A Note on Monopole Moduli Spaces
نویسندگان
چکیده
We discuss the structure of the framed moduli space of Bogomolny monopoles for arbitrary symmetry breaking and extend the definition of its stratification to the case of arbitrary compact Lie groups. We show that each stratum is a union of submanifolds for which we conjecture that the natural L metric is hyperKähler. The dimensions of the strata and of these submanifolds are calculated, and it is found that for the latter, the dimension is always a multiple of four.
منابع مشابه
New hyperkähler manifolds by fixing monopoles
The construction of new hyperkähler manifolds by taking the infinite monopole mass limit of certain BPS monopole moduli spaces is considered. The one-parameter family of hyperkähler manifolds due to Dancer is shown to be an example of such manifolds. A new family of fixed monopole spaces is constructed. They are the moduli spaces of four SU4 monopoles, in the infinite mass limit of two of the m...
متن کاملDiscrete Weyl–Heisenberg transforms
Related Articles On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schrödinger equations J. Math. Phys. 47, 063501 (2006) Quaternionic root systems and subgroups of the Aut(F4) J. Math. Phys. 47, 043507 (2006) A note on monopole moduli spaces J. Math. Phys. 44, 3517 (2003) Dirichlet forms and symmetric Markovian semigroups on CCR algebras with respect to quasi-free s...
متن کاملWhat to Expect
We study generalisations to the structure groups U(n) of the familiar (abelian) Seiberg-Witten monopole equations on a four-manifold X and their moduli spaces. For n = 1 one obtains the classical monopole equations. For n > 1 our results indicate that there should not be any non-trivial gauge-theoretical invariants which are obtained by the scheme ‘evaluation of cohomology classes on the fundam...
متن کاملMonopoles in String Theory
A realization of En+1 monopoles in string theory is given. The NS five brane stuck to an Orientifold eight plane is identified as the ’t Hooft Polyakov monopole. Correspondingly, the moduli space of many such NS branes is identified with the moduli space of SU(2) monopoles. These monopoles transform in the spinor representation of an SO(2n) gauge group when n D8 branes are stacked upon the orie...
متن کاملMulti-monopole Moduli Spaces for Su(n) Gauge Group
The moduli space describing the low-energy dynamics of BPS multi-monopoles for several charge configurations is presented. We first prove the conjectured form of the moduli space of n − 1 distinct monopoles in a spontaneously broken SU (n) gauge theory. We further propose the solution where one of the charge components has two units, hence asymptotically corresponds to embeddings of two monopol...
متن کامل