# Aspects of N = 4 SYM

@article{Heslop2004AspectsON, title={Aspects of N = 4 SYM}, author={Pauline Heslop and P. S. Howe}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={058} }

The properties of gauge-invariant composite operators and their correlation functions in N = 4 SYM are discussed in the analytic superspace formalism. A complete classification of the different types of operators in the theory is given. Operators can be either protected or unprotected according to whether they do not or do have anomalous dimensions, and the analytic superspace formalism allows one to identify which type a given operator is in a straightforward manner. A simple discussion is… Expand

#### 47 Citations

Operator mixing and three-point functions in N = 4 SYM

- Physics
- 2009

We study the three-point functions between two BPS and one non-BPS local gauge invariant operators in = 4 Super Yang-Mills theory. We show in explicit 1-loop examples that the single trace operator… Expand

N=4 superconformal Ward identities for correlation functions

- Physics
- 2014

In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N = 4 superconformal symmetry in four dimensions. We present a compact form of all… Expand

N=4 superconformal Ward identities for correlation functions

- Physics
- 2014

In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N = 4 superconformal symmetry in four dimensions. We present a compact form of all… Expand

Ward identities for correlation functions

- 2016

In this paper we study the four-point correlation function of the energy–momentum supermultiplet in theories with N = 4 superconformal symmetry in four dimensions. We present a compact form of all… Expand

Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM

- Physics
- 2012

Abstract We study the four-point correlation function of stress-tensor supermultiplets in N = 4 SYM using the method of Lagrangian insertions. We argue that, as a corollary of N = 4 superconformal… Expand

Aspects of superconformal field theories in six dimensions

- Physics
- 2004

We introduce the analytic superspace formalism for six-dimensional (N, 0) superconformal field theories. Concentrating on the (2, 0) theory we write down the Ward identities for correlation functions… Expand

The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability

- Physics, Mathematics
- 2003

Abstract In this work we review recent progress in four-dimensional conformal quantum field theories and scaling dimensions of local operators. Here we consider the example of maximally… Expand

Perturbative correlation functions and scattering amplitudes in planar N=4 supersymmetric Yang-Mills

- Physics
- 2018

In this thesis, we study the integrands of a special four-point correlation function formed of protected half-BPS operators and scattering amplitudes in planar supersymmetric N=4 Yang-Mills.
We… Expand

Surprises from the resolution of operator mixing in SYM

- Physics
- 2004

Abstract We reexamine the problem of operator mixing in N =4 SYM. Particular attention is paid to the correct definition of composite gauge invariant local operators, which is necessary for the… Expand

N=4 superconformal characters and partition functions

- Physics
- 2007

Abstract Character formulae for positive energy unitary representations of the N = 4 superconformal group are obtained through use of reduced Verma modules and Weyl group symmetry. Expansions of… Expand

#### References

SHOWING 1-10 OF 66 REFERENCES

On the logarithmic behaviour in = 4 SYM theory

- Physics
- 1999

We show that the logarithmic behaviour seen in perturbative and non perturbative contributions to Green functions of gauge-invariant composite operators in = 4 SYM with SU(N) gauge group can be… Expand

Quarter BPS operators in N = 4 SYM

- Physics
- 2001

Chiral primary operators annihilated by a quarter of the supercharges are constructed in the four dimensional = 4 Super-Yang-Mills theory with gauge group SU(N). These 1/4-BPS operators share many… Expand

Four-point functions in N = 4 SYM

- Physics
- 2003

A new derivation is given of four-point functions of charge Q chiral primary multiplets in N = 4 supersymmetric Yang-Mills theory. A compact formula, valid for arbitrary Q, is given which is… Expand

Correlation functions and massive Kaluza-Klein modes in the AdS//CFT correspondence

- Physics
- 2003

Abstract We study four-point correlation functions of 1 2 -BPS operators in N =4 SYM which are dual to massive KK modes in AdS5 supergravity. On the field theory side, the procedure of inserting the… Expand

Bonus Symmetry and the Operator Product Expansion of N=4 Super-Yang-Mills

- Physics
- 1999

Abstract The superconformal group of N = 4 super-Yang-Mills has two types of operator representations: short and long. We conjecture that operator product expansions for which at least two of the… Expand

OPEs and 3-point correlators of protected operators in N=4 SYM

- Physics
- 2001

Abstract Two- and three-point correlation functions of arbitrary protected operators are constructed in N =4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are… Expand

The dilatation operator of conformal N=4 super-Yang–Mills theory

- Physics
- 2003

Abstract We argue that existing methods for the perturbative computation of anomalous dimensions and the disentanglement of mixing in N =4 gauge theory can be considerably simplified, systematized… Expand

Operator product expansion of the lowest weight CPOs in N=4 SYM 4 at strong coupling

- Physics
- 2000

Abstract We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators O I ∼ tr (φ (i φ j) ) in N =4 SYM 4 at strong coupling and show that their structure is… Expand

Correlation functions in the CFT(d) / AdS(d+1) correspondence

- Physics
- 1998

Abstract Conformal techniques are applied to the calculation of integrals on AdS d +1 space which define correlators of composite operators in the superconformal field theory on the d -dimensional… Expand

Four-point correlators of BPS operators in N = 4 SYM at order g 4

- Physics
- 2003

We study the large N degeneracy in the structure of the four-point amplitudes of 1 BPS operators of arbitrary weight k in perturbative N = 4 SYM theory. At one loop (order g 2 ) this degeneracy… Expand