Multi-spin string solutions in AdS5×S5

By S. Frolov, A. Tseytlin. 2003

423 citations recorded by the source corpus.

Abstract Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical closed string solutions with several angular momenta in different directions of AdS5 and S5. We find a novel solution describing a circular closed string located at a fixed value of AdS5 radius while rotating simultaneously in two planes in AdS5 with equal spins S. This solution is a direct generalization of a two-spin flat-space solution where the string rotates in two orthogonal planes while always lying on a 3-sphere. Similar solution exists for a string rotating in S5: it is parametrized by the angular momentum J of the center of mass and two equal SO(6) angular momenta J2=J3=J′ in the two rotation planes. The remarkably simple case is of J=0 where the energy depends on J′ as E= (2J′) 2 +λ (λ is the string tension or 't Hooft coupling). We discuss interpolation of the E(J′) formula to weak coupling by identifying the gauge theory operator that should be dual to the corresponding semiclassical string state and utilizing existing results for its perturbative anomalous dimension. This opens up a possibility of studying AdS/CFT duality in this new non-BPS sector. We also investigate small fluctuations and stability of these classical solutions and comment on several generalizations.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2aadee5dd85b3c0bd0b2d06915bd81242bcef4c5

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Citations in the corpus

Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, methodology): “it has regular large J or small ˜ λ expansion [ 8 ]”
Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors (2003, background): “Remarkably, the two recent developments on the SYM [2,3,4,5] and the string [6,7] sides have converged to provide such non-trivial tests.”
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”
Spiky strings and giant magnons on S5 (2006, neutral): “J H E P 1 0 ( 2 0 0 6 ) 0 0 2 theory, the string solutions found in [5, 12].”
On three-point correlation functions in the gauge/gravity duality (2010, background): “The simplest example after the point particle is the circular rotating string with two equal spins [ 37 , 38], whose 2-point function was also computed in [34].”
Lax pair for strings in Lunin-Maldacena background (2005, methodology): “ strings in the γ-deformed background and twisted strings in AdS5×S5 provides an eﬃcient way of ﬁnding multi-spin strings on the γ-deformed background by using the known results for the AdS5 ×S5 case [15, 25]. In particular, many circular string solutions of [15, 25] formally satisfy string equation”
Semiclassical relativistic strings in S 5 and long coherent operators in = 4 SYM theory (2004, methodology): “1 Isolating the “fast” angular coordinate α In the case of generic rotating strings it is natural to follow [7, 18, 21] and parametrize the S(5) metric in terms of 3 complex coordinates Zi (i = 1, 2, 3) ds(2) = −dt(2) + dZ∗ i dZi , Z∗ i Zi = 1 , (2.”
Precision spectroscopy of AdS / CFT (2003, background): “Following the suggestion of [9, 10] and extending the earlier breakthrough work of [17, 11, 12] we have shown that in the non-BPS sector of two large charges, as in the near-BPS BMN sector with single large charge [3], the duality between the SYM theory and AdS5 × S string theory relates perturbativ”
Quantizing three-spin string solution in AdS 5 × S 5 (2003, background): “In [3] it was suggested that the corresponding dual N = 4 SYM operators should be of the form tr[(Φ1+ iΦ2) (Φ3+ iΦ4) J ′(Φ5 + iΦ6) J ′ ] + .”
Complete spectrum of long operators in N=4 SYM at one loop (2005, background): “tive comparisons in sectors not protected by supersymmetry, two proposals were made how this problem might be avoided: the plane-wave correspondence by Berenstein, Maldacena and Nastase [23] and the spinning strings proposal by Frolov and Tseytlin [ 26 ] (see [27] and [28] for earlier qualitative an”
Spinning strings at one-loop in AdS(4) x P**3 (2008, background): “We would like to thank F. Alday, G. Arutyunov, N. Beisert, S. Frolov, M. Spradlin, A. Tseytlin and B. Zwiebel for discussions.”
SPINNING STRINGS AND AdS/CFT DUALITY (2003, background): “S 5 [11, 14 , 15, 17, 18, 35] whose energy E has a regular expansion in integer powers”