The Sen Conjecture for Fundamental Monopoles of Distinct Types G.w. Gibbons
نویسنده
چکیده
I exhibit a middle-dimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen’s S-duality conjecture. I also show that the moduli space has no closed or bound geodesics
منابع مشابه
Duality, Multi-Monopole Dynamics & Quantum Threshold Bound States
Dynamics of supersymmetric monopoles are studied in the low energy approximation. A conjecture for the exact moduli space metric is given for all collections of fundamental monopoles of distinct type, and various partial confirmations of the conjecture are outlined. Upon the quantization of the resulting multi-monopole dynamics in the context of N = 4 supersymmetric Yang-Mills-Higgs theories, o...
متن کامل$L_1$-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures
Chen's biharmonic conjecture is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we consider an advanced version of the conjecture, replacing $Delta$ by its extension, $L_1$-operator ($L_1$-conjecture). The $L_1$-conjecture states that any $L_1$-biharmonic Euclidean hypersurface is 1-minimal. We prove that the $L_1$-conje...
متن کاملMonopoles and the Gibbons-manton Metric
We show that, in the region where monopoles are well separated, the L-metric on the moduli space of n-monopoles is exponentially close to the Tn-invariant hyperkähler metric proposed by Gibbons and Manton. The proof is based on a description of the Gibbons-Manton metric as a metric on a certain moduli space of solutions to Nahm’s equations, and on twistor methods. In particular, we show how the...
متن کاملMonopoles Can be Confined by 0 , 1 or 2 Vortices
There are three types of monopole in gauge theories with fundamental matter and N = 2 supersymmetry broken by a superpotential. There are unconfined 0-monopoles and also 1 and 2-monopoles confined respectively by one or two vortices transforming under distinct components of the unbroken gauge group. If a Fayet-Iliopoulos term is added then there are only 2-monopoles. Monopoles transform in the ...
متن کاملMonopoles Can be Confined by 0 , 1 or 2 Vortices
There are three types of monopole in gauge theories with fundamental matter and N = 2 supersymmetry broken by a superpotential. There are unconfined 0-monopoles and also 1 and 2-monopoles confined respectively by one or two vortices transforming under distinct components of the unbroken gauge group. If a Fayet-Iliopoulos term is added then there are only 2-monopoles. Monopoles transform in the ...
متن کامل