Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector

By I. Park, A. Tirziu, A. Tseytlin. 2005

151 citations recorded by the source corpus.

We consider a circular string with spin S in AdS5 wrapped around big circle of S5 and carrying also momentum J. The corresponding N = 4 SYM operator belongs to the SL(2) sector, i.e. has tr(DSZJ)+... structure. The leading large J term in its 1-loop anomalous dimension can be computed using Bethe ansatz for the SL(2) spin chain and was previously found to match the leading term in the classical string energy. The string solution is stable at large J, and the Lagrangian for string fluctuations has constant coefficients, so that the 1-loop string correction to the energy E1 is given simply by the sum of characteristic frequencies. Curiously, we find that the leading term in the zero-mode part of E1 is the same as a 1/J correction to the one-loop anomalous dimension on the gauge theory (spin chain) side that was found in [1]. However, the contribution of non-zero string modes does not vanish. We also discuss the ``fast string'' expansion of the classical string action which coincides with the coherent state action of the SL(2) spin chain at the first order in λ, and extend this expansion to higher orders clarifying the role of the S5 winding number.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/cf2a7dbf9f2a0619ecb0657ff701a259cf77a1de

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. S. Frolov
2. A. Tseytlin
3. R. Roiban
4. Esperanza Lopez
5. R. Hernández
6. M. Staudacher
7. N. Beisert
8. M. Zamaklar

In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. N. Beisert
4. M. Staudacher
5. G. Arutyunov
6. R. Roiban
7. Romuald A. Janik
8. M. Zamaklar

Citations in the corpus

• Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, methodology): “Note that since the metric and B2-field have regular expansion in powers of γ̃ and σ̃, the same is true for the classical string action, with the zero-order term being the AdS5 × S5 bosonic sigma model with the S5 part being∫ ∑3 i=1[(∂ρi) 2 + ρ2i (∂φi) 2].”
• Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, background): “As was found in [26] on the examples of circular solutions in SL(2) [41] and SU(2) [40] sectors(11) the non-analytic λ correction in the string 1-loop energy should universally account for the difference between the string and gauge predictions for the coefficient of the λ(3) term, corresponding to ”
• Quantum corrections to the string Bethe ansatz (2006, background): “For the general SL(2) case, we have the following more involved expressions [26]”
• Dressing and wrapping (2007, background): “AdS5 and S5 as well as winding numbers, and whose classical [37] and one-loop [ 38 ]”
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, background): “Moreover, for a number of explicit solutions quantum fluctuation expansions about them have been performed [22].”
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, methodology): “In section 2 we discuss, following closely the model of AdS5×S(5) [27, 28], the structure of the classical circular string solution in AdS4 × CP(3).”