SPINNING STRINGS AND AdS/CFT DUALITY

By A. Tseytlin. 2003

323 citations recorded by the source corpus.

We review a special class of semiclassical string states in AdS_5 x S^5 which have a regular expansion of their energy in integer powers of the ratio of the square of string tension (`t Hooft coupling) and the square of large angular momentum in S^5. They allow one to quantitatively check the AdS/CFT duality in non-supersymmetric sector of states and also help to uncover the role of integrable structures on the two sides of the string theory -- gauge theory duality.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/23d97137ae66c26a02992ee18c97e8f94e6a8f9f

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Citations in the corpus

Pulsating strings on Ads(5) x S(5) (2004, unknown): “yond 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, 18] (see also [19, 20, 21, 22]), and are reviewed in [23]. The observation of [24] that the matrix of anomalous dimensions could be mapped to an integrab”
INTEGRABILITY IN QCD AND BEYOND (2004, background): “d to the presence of supersymmetry [144,145]. However stringy description of this scaling at weak coupling remains unknown and it is doubtful whether such classical string sigma model solutions exist [140]. One should expect instead that ∼ lnSbehavior at weak coupling is driven by the quantum sigma ”
Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory (2004, background): “This action will thus reproduce the expression for the energy of rotating string solutions expanded in powers of λ̃ [7, 12, 13, 8].”
Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain (2004, background): “For a recent, up-to-date review of “spinning strings”, see [22].”
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.”
Classical/quantum integrability in AdS/CFT (2004, background): “(1)A comprehensive review of classical string solutions in AdS5 × S(5) can be found in [26].”
On correlation functions of operators dual to classical spinning string states (2010, background): “Moreover, the coefficient of log |x| should exactly coincide with the energy of the quite different Minkowskian spinning string located near the center of global AdS5 × S5.”
Small deformations of supersymmetric Wilson loops and open spin-chains (2006, methodology): “Now we solve the equations of motion stemming from this action like in [63,64,10, 26], by assuming a periodic ansatz”
Semiclassical Strings and AdS/CFT (2004, background): “7) are found also for more general rigid multispin closed strings [35, 36, 37, 38, 39, 40].”
Large spin limit of AdS5×S5 string theory and low energy expansion of ferromagnetic spin chains (2004, background): “2) In this parametrization string states that carry two angular momenta J1, J2 should be rotating in the two orthogonal planes (X1, X2) and (X3, X4) (see [6, 10] for details).”
Complete spectrum of long operators in N=4 SYM at one loop (2005, result): “Although the proposals turn out not to be applicable in a strict sense — both theories yield different results starting at third order in the effective coupling [29,30] — they have unearthed a striking similarity between gauge theory and string theory [31,32] (see [16, 33 ] for reviews).”
The su(2|2) dynamic S-matrix (2005, background): “Thiswillallow to puttheasym ptotic Bethe equationsconjectured in [13] on a solid footing and hopefully giveusa betterunderstanding oftheasym ptoticBethe ansatzaswellastheintegrablestructuresin gaugetheory in general.”