On integrability of classical superstrings in AdS5 × S5

By L. Alday, G. Arutyunov, A. Tseytlin. 2005

139 citations recorded by the source corpus.

We explore integrability properties of superstring equations of motion in AdS5 × S5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding hamiltonian dynamics on subspace of physical superstring degrees of freedom. We present some explicit results for the corresponding conserved charges by consistently reducing the dynamics to AdS3 × S3 and AdS3 × S1 subsectors containing both bosonic and fermionic fields.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8d939c220f1f550082ac353f42afba432e28daeb

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In Astronomy and Astrophysics

1. S. Frolov
2. G. Arutyunov
3. A. Tseytlin
4. R. Roiban
5. N. Beisert
6. Romuald A. Janik
7. M. Zamaklar
8. L. Alday

In Nuclear and High Energy Physics

1. S. Frolov
2. G. Arutyunov
3. N. Beisert
4. A. Tseytlin
5. Romuald A. Janik
6. R. Roiban
7. M. Zamaklar
8. M. Staudacher

Citations in the corpus

• Green-Schwarz Strings in TsT-transformed backgrounds (2005, background): “However, as was explained in [24], in the algebra su(2, 2|4) the curvature (3.”
• Wrapping interactions and a new source of corrections to the spin-chain/string duality (2005, background): “On the string theory side it is possible to derive integral equations encoding all classical string solutions [8, 26, 10, 11].”
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, background): “8.1 Strong coupling limit 35 8.2 Spinning string limit 35”
• Lax pair for strings in Lunin-Maldacena background (2005, methodology): “The Lax representation for superstring theory in AdS5 × S(5) [36] allows one to derive a system of singular integral equations called string Bethe equations [31, 34] which describes multi-spin string states.”
• Dual superconformal symmetry from AdS5xS5 superstring integrability (2008, background): “(13)For a discussion of integrability of the superstring model with the gauges fixed and the Virasoro constraints imposed, see [32].”
• The AdS 5 ×S 5 superstring worldsheet S matrix and crossing symmetry (2006, background): “One of the most fascinating discoveries in recent years was the unravelling of integrable structures in planar N = 4 SYM [1, 2, 3, 4] and in superstring theory on AdS5 × S(5) [5, 6, 7, 8, 9, 10, 11].”
• Finite-size effects from giant magnons (2006, methodology): “These gauges generalize the standard phase-space light-cone gauge of [44] to a curved background, and have been used to study the dynamics of strings in AdS5 × S5 [20,25,45–49].”
• Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory (2005, background): “One can utilize the integrability to show that the integral equation and the associated spectral curve that classifies classical solutions of the string sigma model (expanded to first two orders in the “fast-string” parameter λ J2 ) is equivalent to the “thermodynamic” (large J) limit of the one- an”
• Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector (2005, unknown): “Contents”