Spinning strings in AdS(5) x S**5: New integrable system relations
By G. Arutyunov, Jorge G. Russo, A. Tseytlin. 2003
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A general class of rotating closed string solutions in AdS5 × S 5 is shown to be described by a Neumann-Rosochatius one-dimensional integrable system. The latter represents an oscillator on a sphere or a hyperboloid with an additional “centrifugal” potential. We expect that the reduction of the AdS5 × S 5 sigma model to the Neumann-Rosochatius system should have further generalizations and should be useful for uncovering new relations between integrable structures on two sides of the AdS/CFT duality. We find, in particular, new circular rotating string solutions with two AdS5 and three S 5 spins. As in other recently discussed examples, the leading large-spin correction to the classical energy turns out to be proportional to the square of the string tension or the ’t Hooft coupling λ, suggesting that it can be matched onto the one-loop anomalous dimensions of the corresponding “long” operators on the SYM side of the AdS/CFT duality.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/52bbe16da3e60577a9918caaee22f99a7fa56dea
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Citations in the corpus
- Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector (2005, background): “Perhaps one of the main outcomes of string integrability is that the string sigmamodel admits a rich variety of explicit soliton solutions [9, 10].”
- SPINNING STRINGS AND AdS/CFT DUALITY (2003, methodology): “It is not a priori clear which should be the most general ∗Since the classical energy of multi-spin (say (J1, J2)) solutions reproduces the near-BMN spectrum in the limit J1 ≫ J2 (see (7.36)), computing the 1-loop sigma model correction to the energy would the effectively determine the 1/J (2-loop, ”
- Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain (2004, background): “We are now ready to test the Frolov-Tseytlin proposal beyond the one-loop level, with the help of our long range Bethe ansatz eq.”
- Spiky strings and giant magnons on S5 (2006, neutral): “In [11, 12] a generalized ansatz was proposed which reduces the problem of finding a large class of solutions to that of solving an integrable one-dimensional system – Neumann system, describing an oscillator on a sphere.”
- Pulsating strings on Ads(5) x S(5) (2004, background): “tions are eigenstates to the scaling operator. Semiclassical string configurations which usually go beyond the BMN limit (e.g. by taking both J1 and J2 to be large) have since been studied extensively [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17], and are reviewed in [18]. Studies of the correspond”
- Classical/quantum integrability in non-compact sector of AdS/CFT (2004, methodology): “Here we will find the general finite gap solution of the sigma-model eq. (3.37) and specify it more explicitly for the single cut case which corresponds to the circular string solution of [ 21 ].”
- Classical/quantum integrability in AdS/CFT (2004, methodology): “11) Comparing this solution to the string solutions in [25], we see that this is the same value as the circular string solutions with J3 = 0 and J1 and J2 satisfying J1 + J2 = L mJ1 + (m− n)J2 = 0 (5.”
- Lax pair for strings in Lunin-Maldacena background (2005, methodology): “The equivalence between closed strings in the γ-deformed background and twisted strings in AdS5×S(5) provides an efficient way of finding multi-spin strings on the γ-deformed background by using the known results for the AdS5 × S(5) case [15, 25].”