Flat currents in the classical AdS5 × S5 pure spinor superstring

By B. C. Vallilo. 2003

138 citations recorded by the source corpus.

It is proven that the classical pure spinor superstring in an AdS5 × S5 background has a flat current depending on a continuous parameter. This generalizes the recent result of Bena, et al. for the classical Green-Schwarz superstring.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/da01bd5c3e3ad3da52d84876dccd8e83f33b6def

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In Geometry and Topology

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

In Nuclear and High Energy Physics

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

Citations in the corpus

• The N=4 SYM Integrable Super Spin Chain (2003, unknown): “Pq”
• 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].”
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, background): “Secondly, one might interpret the AdS/CFT correspondence as one important indication of the validity of integrability: The classical world sheet theory, highly non-trivial due to the curved AdS5 × S background, is integrable [82–84] (for the simpler but related case of plane-wave backgrounds see als”
• A relation between approaches to integrability in superconformal Yang-Mills theory (2003, methodology): “A step in this direction has been obtained by showing [20] that analogous non-local symmetries hold in the Berkovits description [21] of AdS5 × S(5).”
• The WZNW model on PSU (1,1|2) (2006, background): “rastically changes the embedding structure of the fermionic singular vectors in 15Additional Yangian symmetries (see [51, 52] for a review) are known to exist in these models, see e.g. [53]. See also [54, 55, 56, 57, 58, 59, 60] for some closely related studies and results. 45 our state space. As in”
• Quantum Consistency of the Superstring in AdS5 ? S5 Background (2004, background): “November 2004 1 e-mail: nberkovi@ift.unesp.br”