Circular Semiclassical String Solutions on AdS_5 x S_5

Abstract

We discuss two semiclassical string solutions on AdS_5\times S_5. In the first case, we consider a multiwrapped circular string pulsating in the radial direction of AdS_5, but fixed to a point on the S_5. 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 λ^{1/4}\sqrt{mn}, for large $n$. Next we consider a multiwrapped circular string pulsating about two opposite poles of the $S_5$. 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(m^2λ/(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.

15 pages, LaTeX;v3 minor error fixed;v4 reference added, sec 4 clarified and expanded slightly; v5 corrected a term in 4.12 and 4.13

References in corpus (17)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• A semi-classical limit of the gauge/string correspondence
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Penrose limits and maximal supersymmetry
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• A new maximally supersymmetric background of IIB superstring theory
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• Aspects of Semiclassical Strings in AdS${}_5$
• Operators with large R charge in N=4 Yang-Mills theory
• Superstring Interactions in a pp-wave Background
• On lightcone string field theory from Super Yang-Mills and holography
• Bits, Matrices and 1/N
• Anomalous dimensions in gauge theories from rotating strings in $Ad{S}_5\times S^5$
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• String Interactions in PP-Waves
• Cubic Interactions in PP-Wave Light Cone String Field Theory

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