Multi-spin string solutions in AdS\(_5\times S^5\)
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Publication:1403479
DOI10.1016/S0550-3213(03)00580-7zbMATH Open1031.81051arXivhep-th/0304255OpenAlexW2951841776MaRDI QIDQ1403479
Author name not available (Why is that?)
Publication date: 1 September 2003
Published in: (Search for Journal in Brave)
Abstract: Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical closed string solutions with several angular momenta in different directions of AdS_5 and S^5. We find a novel solution describing a circular closed string located at a fixed value of AdS_5 radius while rotating simultaneously in two planes in AdS_5 with equal spins S. This solution is a direct generalization of a two-spin flat-space solution where the string rotates in two orthogonal planes while always lying on a 3-sphere. Similar solution exists for a string rotating in S^5: it is parametrized by the angular momentum J of the center of mass and the two equal SO(6) angular momenta J_2=J_3=J' in the two rotation planes. The remarkably simple case is of J=0 where the energy depends on J' as E=[(2J')^2 + {l}]^{1/2} with {l}being the string tension or `t Hooft coupling. We discuss interpolation of the E(J') relation to weak coupling by identifying the N=4 SYM theory operator that should be dual to the corresponding semiclassical string state and utilizing existing results for its perturbative anomalous dimension. This opens up a possibility of studying AdS/CFT duality in this new non-BPS sector. We also investigate stability of these classical solutions under small perturbations and comment on several generalizations.
Full work available at URL: https://arxiv.org/abs/hep-th/0304255
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