time-translation covariant nets of von Neumann algebras, using a recent construction of Longo and Witten, which uses a local conformal net A on the…

Mathematical Physics · Physics 2012-08-20 Marcel Bischoff

We show that there are solitons with fractional fermion number in integrable $N$=2 supersymmetric models. We obtain the soliton S-matrix for the minimal, $N$=2 supersymmetric theory perturbed in the least relevant chiral primary field, the…

High Energy Physics - Theory · Physics 2009-10-22 P. Fendley , K. Intriligator

Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in the description of critical geometrical problems (percolation, self avoiding walks, etc.), or of critical points in several classes of disordered systems…

High Energy Physics - Theory · Physics 2013-11-22 A. M. Gainutdinov , J. L. Jacobsen , N. Read , H. Saleur , R. Vasseur

We introduce the class of modules of constant Jordan type for a finite group scheme $G$ over a field $k$ of characteristic $p > 0$. This class is closed under taking direct sums, tensor products, duals, Heller shifts and direct summands,…

Representation Theory · Mathematics 2007-07-27 Jon F. Carlson , Eric M. Friedlander , Julia Pevtsova

Normed division rings are reviewed in the more general framework of composition algebras that include the split (indefinite metric) case. The Jordan - von Neumann - Wigner classification of finite dimensional Jordan algebras is outlined…

High Energy Physics - Theory · Physics 2018-09-28 Ivan Todorov , Svetla Drenska

We introduce a method to design topological mechanical metamaterials that are not constrained by Newtonian dynamics. The unit cells in a mechanical lattice are subjected to active feedback forces that are processed through autonomous…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Lea Sirota , Roni Ilan , Yair Shokef , Yoav Lahini

A theoretical model of the transition radiation (TR) emission of an N electron bunch must comply with the covariance and the temporal-causality principles. A charge-density-like covariance must indeed imprint the formal expression of the TR…

Accelerator Physics · Physics 2013-06-05 Gian Luca Orlandi

We study the one-particle properties of the t-J model within the framework of Vollhardt's dynamical mean field theory. By introducing an AB - sublattice structure we explicitely allow for a broken symmetry for the spin degrees of freedom…

Condensed Matter · Physics 2007-05-23 Thomas Obermeier , Thomas Pruschke , Joachim Keller

We study the Jordan frame formulation of generalizations of scalar-tensor theories conceived by replacing the scalar with other fields such as vectors. The generic theory in this family contains higher order time derivative terms in the…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Fethi M. Ramazanoğlu

We introduce a new approach to modeling transition distribution amplitudes (TDAs) for the processes $e p \to e n \pi^+$ and $e p \to e p \pi^0$. The modeling is flexible, constrained by sparsely available experimental data, and satisfies…

High Energy Physics - Phenomenology · Physics 2025-09-03 B. Pire , K. Semenov-Tian-Shansky , P. Sznajder , L. Szymanowski

To date, computational methods for modeling defects (vacancies, adsorbates, etc.) rely on periodic supercells in which the defect is far enough from its repeated image such that they can be assumed non-interacting. Yet, the relative…

It is demonstrated that under common conditions a molecular solid subject to Jahn-Teller interactions supports stable Q-ball-like non-topological solitons. Such solitons represent a localized lump of excess electric charge in periodic…

Materials Science · Physics 2007-05-23 Dennis P. Clougherty

Let $G$ be a classical group with natural module $V$ over an algebraically closed field of good characteristic. For every unipotent element $u$ of $G$, we describe the Jordan block sizes of $u$ on the irreducible $G$-modules which occur as…

Group Theory · Mathematics 2020-01-20 Mikko Korhonen

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations from commensurability of the vortex lattice,…

Condensed Matter · Physics 2016-08-31 Enzo Granato

We discuss in this paper combinatorial aspects of boundary loop models, that is models of self-avoiding loops on a strip where loops get different weights depending on whether they touch the left, the right, both or no boundary. These…

Mathematical Physics · Physics 2009-11-13 Jesper Lykke Jacobsen , Hubert Saleur

In this paper, the aether field, which leads to the violation of Lorentz symmetries, coupled with the electromagnetic field is considered. In order to study thermal and size effects in this theory, the Thermo Field Dynamics (TFD) formalism…

High Energy Physics - Theory · Physics 2023-06-07 R. Corrêa , L. H. A. R. Ferreira , A. F. Santos , Faqir C. Khanna

Exact mechanisms of thermal conductivity in liquids are not well understood, despite rich research history. A vibrational model of energy transfer in dense simple liquids with soft pairwise interactions seems adequate to partially fill this…

Soft Condensed Matter · Physics 2024-02-06 S. A. Khrapak , A. G. Khrapak

We consider a quantum system of non-interacting fermions at temperature T, in the framework of linear response theory. We show that semiclassical theory is an appropriate framework to describe some of their thermodynamic properties, in…

Mathematical Physics · Physics 2009-11-07 Monique Combescure , Didier Robert
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