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We study the exceptional theta correspondence for real groups obtained by restricting the minimal representation of the split exceptional group of the type E_n, to a split dual pair where one member is the exceptional group of the type G_2.…

Representation Theory · Mathematics 2017-05-23 Hung Yean Loke , Gordan Savin

The interplay of different scattering mechanisms can lead to novel effects in transport. We show theoretically that the interplay of weak impurity and Umklapp scattering in spin-1/2 chains leads to a pronounced dip in the magnetic field…

Strongly Correlated Electrons · Physics 2009-11-13 E. Shimshoni , D. Rasch , P. Jung , A. V. Sologubenko , A. Rosch

The scattering amplitude for the longitudinal weak bosons is investigated in the SU(3) gauge-Higgs unification as a function of the scattering energy, the Wilson line phase \theta_H and the warp factor. The \theta_H-dependence of the…

High Energy Physics - Phenomenology · Physics 2009-07-22 Naoyuki Haba , Yutaka Sakamura , Toshifumi Yamashita

We establish a canonical correspondence between connected quandles and certain configurations in transitive groups, called quandle envelopes. This correspondence allows us to efficiently enumerate connected quandles of small orders, and…

Group Theory · Mathematics 2015-06-08 Alexander Hulpke , David Stanovský , Petr Vojtěchovský

We study the weighted spectrum and vanishing cohomology for several classes of isolated hypersurface singularities, and how they contribute to the limiting mixed Hodge structure of a smoothing. Applications are given to several types of…

Algebraic Geometry · Mathematics 2024-01-23 Matt Kerr , Radu Laza

We formulate a weak Gorenstein property for the Eisenstein component of the p-adic Hecke algebra associated to modular forms. We show that this weak Gorenstein property holds if and only if a weak form of Sharifi's conjecture and a weak…

Number Theory · Mathematics 2016-01-20 Preston Wake

Topologically non trivial effects appearing in the discussion of duality transformations in higher genus manifolds are discussed in a simple example, and their relation with the properties of Topological Field Theories is established.

High Energy Physics - Theory · Physics 2008-11-26 J. Stephany

Several characterizations of weak cotype 2 and weak Hilbert spaces are given in terms of basis constants and other structural invariants of Banach spaces. For finite-dimensional spaces, characterizations depending on subspaces of fixed…

Functional Analysis · Mathematics 2009-09-25 P. Mankiewicz , Nicole Tomczak-Jaegermann

We investigate the topological properties of one-dimensional weakly interacting topological insulators using bosonization. To do that we study the topological edge states that emerge at the edges of a model realized by a strong impurity or…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Polina Matveeva , Dmitri Gutman , Sam T. Carr

We study the strangeness $S=-2$ baryon-baryon interactions in relativistic chiral effective field theory at leading order. Among the 15 relevant low energy constants, eight of them are determined by fitting to the state of the art lattice…

Nuclear Theory · Physics 2019-01-02 Kai-Wen Li , Tetsuo Hyodo , Li-Sheng Geng

We characterize the weak-type boundedness of the Hilbert transform $H$ on weighted Lorentz spaces $\Lambda^p_u(w)$, with $p>0$, in terms of some geometric conditions on the weights $u$ and $w$ and the weak-type boundedness of the…

Classical Analysis and ODEs · Mathematics 2024-02-08 Elona Agora , María J. Carro , Javier Soria

Just like the weakly interacting QED can support non-perturbative phenomena, like atoms, so can the weak and Higgs interactions. Especially, there are strong field-theoretical arguments that only bound states can be the (quasi-)asymptotic…

High Energy Physics - Lattice · Physics 2013-08-07 Axel Maas , Tajdar Mufti

We explore the connections between Dickson's lemma and weak Ramsey theory. We show that a weak version of the Paris--Harrington principle for pairs in $c$ colors and miniaturized Dickson's lemma for $c$-tuples are equivalent over…

Logic · Mathematics 2018-08-03 Yasuhiko Omata , Florian Pelupessy

We say that an infinite word w is weak abelian periodic if it can be factorized into finite words with the same frequencies of letters. In the paper we study properties of weak abelian periodicity, its relations with balance and frequency.…

Combinatorics · Mathematics 2013-02-19 Sergey Avgustinovich , Svetlana Puzynina

In a work of T. Saito, the action of algebraic correspondences on the etale cohomology of varieties over local fields with semistable reduction is related to correspondences on smaller strata via weight spectral sequences. We give an…

Number Theory · Mathematics 2011-09-13 Teruyoshi Yoshida

We examine a strong/weak duality between a Heisenberg coset of a theory with $\mathfrak{sl}_n$ subregular $\mathcal{W}$-algebra symmetry and a theory with a $\mathfrak{sl}_{n|1}$-structure. In a previous work, two of the current authors…

High Energy Physics - Theory · Physics 2021-10-27 Thomas Creutzig , Yasuaki Hikida , Devon Stockall

We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our…

Fluid Dynamics · Physics 2024-01-25 Ran Holtzman , Marco Dentz , Marcel Moura , Mykyta Chubynsky , Ramon Planet , Jordi Ortin

Let $G$ be a unimodular locally compact group. We define a property of irreducible unitary $G$-representations $V$ which we call c-temperedness, and which for the trivial $V$ boils down to F{\o}lner's condition (equivalent to the trivial…

Representation Theory · Mathematics 2022-03-03 David Kazhdan , Alexander Yom Din

We study the extension of our translationally invariant treatment of few-body nuclear systems to include tensor forces and correlations. It is shown that a direct application of our method is not as successful for realistic V6 interactions…

Nuclear Theory · Physics 2009-10-31 R. F. Bishop , R. Guardiola , I. Moliner , J. Navarro , M. Portesi , A. Puente , N. R. Walet

We discuss the composite nature of hadrons appearing near the s-wave two-hadron threshold. Generalizing the Weinberg's weak-binding relation for stable bound states, we show that the compositeness of near-threshold resonances and…

High Energy Physics - Phenomenology · Physics 2015-12-11 Tetsuo Hyodo