The su(2|3) dynamic spin chain

By N. Beisert. 2003

221 citations recorded by the source corpus.

Abstract The complete one-loop, planar dilatation operator of the N =4 superconformal gauge theory was recently derived and shown to be integrable. Here, we present further compelling evidence for a generalisation of this integrable structure to higher orders of the coupling constant. For that we consider the su (2|3) subsector and investigate the restrictions imposed on the spin chain Hamiltonian by the symmetry algebra. This allows us to uniquely fix the energy shifts up to the three-loop level and thus prove the correctness of a conjecture in hep-th/0303060 . A novel aspect of this spin chain model is that the higher-loop Hamiltonian, as for N =4 SYM in general, does not preserve the number of spin sites. Yet this dynamic spin chain appears to be integrable.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2d374587e24106d9f5ce28386a1e4bc9dfbbaccb

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

In Nuclear and High Energy Physics

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

Citations in the corpus

• The Bethe ansatz for superconformal Chern-Simons (2008, background): “cted through duality transformations. We also note that OSP(2,2|6) has an SU(2|3) subgroup with a diagram like 1 This is the same diagram one finds for the SU(2|3) subgroup of SU(2,2|4) in N = 4 SYM 4 [23]. For higher loop calculations, one might expect to have the same set of Bethe equations in this”
• Dressing and wrapping (2007, background): “Much evidence was found that integrability is not destroyed by radiative corrections, and that the Bethe ansatz extends to higher loops [6, 7, 8].”
• The analytic Bethe ansatz for a chain with centrally extended symmetry (2006, background): “ng matrix which acts on two or more particles transforming under h. Its structure is based on planar N = 4 SYM, AdS 5 ×S5 string theory or more explicitly on the dynamic spin chain model described in [32]. We shall start with the representation structure when the S-matrix acts on particles and chain”
• The su(2|2) dynamic S-matrix (2005, background): “ interactions of the Hamiltonian become more complex: Their range increases with the looporder [3]. Moreover, thelength ofthe spin chain starts to fluctuate, sites are created or destroyed dynamically [4]. These types of spin chains have not been considered extensively and there is no theoretical fra”
• Algebraic Curve for the SO(6) Sector of AdS/CFT (2004, background): “ves. On the SYM side, such a curve for the quasi-momentum can be built so far only for small ’t Hooft coupling. Its mere existence is due to the perturbative integrability, confirmed up to three-loops [32,25] and hopefully existing for all-loops [26] and even non-perturbatively. On the string sigma m”
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills (2004, methodology): “n diagonalization using this ansatz definitely rules out these potential pitfalls. Let us stress once more that the three-loop disagreement of the 3The calculation of [8] fixes one of the two remaining [9] parameters of the three-loop dilatation operator of [7] which are left undetermined unless one a”
• The Algebraic Curve of Classical Superstrings on AdS5×S5 (2005, background): “Likewise, the involved group manifolds are considered to be universal coverings.”