Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I - High Energy Physics - TheoryReportar como inadecuado




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Abstract: The classification of homogeneous quaternionic manifolds has been done byAlekseevskii, Wolf et al using transitive solvable group of isometries. Thesemanifolds are not generically symmetric, but there is a subset of quaternionicmanifolds that are symmetric and Einstein. A further subset of these manifoldsare the magic square manifolds. We show that all the symmetric quaternionicmanifolds including the magic square can be succinctly classified byconstrained instantons. These instantons are mostly semilocal, and theirconstructions for the magic square can be done from the correspondingSeiberg-Witten curves for certain N = 2 gauge theories that are in general notasymptotically free. Using these, we give possible constructions, such as theclassical moduli space metrics, of constrained instantons with exceptionalglobal symmetries. We also discuss the possibility of realising the Kahlermanifolds in the magic square using other solitonic configurations in thetheory, and point out an interesting new sequence of these manifolds in themagic square.



Autor: Keshav Dasgupta, Veronique Hussin, Alisha Wissanji

Fuente: https://arxiv.org/







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