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It is shown that the self inductance of a wire loop may be written as a curve integral akin to the Neumann formula for the mutual inductance of two wire loops. The only difference is that contribution...
Abstract: Recent studies of the $AdS_4/CFT_3$ correspondence involve the construction of a peculiar supersymmetric gauge theory on the worldvolume of multiple M2s branes as a boundary field theory. Un...
Abstract: Should nature be supersymmetric, then it will be described by Quantum Supergravity at least in some energy regimes. The currently most advanced description of Quantum Supergravity and beyond...
Abstract: We write the loop equations for the $\beta$ two-matrix model, and we propose a topological recursion algorithm to solve them, order by order in a small parameter. We find that to leading ord...
Loop代数L(Dr)上具有长程相互作用的Toda力学系统进行推广,用一组有序整数对(X,Y)来表示Toda链,构造出Loop代数L(Dr)的LaxPair,并给出了系统在(3,2)Toda链情况下的运动方程和Hamiltonian结构.在此模型中,标准的Toda变量之间和附加的坐标变量之间的泊松括号都非零,部分附加的坐标变量之间的泊松结构构成李代数.
研究Loop代数上的一种Toda系统L=[L,M], 其Lax Pair中的M是反对称矩阵,而L=L++M, L+是准上三角矩阵(包含对角部分), 证明这种系统的Lax方程的求解问题与相关的正则Riemann-Hilbert问题等价. 按此方法, 发现在某些特定的初值条件下系统是可积的. 并给出实例求解这一问题, 得到了精确解.
讨论圆周上的U(1)Higgs模型,构造出了Non-contractableloops,并给出了Sphaleron和多Sphaleron解.
2001Vol.35No.4pp.435-440DOI: Conformal Affine Toda Fields on Loop Algebra: A2(2) Case CHAO Liu and YANG Zhan-Ying Institute of Modern Physics, Northwest University, Xi'a...
2007Vol.47No.6pp.981-986DOI: A New Loop Algebra and Corresponding Computing Formula of Constant γ in Quadratic-Form Identity GUO Fu-Kui and DONG Huan-He School of Inf...
2007Vol.47No.5pp.773-776DOI: Vector Loop Algebra and Its Applications to Tu Hierarchy WANG Yan College of Information Science and Engineering, Shandong University of Sci...
2006Vol.45No.3pp.385-388DOI: A New Loop Algebra and Its Corresponding Multi-component Integrable Hierarchy YAO Yu-Qin and CHEN Deng-Yuan Department of Mathematics, Shang...
2005Vol.44No.6pp.997-1001DOI: A Multi-component Matrix Loop Algebra and Its Application DONG Huan-He and ZHANG Ning Information School, Shandong University of Science an...
2005Vol.43No.3pp.407-412DOI: Generalized Toda Mechanics Associated with Loop Algebra L(Br) YANG Zhan-Ying,1 ZHAO Liu,2 and SHI Kang-Jie1 1 Department of Physics, North...
2005Vol.43No.1pp.1-8DOI: Generalized Toda Mechanics Associated with Loop Algebras L(Cr) and L(Dr) and Their Reductions YANG Zhan-Ying,1 ZHAO Liu,2 LIU Wang-Yun,3and SHI ...

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