THE HIDDEN SYMMETRIES OF THE ADS5 × S5 SUPERSTRING

By R. Roiban. 2004

459 citations recorded by the source corpus.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c9904b4064f8ad3eff1340226dc8e6f4d1a8c398

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In Nuclear and High Energy Physics

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

Citations in the corpus

• Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings (2005, background): “And indeed it was argued in [7] that superstrings on AdS5 × S(5) are classically integrable.”
• Extended Y-system for the AdS5/CFT4 correspondence (2010, background): “In a parallel way, integrability in superstring theory was discovered at classical level [9], extended to semiclassical and partially to quantum level in [10].”
• Perturbative Gauge Theory as a String Theory in Twistor Space (2003, result): “This result was first found in strong coupling in [71] and has also been found for weak coupling [72].”
• Finite-size effects from giant magnons (2006, background): “However, the insights coming from gauge theory [11]-[14] from semi-classical string quantisation [11, 15][20] as well as from the analysis of classical strings [21]-[26] lead to a conjecture for the form of the dispersion relation and the corresponding S-matrix [27, 28].”
• Superstrings on AdS4 × ℂℙ3 as a coset sigma-model (2008, methodology): “A great advantage of type IIB string theory on AdS5×S(5) is that it admits an alternative description as a coset sigma-model [8] which allows one, in particular, to prove its classical integrability [13].”
• An integrable deformation of the AdS5 × S5 superstring (2014, background): “4) can be written compactly in Lax form, which demonstrates integrability at the classical level [25, 26]:”
• Complete spectrum of long operators in N=4 SYM at one loop (2005, background): “We thank V. Bazhanov, A. Gorsky, L. Lipatov, A. Mikhailov, J. Minahan, R. Roiban, D. Serban, F. Smirnov, A. Sorin, M. Staudacher, A. Tseytlin, P. Wiegmann, A. Zamolodchikov for discussions and useful comments on the manuscript.”
• Generalised integrable λ- and η-deformations and their relation (2015, background): “The two-dimensional σ-model admits a Lax pair formulation from which an infinite tower of conserved quantities can be deduced [3].”
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, background): “This matching might be related to an integrable structure found for free strings on AdS5×S(5) [28].”
• Integrable Hamiltonian for Classical Strings on AdS5 x S5 (2004, background): “In particular, the zero-curvature representation for the Green-Schwarz superstring found in [33] could be of use here.”
• 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].”
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation — towards the gravity/CYBE correspondence (2014, background): “The Z4-grading of this coset ensures the classical integrability [6].”
• Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector (2005, methodology): “Lax representation Integrability of the classical superstring theory on AdS5×S(5) was demonstrated in [6] by means of constructing the Lax (zero-curvature) representation for the superstring equations of motion.”
• The factorized S-matrix of CFT/AdS (2004, background): “First, there were some hints that the relevant classical coset sigma model is integrable [6].”
• Dual superconformal symmetry from AdS5xS5 superstring integrability (2008, background): “One-parameter families of flat currents As was shown in [4], the Z4-grading of the above G/H supercoset allows for the construction of one-parameter families of flat currents.”
• Target space supergeometry of η and λ-deformed strings (2016, background): “A remarkable property of the AdS5×S 5 superstring sigma model is its classical integrability [1], see [2] for a review.”
• Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal (2009, background): “For sure, the discovery of integrability in the classical string theory was a great achievement [4], both from the conceptual and the practical (i.”
• The off-shell symmetry algebra of the light-cone AdS5 × S5 superstring (2006, background): “Moreover the world-sheet theory is a classically integrable model [2], possessing thus an infinite number of (non)local integrals of motion.”
• Spinning strings in AdS5 × S5 and integrable systems (2003, background): “A related problem is to see if and how the integrability of the classical bosonic SO(2,4)×SO(6) sigma model can be extended to the AdS5 × S(5) Green-Schwarz superstring sigma model (for a recent work in this direction addressing integrability of the classical supercoset [26] sigma model see [27]).”