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In this paper we derive the type-II integrable defect for the N = 2 supersymmetric sinh-Gordon (sshG) model by using the fusing procedure. In particular, we show explicitly the conservation of the modified energy, momentum and supercharges.

Mathematical Physics · Physics 2016-02-02 N. I. Spano , A. R. Aguirre , J. F. Gomes , A. H. Zimerman

We have investigated charge transport processes in a superconducting single-electron transistor (S-SET) fabricated in close proximity to a two-dimensional electron gas (2DEG) in a GaAs/AlGaAs heterostructure. The macroscopic bonding pads of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. Lu , K. D. Maranowski , A. J. Rimberg

Let $S$ be a set of transpositions generating the symmetric group $S_n$. The transposition graph of $S$ is defined to be the graph with vertex set $\{1,\ldots,n\}$, and with vertices $i$ and $j$ being adjacent in $T(S)$ whenever $(i,j) \in…

Combinatorics · Mathematics 2015-11-18 Ashwin Ganesan

We investigate the S-matrix of N=2 supersymmetric sine-Gordon theory based on the N=2 supersymmetry and the quantum group structure. The topological charges play an important role to derive physical contents.

High Energy Physics - Theory · Physics 2009-10-22 Ken-ichiro Kobayashi , Tsuneo Uematsu

Within the quantum sine-Gordon model a transmission matrix describing the scattering of a soliton with a fused pair of integrable defects is proposed. The result is consistent with the classical picture of scattering and highlights the…

High Energy Physics - Theory · Physics 2014-11-21 E. Corrigan , C. Zambon

We describe a non-extensional variant of Martin-L\"of type theory which we call two-dimensional type theory, and equip it with a sound and complete semantics valued in 2-categories.

Logic · Mathematics 2011-10-17 Richard Garner

Topological models involving matter couplings to Donaldson-Witten theory are presented. The construction is carried using both, the topological algebra and its central extension, which arise from the twisting of $N=2$ supersymmetry in four…

High Energy Physics - Theory · Physics 2009-10-28 M. Alvarez , J. M. F. Labastida

We compute $\frac{1}{2}$-derivations on the deformative Schr\"{o}dinger-Witt algebra, on not-finitely graded Witt algebras $W_n(G)$, and on not-finitely graded Heisenberg-Witt algebra $HW_n(G)$. We classify all transposed Poisson structures…

Rings and Algebras · Mathematics 2024-05-21 Ivan Kaygorodov , Abror Khudoyberdiyev , Zarina Shermatova

In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, covering a broad variety of different structures for parametric…

Numerical Analysis · Mathematics 2021-07-13 Peter Benner , Serkan Gugercin , Steffen W. R. Werner

This paper explores a novel approach to achieving emergent compositional communication in multi-agent systems. We propose a training regime implementing template transfer, the idea of carrying over learned biases across contexts. In our…

Machine Learning · Computer Science 2019-10-15 Tomasz Korbak , Julian Zubek , Łukasz Kuciński , Piotr Miłoś , Joanna Rączaszek-Leonardi

We have developed a novel system consisting of a superconducting single-electron transistor (S-SET) coupled to a two-dimensional electron gas (2DEG), for which the dissipation can be tuned in the immediate vicinity of the S-SET. Within…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. Lu , K. D. Maranowski , A. J. Rimberg

In this paper we investigate the bifurcation structure of the triangular SKT model in the weak competition regime and of the corresponding fast-reaction system in 1D and 2D domains via numerical continuation methods. We show that the…

Analysis of PDEs · Mathematics 2019-11-06 Christian Kuehn , Cinzia Soresina

We extend our calculations with the second-order tree-level and tadpole improved next-nearest-neighbor action to meson-meson systems. Correlation matrices built from interpolating fields representing two pseudoscalar mesons (pion-pion) with…

High Energy Physics - Lattice · Physics 2009-10-30 H. R. Fiebig , H. Markum , A. Mihaly , K. Rabitsch , R. M. Woloshyn

We propose a Lax equation for the non-linear sigma model which leads directly to the conserved local charges of the system. We show that the system has two infinite sets of such conserved charges following from the Lax equation, much like…

High Energy Physics - Theory · Physics 2008-11-26 J. C. Brunelli , A. Constandache , Ashok Das

We derive the most general Seiberg-Witten maps for noncommutative gauge theories in second order of the noncommutative parameter theta. Our results reveal the existence of more ambiguities than previously known. In particular, we…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ana Alboteanu , Thorsten Ohl , Reinhold Rückl

Transitions among different mechanisms of two-proton decay are studied in general. The introduced improved direct-decay model generalizes the semi-analytical models used before and provides flawless phenomenological description of…

Nuclear Theory · Physics 2016-09-28 T. A. Golubkova , X. Xu , L. V. Grigorenko , I. G. Mukha , C. Scheidenberger , M. V. Zhukov

The multi-scale computational method of combining first-principles calculation and finite element electromagnetic simulations is used to study plasmon-enhanced interlayer charge transfer (ICT) exciton of 2D lateral and van der Waals…

Optics · Physics 2020-03-30 Xijiao Mu , Mengtao Sun

We show that any translate of a model set is a model set in some modified cut-and-project scheme. Restricting to Euclidean direct space, we show that any translate of an inter model set is a model set in some modified cut-and-project scheme…

Mathematical Physics · Physics 2024-09-05 Christoph Richard , Nicolae Strungaru

Subwavelength ring-shaped structures of quantum emitters exhibit outstanding radiation properties and are useful for antennas, excitation transport, and storage. Taking inspiration from the oligomeric geometry of biological light-harvesting…

We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of the second…

Mathematical Physics · Physics 2012-10-29 Jean Avan , Eric Ragoucy