Freezing of Moduli by N=2 Dyons
Renata Kallosh, Marina Shmakova, Wing Kai Wong
Abstract
In N=2 ungauged supergravity we have found the most general double-extreme dyonic black holes with arbitrary number nv of constant vector multiplets and nh of constant hypermultiplets. They are double-extreme: 1) supersymmetric with coinciding horizons, 2) the mass for a given set of quantized charges is extremal. The spacetime is of the Reissner-Nordstrom form and the vector multiplet moduli depend on dyon charges. As an example we display nv complex moduli as functions of 2(nv+1) electric and magnetic charges in a model related to a classical Calabi-Yau moduli space. A specific case includes the complex S, T, U moduli depending on 4 electric and 4 magnetic charges of 4 U(1) gauge groups.
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