Circular semiclassical string solutions on AdS5×S5

By J. Minahan. 2002

201 citations recorded by the source corpus.

We discuss two semiclassical string solutions on AdS5×S5. In the first case, we consider a multiwrapped circular string pulsating in the radial direction of AdS5, but fixed to a point on the S5. We compute the energy of this motion as a function of a large quantum number n. We identify the string level with mn, where m is the number of string wrappings. Using the AdS/CFT correspondence, we argue that the bare dimension of the corresponding gauge invariant operator is 2n and that its anomalous dimension scales as λ1/4mn, for large n. Next we consider a multiwrapped circular string pulsating on the S5. We compute the energy of this motion as a function of a large quantum number, n where again the string level is given as mn. We find that the dimension of the corresponding operator is 2n(1+f(m2λ/(2n)2)), where f(x) is computible as a series about x=0 and where it is analytic. We also compare this result to the BMN result for large J operators.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a6c0d59e7ef487ccbad3ed369b1663ff23bbb765

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Citations in the corpus

Classical/quantum integrability in AdS/CFT (2004, background): “Nevertheless, following [11], a large number of classical string solutions in AdS5 × S(5) have been constructed [16, 17, 18, 19, 20, 21, 22, 23, 24, 25].”
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”
Spinning strings in AdS(5) x S**5: New integrable system relations (2003, background): “Other surprising examples of a perfect agreement between string energies and scaling dimensions of gauge theory operators include [11] a simple circular string solution with three spins [4] and a pulsating string solution [15].”
Yang-Mills duals for semiclassical strings on AdS5 × S5 (2003, background): “We consider a string that is pulsating between two extremal points on S5, where the string also has center of mass motion along an S3 subspace, giving it angular momentum J. This is a generalization of a case previously considered in [ 10 ].”
Spiky strings and giant magnons on S5 (2006, unknown): “Special cases of this ansatz describe also the spinning rigid strings (β = 0) [11] and pulsating [23] strings (α = 0) [12, 24].”
Algebraic Curve for the SO(6) Sector of AdS/CFT (2004, background): “While X0 can take any value on R, the other coordinates {Xi}mi=1 satisfy a constraint X1 2 + · · ·+Xm2 = 1.”
SPINNING STRINGS AND AdS/CFT DUALITY (2003, methodology): “rotating [14] and oscillating [ 39 ] solutions.”
Gauge-string duality for (non)supersymmetric deformations of N=4 super-Yang–Mills theory (2005, methodology): “The geodesics happen to be described by a 1d integrable Neumann model which is the same as the system describing rotating [7] and pulsating [8] circular strings in S5 part of AdS5 × S5 [9].”
Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, background): “This will not cover the cases of more general string motions (like pulsations [ 51 , 7]) discussed in [34, 35].”
On the rotating and oscillating strings in (AdS3 × S3)ϰ (2014, background): “This fact has been one of the key ingredient in exploring the conjectured AdS/CFT duality [2] because of the fact that in planar limit both sides of the duality, namely the gauge theory and string theory, are more tractable [3], [4], [5], [6], [7].”