Semiclassical circular strings in AdS_5 and "long" gauge field strength operators

Details Semiclassical circular strings in AdS_5 and "long" gauge field strength operators Semiclassical circular strings in AdS_5 and "long" gauge field strength operators

2005-05-16

arxiv.org/abs/hep-th/0505130v3

Phys.Rev.D71:126008,2005

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures, v2: typos corrected; v3: misprint in eq.(2.15) corrected

Scientific paper

10.1103/PhysRevD.71.126008

We consider circular strings rotating with equal spins S_1=S_2=S in two orthogonal planes in AdS_5 and suggest that they may be dual to "long" gauge theory operators built out of self-dual components of gauge field strength. As was found in hep-th/0404187, the one-loop anomalous dimensions of the such gauge-theory operators are described by an anti-ferromagnetic XXX_1 spin chain and scale linearly with length L>>1. We find that in the case of rigid rotating string both the classical energy E_0 and the 1-loop string correction E_1 depend linearly on the spin S (within the stability region of the solution). This supports the relation between the rigid rotating string and the gauge-theory operator corresponding to the maximal-spin (ferromagnetic) state of the XXX_1 spin chain. The energy of more general rotating and pulsating strings also happens to scale linearly with both the spin and the oscillation number. Such solutions should be dual to other lower-spin states of the spin chain, with the anti-ferromagnetic ground state presumably corresponding to the string pulsating in two planes with no rotation.

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