Splitting strings on integrable backgrounds

Details Splitting strings on integrable backgrounds Splitting strings on integrable backgrounds

2011-05-19

arxiv.org/abs/1105.3868v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 10 figures

Scientific paper

We use integrability to construct the general classical splitting string solution on R x S^3. Namely, given any incoming string solution satisfying a necessary self-intersection property at some given instant in time, we use the integrability of the worldsheet sigma-model to construct the pair of outgoing strings resulting from a split. The solution for each outgoing string is expressed recursively through a sequence of dressing transformations, the parameters of which are determined by the solutions to Birkhoff factorization problems in an appropriate real form of the loop group of SL(2,C).

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