TY - JOUR

T1 - Splitting strings on integrable backgrounds

AU - Vicedo, B.

N1 - Open Access at Springer

PY - 2011/11

Y1 - 2011/11

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=81255144449&partnerID=8YFLogxK

U2 - 10.1007/JHEP11(2011)017

DO - 10.1007/JHEP11(2011)017

M3 - Article

AN - SCOPUS:81255144449

SN - 1126-6708

VL - 2011

JO - Journal of High Energy Physics (JHEP)

JF - Journal of High Energy Physics (JHEP)

IS - 11

M1 - 17

ER -