Aspects of semiclassical strings in AdS5

By Gautam Mandal, Nemani V. Suryanarayana, S. Wadia. 2002

250 citations recorded by the source corpus.

Abstract We find an infinite number of conserved currents and charges in the semiclassical limit λ →∞ of string theory in AdS 5 × S 5 and remark on their relevance to conserved charges in the dual gauge theory. We establish a general procedure of exploring the semiclassical limit by viewing the classical motion as collective motion in the relevant part of the configuration space. We illustrate the procedure for semiclassical expansion around solutions of string theory on AdS 5 ×( S 5 / Z M ).

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

View Paper: https://www.semanticscholar.org/paper/8037c29d2ef500500ea264c8c3e13192792b4789

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. R. Roiban
5. N. Beisert
6. L. Alday
7. J. Maldacena
8. E. Witten

In Nuclear and High Energy Physics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. N. Beisert
5. R. Roiban
6. M. Staudacher
7. L. Alday
8. K. Zarembo

In Statistical and Nonlinear Physics

1. S. Frolov
2. A. Tseytlin
3. G. Arutyunov
4. R. Roiban
5. L. Alday
6. N. Beisert
7. J. Maldacena
8. E. Witten

Citations in the corpus

• The N=4 SYM Integrable Super Spin Chain (2003, unknown): “Pq”
• Classical/quantum integrability in AdS/CFT (2004, background): “On top of this, it has been verified that the superstring sigma-model in AdS5 × S(5) is classically integrable [43, 44].”
• The su(2|3) dynamic spin chain (2003, background): “For instance, the appearance of a flat current in the AdS5×S(5) string sigma model gives rise to a Yangian structure [17] which is related to integrability.”
• Dyonic giant magnons (2006, background): “[1, 2]. For λ ≫ 1, the string sigma-model, which is also classically integrable [ 3 ],”
• The analytic Bethe ansatz for a chain with centrally extended symmetry (2006, background): “(207) P 0(1)017 The analytic Bethe ansatz for a chain with centrally extended su(2|2) symmetry The suspected exact integrability of planar N = 4 super-Yang–Mills (SYM) theory [4, 5], see also [6], and of non-interacting IIB superstring theory on AdS5 × S(5) [7, 8] provides hope that their spectrum c”
• Spinning strings in AdS(5) x S**5: New integrable system relations (2003, background): “More recent AdS/CFT motivated discussions concerning integrability, higher local and non-local charges and Yangian structures of related sigma models are in [23]-[27].”
• Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, background): “(3) The construction of the one (spectral) parameter family of flat currents or the Lax pair which demonstrates the classical integrability of the free string theory in AdS5 × S(5) relies only on the classical string equations of motion [48, 49, 50, 51].”
• Quantum corrections to the string Bethe ansatz (2006, background): “On the string theory side, integrability arises because the classical string sigma model on AdS5 × S5 admits a Lax representation [8, 9].”