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By extending the approach of Berry and Robnik, the limiting level spacing distribution of a system consisting of infinitely many independent components is investigated. The limiting level spacing distribution is characterized by a single…

Chaotic Dynamics · Physics 2009-11-10 H. Makino , S. Tasaki

We review the construction of exactly solvable lattice models whose continuum limits are $N=2$ supersymmetric models. Both critical and off-critical models are discussed. The approach we take is to first find lattice models with natural…

High Energy Physics - Theory · Physics 2007-05-23 H. Saleur , N. P. Warner

Supersymmetric (SUSY) optical structures display a number of intriguing properties that can lead to a variety of potential applications, ranging from perfect global phase matching to highly efficient mode conversion and novel multiplexing…

A large sample of low surface brightness (LSB) disk galaxies is selected from SDSS with B-band central surface brightness mu_0(B) from 22 to 24.5 mag arcsec^(-2). Some of their properties are studied, such as magnitudes, surface brightness,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Y. C. Liang , G. H. Zhong , X. Y. Chen , D. Gao , F. Hammer , F. S. Liu , J. Y. Hu , L. C. Deng , B. Zhang

A new Lax equation is introduced for the KP hierarchy which avoids the use of pseudo-differential operators, as used in the Sato approach. This Lax equation is closer to that used in the study of the dispersionless KP hierarchy, and is…

High Energy Physics - Theory · Physics 2009-10-28 I. A. B. Strachan

We analyze the low energy spectrum of bound states of the N=1 SU(2) SUSY Yang-Mills Theory (SYM). This work continues the investigation of the non-perturbative properties of SYM by Monte Carlo simulations in the Wilson discretization with…

High Energy Physics - Lattice · Physics 2007-05-23 Federico Farchioni , Roland Peetz

We study U-DHOST theories, i.e., higher-order scalar-tensor theories which are degenerate only in the unitary gauge and yield an apparently unstable extra mode in a generic coordinate system. We show that the extra mode satisfies a…

General Relativity and Quantum Cosmology · Physics 2021-12-13 Antonio De Felice , Shinji Mukohyama , Kazufumi Takahashi

We investigate supersymmetric tubular configurations in the matrix theory. We construct a host of BPS configurations of eight supersymmetries. They can be regarded as cylindrical D2 branes carrying nonvanishing angular momentum. For the…

High Energy Physics - Theory · Physics 2009-11-07 Dongsu Bak , Kimyeong Lee

Finite-dimensional reductions of the 2D dispersionless Toda hierarchy, constrained by the ``string equation'' are studied. These include solutions determined by polynomial, rational or logarithmic functions, which are of interest in…

Mathematical Physics · Physics 2015-06-26 J. Harnad , I. Loutsenko , O. Yermolayeva

CONTENTS: 1. Synopsis, 2. The MSSM Spectrum, 3. The Physical Parameters, 4. Higgs Boson Production and Decays, 5. SUSY Particle Production and Decays, 6. Experimental Bounds on SUSY Particle Masses, 7. References.

We discuss the properties of three upsilon transforms, which are related to the class of $p$-tempered $\alpha$-stable ($TS^p_\alpha$) distributions. In particular, we characterize their domains and show how they can be represented as…

Probability · Mathematics 2016-01-27 Michael Grabchak

We review exact results in N=2 supersymmetric gauge theories defined on S^4 and its deformation. We first summarize the construction of rigid SUSY theories on curved backgrounds based on off-shell supergravity, then explain how to apply…

High Energy Physics - Theory · Physics 2017-10-25 Kazuo Hosomichi

We develop a pseudo-differential approach to the N=2 supersymmetric unconstrained matrix (k|n,m)-Generalized Nonlinear Schroedinger hierarchies and prove consistency of the corresponding Lax-pair representation (nlin.SI/0201026).…

Exactly Solvable and Integrable Systems · Physics 2008-11-26 F. Delduc , O. Lechtenfeld , A. S. Sorin

We explain how dispersionless integrable hierarchy in 2d topological field theory arises from the Kodaira-Spencer gravity (BCOV theory). The infinitely many commuting Hamiltonians are given by the current observables associated to the…

Mathematical Physics · Physics 2020-08-26 Weiqiang He , Si Li , Xinxing Tang , Philsang Yoo

Here we give detailed derivations and provide additional examples to the main paper: arXiv:0706.0212. In particular, we discuss the scaling behavior of observables like correlation functions and density of excitations. We also analyze…

Statistical Mechanics · Physics 2008-06-03 A. Polkovnikov , V. Gritsev

In this paper, firstly, we study analytically the topological features of a family of hierarchical lattices (HLs) from the view point of complex networks. We derive some basic properties of HLs controlled by a parameter $q$. Our results…

Statistical Mechanics · Physics 2007-05-23 Zhongzhi Zhang , Shuigeng Zhou , Tao Zou

Given a 2-stranded tangle in a $\ZZ/2$ homology ball, $T\subset Y$, we investigate the character variety $R(Y,T)$ of conjugacy classes of traceless SU(2) representations of $\pi_1(Y\setminus T)$. In particular we completely determine the…

Geometric Topology · Mathematics 2016-06-08 Yoshihiro Fukumoto , Paul Kirk , Juanita Pinzón-Caicedo

Lie symmetry algebra of the dispersionless Davey-Stewartson (dDS) system is shown to be infinite-dimensional. The structure of the algebra turns out to be Kac-Moody-Virasoro one, which is typical for integrable evolution equations in…

Exactly Solvable and Integrable Systems · Physics 2021-06-22 Faruk Güngör , Cihangir Özemir

In this article, we review the metastable hierarchy in low-temperature lattice models. In the first part, we state that for any abstract lattice system governed by a Hamiltonian potential and evolving according to a Metropolis-type…

Probability · Mathematics 2025-02-04 Seonwoo Kim

We show systematically the relation between a N = 2 nonlinear supersymmetric (NLSUSY) model and a N = 2 SUSY QED theory by means of the superfield formulation in two dimensional spacetime without imposing a priori any special gauge…

High Energy Physics - Theory · Physics 2009-04-17 Kazunari Shima , Motomu Tsuda
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