Hidden Symmetries of the AdS_5 x S^5 Superstring
By I. Bena, J. Polchinski, R. Roiban. 2003
925 citations recorded by the source corpus.
Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the gravity dual are adequate, and one must consider the full string theory in the appropriate background. We suggest that in some nontrivial cases the world sheet theory may be exactly solvable. For the Green-Schwarz superstring on AdS_5 x S^5 we find an infinite set of nonlocal classically conserved charges, of the type that exist in integrable field theories.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/3957d81391cae094c910303cf19c984e398ad3cb
How researchers see this paper
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In Astronomy and Astrophysics
- S. Frolov
- A. Tseytlin
- R. Roiban
- Romuald A. Janik
- G. Arutyunov
- Z. Bajnok
- Tomasz Lukowski
- Esperanza Lopez
In Nuclear and High Energy Physics
Citations in the corpus
- Five loop Konishi from AdS/CFT (2009, background): “…the worldsheet QFT of the superstring in the AdS5 × S5 background is integrable, which was first shown on the classical level in [2], and assuming that integrability also holds on the quantum level (for which there are now many indications), one may use the theory of two-dimensional integrable…”
- INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY (2004, background): “But cA vanishes for certain supergroups, and specifically for that needed in the AdS-CFT correspondence, leading to super-Yangian symmetry in this conformal field theory [5, 85, 86].”
- The Algebraic Curve of Classical Superstrings on AdS5×S5 (2005, neutral): “To represent the coset, we consider a group element g of PSL(4|4,R) and two constant (4|4)× (4|4) matrices6 E1 = ( E 0 0 0 ) , E2 = ( 0 0 0 E ) , (2.1) which break PSL(4|4,R) to Sp(4,R) × Sp(4,R).”
- 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].”