منابع مشابه
Moyal Nahm Equations
Various aspects of the Nahm equations in 3 and 7 dimensions are investigated. The residues of the variables at simple poles in the 7dimensional case form an algebra. A large class of matrix representations of this algebra is constructed. The large N limit of these equations is taken by replacing the commutators by Moyal Brackets, and a set of non trivial solutions in a generalised form of Wigne...
متن کاملSelfdual strings and loop space Nahm equations
We give two independent arguments why the classical membrane fields should be take values in a loop algebra. The first argument comes from how we may construct selfdual strings in the M5 brane from a loop space version of the Nahm equations. The second argument is that there appears to be no infinite set of finite-dimensional Lie algebras (such as su(N) for any N) that satisfies the algebraic s...
متن کاملIntegrable boundary conditions and modified Lax equations
We consider integrable boundary conditions for both discrete and continuum classical integrable models. Local integrals of motion generated by the corresponding “transfer” matrices give rise to time evolution equations for the initial Lax operator. We systematically identify the modified Lax pairs for both discrete and continuum boundary integrable models, depending on the classical r-matrix an...
متن کاملGeometric Langlands And The Equations Of Nahm And Bogomolny
Geometric Langlands duality relates a representation of a simple Lie group G to the cohomology of a certain moduli space associated with the dual group G. In this correspondence, a principal SL2 subgroup of G makes an unexpected appearance. Why this happens can be explained using gauge theory, as we will see in this article, with the help of the equations of Nahm and Bogomolny. (Based on a lect...
متن کاملBoundary conditions for hyperbolic equations or systems
Different types of boundary conditions in industrial numerical simulators involving the discretization of hyperbolic systems are presented. For some of them, one may determine the problem to which the limit of approximate solutions (as the discretization parameters tend to 0) is the unique solution. In turn, this convergence result may suggest other ways to take into account the boundary condit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 1998
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(98)00704-7