Algebraic Curve for the SO(6) Sector of AdS/CFT

By N. Beisert, Vladimir Kazakov, Kazuhiro Sakai. 2004

159 citations recorded by the source corpus.

We construct the general algebraic curve of degree four solving the classical sigma model on ℝ×S5. Up to two loops it coincides with the algebraic curve for the dual sector of scalar operators in SYM, also constructed here.

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

View Paper: https://www.semanticscholar.org/paper/b6cf64b099830b978fb4aceba182636af3bedd16

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. K. Zarembo
4. G. Arutyunov
5. N. Beisert
6. M. Staudacher
7. Vladimir Kazakov
8. I. Park

In Nuclear and High Energy Physics

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

In Statistical and Nonlinear Physics

1. S. Frolov
2. G. Arutyunov
3. A. Tseytlin
4. M. Staudacher
5. N. Beisert
6. K. Zarembo
7. Vladimir Kazakov
8. A. Tirziu

Citations in the corpus

• Integrable Hamiltonian for Classical Strings on AdS5 x S5 (2004, background): “This asymptotic expansion perfectly agrees with the one obtained for the string sigma model on AdS3 × S1 by Kazakov and Zarembo [7].”
• The Algebraic Curve of Classical Superstrings on AdS5×S5 (2005, background): “Likewise, the involved group manifolds are considered to be universal coverings.”
• Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings (2005, background): “nerators, but, not surprisingly, also the point x= 0. In the classical limit, g= 0, the x-plane limits to the u-plane. The points at infinity are identified, but the limit at the point zero is singular [11,12]. This feature spoils the relation between u= 0 and the symmetry generators, whereas it is ap”
• Integrability and the AdS3/CFT2 correspondence (2009, unknown): “The set of conjugacy classes (13)Different matrix representations give the same algebraic curve and the same set of integral equations [53].”
• Spinning strings in AdS5 × S5: one-loop correction to energy in SL(2) sector (2005, background): “(5)A complementary approach demonstrating general agreement between the string and gauge theory semiclassical states at the two leading orders in λ is based on directly relating the thermodynamic limit of the Bethe ansatz equations to the integral equation representing the general integrability-base”
• Holographic three-point functions of semiclassical states (2010, methodology): “The periodic solutions of the O(6) sigma-model can be constructed in full generality with the help of integrability methods [38, 39 ].”