Magnetic monopoles over topologically non trivial Riemann Surfaces
نویسندگان
چکیده
An explicit canonical construction of monopole connections on non trivial U(1) bundles over Riemann surfaces of any genus is given. The class of monopole solutions depend on the conformal class of the given Riemann surface and a set of integer weights. The reduction of Seiberg-Witten 4-monopole equations to Riemann surfaces is performed. It is shown then that the monopole connections constructed are solutions to these equations. e-mail: [email protected] , [email protected]
منابع مشابه
اثر برهمکنش اسپین مدار یکنواخت و میدان مغناطیسی یکنواخت بر خواص توپولوژیکی یک نانو سیم یک بعدی کوانتومی
We theoretically demonstrate the interplay of uniform spin-orbit coupling and uniform Zeeman magnetic field on the topological properties of one-dimensional double well nano wire which is known as Su-Schrieffer-Heeger (SSH) model. The system in the absence of Zeeman magnetic field and presence of uniform spin-orbit coupling exhibits topologically trivial/non–trivial insulator depending on the h...
متن کاملTopologically non-trivial configurations in 3-dimensional Yang-Mills theory
Monopoles are expected to play an important role in confining quarks in QCD. In lattice simulations, one usually looks for U(1) monopoles by fixing an Abelian gauge [1]. However it is important to have a gauge invariant way of detecting monopoles in non-Abelian gauge theories. In a recent paper [2] Anishetty, Majumdar and Sharatchandra have given a criterion for characterizing topologically non...
متن کاملOn the Stability of Compactified D=11 Supermembranes
We prove D = 11 supermembrane theories wrapping around in an irreducible way over S1×S1×M9 on the target manifold, have a hamiltonian with strict minima and without infinity dimensional valleys for the bosonic sector. The minima occur at monopole connections of an associated U(1) bundle over topologically non trivial Riemann surfaces of arbitrary genus. Explicit expressions for the minimal conn...
متن کامل1 v 1 2 6 A pr 1 99 9 UFRJ - IF - NCG - 1999 / 2 Connes - Lott model building on the two - sphere
In this work we examine generalized Connes-Lott models, with C ⊕ C as finite algebra, over the two-sphere. The Hilbert space of the continuum spectral triple is taken as the space of sections of a twisted spinor bundle, allowing for nontrivial topological structure (magnetic monopoles). The finitely generated projective module over the full algebra is also taken as topologically non-trivial, wh...
متن کاملSupersymmetric quantum mechanics living on topologically nontrivial Riemann surfaces
Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators H(±) is chosen antilinear. Secondly, both these components of a super-Hamiltonian H are defined along certain topologically nontrivial complex curves r(±)(x) which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the ma...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008