Splitting strings on integrable backgrounds

B. Vicedo

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    Abstract

    Using integrability we reduce the problem of constructing general classical splitting string solutions on R×S3 to a series of Birkhoff factorization problems. 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 σ-model to implicitly 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 with parameters determined by the solutions to Birkhoff factorization problems in an appropriate real form of the loop group of SL2(C).
    Original languageEnglish
    Article number17
    JournalJournal of High Energy Physics (JHEP)
    Volume2011
    Issue number11
    DOIs
    Publication statusPublished - Nov 2011

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