## 21 Citations

### Ju n 20 08 Fine structure of anomalous dimensions in N = 4 super Yang-Mills theory

- Physics

Anomalous dimensions of high-twist Wilson operators in generic gauge theories occupy a band of width growing logarithmically with their conformal spin. We perform a systematic study of its fine…

### Reciprocity of gauge operators in = 4 SYM

- Mathematics
- 2008

A recently discovered generalized Gribov-Lipatov reciprocity holds for the anomalous dimensions of various twist operators in Script N = 4 SYM. Here, we consider a class of scaling operators that…

### Qcd-like properties of anomalous dimensions in the $$ \mathcal{N} $$=4 supersymmetric Yang-Mills theory

- Mathematics
- 2009

AbstractWe show how closed formulas for the anomalous dimensions of two classes of operators in the $$
\mathcal{N}
$$=4 supersymmetric Yang-Mills theory can be derived either based on numerical…

### QCD properties of twist operators in the = 6 Chern-Simons theory

- Physics
- 2009

We consider twist-1, 2 operators in planar = 6 superconformal Chern-Simons ABJM theory. We derive higher order anomalous dimensions from integrability and test various QCD-inspired predictions known…

### Generalized nonisospectral super integrable hierarchies

- MathematicsMathematical Methods in the Applied Sciences
- 2019

For the Lie superalgebra B(0,1), we choose a set of basis matrices. Then we consider a linear combination of the basis matrices, which is exactly the spectral matrix of the spatial part for the super…

### Reciprocity and integrability in the sl(2) sector of N=4 SYM

- Physics, Mathematics
- 2009

We analyze the higher conserved charges of type IIB superstring on AdS5 x S5 from the perspective of a recently discovered generalized Gribov-Lipatov reciprocity. We provide several evidences that…

### Unified approach to the SU(2) Principal Chiral Field model at Finite Volume

- Physics
- 2010

Typically, the exact ground state energy of integrable models at finite volume can be computed using two main methods: the thermodynamic Bethe ansatz approach and the lattice discretization…

### An integrable generalization of the super Kaup-Newell soliton hierarchy and its bi-Hamiltonian structure

- Physics
- 2017

An integrable generalization of the super Kaup-Newell(KN) isospectral problem is introduced and its corresponding generalized super KN soliton hierarchy are established based on a Lie super-algebra…

### QCD-like properties for anomalous dimensions in N=4 SYM

- Mathematics
- 2008

In this contribution it is shown how closed formulas for anomalous dimensions of two classes of operators in N=4 SYM can be derived, either by investigating the numerics or on the basis of…

## References

SHOWING 1-10 OF 112 REFERENCES

### Three-loop universal anomalous dimension of the Wilson operators in N = 4 SUSY Yang-Mills model

- Physics
- 2004

### Anomalous dimensions of finite size field strength operators in = 4 SYM

- Mathematics
- 2007

In the Script N = 4 super Yang-Mills theory, we consider the higher order anomalous dimensions γL(g) of purely gluonic operators Tr Script FL where Script F is a component of the self-dual field…

### Integrability in Yang-Mills theory on the light cone beyond leading order.

- PhysicsPhysical review letters
- 2005

Two-loop corrections to the dilatation operator are calculated and it is demonstrated that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(N(c)) matter it survives the conformal symmetry breaking and persists in supersymmetric N=1, N=2, and N=4 Yang-Mills theories.

### Superconformal operators in N=4 super-Yang-Mills theory

- Physics, Mathematics
- 2004

We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermultiplet have the same…

### Nesting and dressing

- Mathematics
- 2007

We compute the anomalous dimensions of field strength operators in super Yang–Mills theory (SYM) from an asymptotic nested Bethe ansatz to all-loop order. Starting from the exact solution of the…