Quantizing three-spin string solution in AdS 5 × S 5
By S. Frolov, A. Tseytlin. 2003
281 citations recorded by the source corpus.
As was recently found in hep-th/0304255, there exists a simple non-supersymmetric classical solution describing a closed string rotating in S^5 and located at the center of AdS_5. It is parametrized by the angular momentum J of the center of mass and two equal SO(6) angular momenta J' in the two other orthogonal rotation planes. The dual N=4 SYM operators should be scalar operators in SU(4) representations [0,J-J',2J'] or [J'-J,0,J'+J]. This solution is stable if J' > 3/2 J and for large J + 2 J' its classical energy admits an expansion in positive powers of g_eff = \lambda/(J + 2 J')^2: E= J + 2 J' + g_eff J' + ... . This suggests a possibility of a direct comparison with perturbative SYM results for the corresponding anomalous dimensions in the sector with g_eff << 1, by analogy with the BMN case. We conjecture that all quantum sigma model string corrections are then subleading at large J', so that the classical formula for the energy is effectively exact to all orders in \lambda. It could then be interpolated to weak coupling, representing a prediction for the anomalous dimensions on the SYM side. We test this conjecture by computing the 1-loop superstring sigma model correction to the classical energy.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1201acabe543dbc1ef7ddc4f044e4b3e74ad5e3e
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Citations in the corpus
- Wrapping interactions and a new source of corrections to the spin-chain/string duality (2005, background): “Non-trivial comparisons of gauge theory anomalous dimensions and string state energies can now be carried out in three different regimes: The BMN limit [13], the near BMN limit [14] and the spinning string limit [15].”
- Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, methodology): “fermionic modes (see [3, 4, 24 ] for details).16 Since in (3.5) one has t = κτ, the 1-loop”
- The N=4 SYM Integrable Super Spin Chain (2003, background): “The recent progress with semi-classical approaches on the string side [22, 34, 16] allows for very interesting dynamical comparisons with gauge theory.”
- Quantum corrections to the string Bethe ansatz (2006, methodology): “For the SU(2) case, with k = 2m, we have [24, 25, 18]”
- Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain (2004, background): “The proposal was further elaborated on a large number of explicit examples [14], [15],[16].”
- Yang-Mills duals for semiclassical strings on AdS5 × S5 (2003, background): “This is the same result obtained by Frolov and Tseytlin from the semiclassical string [12, 13 ]!”
- Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors (2003, background): “∗∗ Also at Lebedev Physics Institute, Moscow.”
- Large spin limit of AdS5×S5 string theory and low energy expansion of ferromagnetic spin chains (2004, background): “The reason for this expectation was that for such special solutions all string α′ ∼ 1√ λ corrections might be suppressed in the large J limit (as was explicitly checked for a particular case in [9]; see also [10] for a review).”
- The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, methodology): “Following the work [61], Frolov and Tseytlin proposed a novel possibility for a quantitative comparison of string theory and gauge theory [65, 63], see [76] for a nice review of the subject.”