# Conformal partial wave expansions for N=4 chiral four-point functions

## Abstract

The conformal partial wave analysis of four-point functions of 12-BPS operators belonging to the SU(4) [0,p,0] representation is undertaken for p=2,3,4. Using the results of N=4 superconformal Ward identities the contributions from protected short and semi-short multiplets are identified in terms of the free-field theory. In the large N limit, contributions corresponding to long multiplets with twist up to 2p-2 are absent. The anomalous dimensions for twist two singlet multiplets are found to order g{sup 4} and agree with other perturbative calculations. Results for twist four and six are also found.

- Authors:

- Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA (United Kingdom). E-mail: fad20@damtp.cam.ac.uk
- Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA (United Kingdom). E-mail: ho@damtp.cam.ac.uk

- Publication Date:

- OSTI Identifier:
- 20766994

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics (New York); Journal Volume: 321; Journal Issue: 3; Other Information: DOI: 10.1016/j.aop.2005.07.005; PII: S0003-4916(05)00240-X; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; CONFORMAL INVARIANCE; MULTIPLETS; OPERATOR PRODUCT EXPANSION; PARTIAL WAVES; QUANTUM FIELD THEORY; WARD IDENTITY

### Citation Formats

```
Dolan, F.A., and Osborn, H..
```*Conformal partial wave expansions for N=4 chiral four-point functions*. United States: N. p., 2006.
Web. doi:10.1016/j.aop.2005.07.005.

```
Dolan, F.A., & Osborn, H..
```*Conformal partial wave expansions for N=4 chiral four-point functions*. United States. doi:10.1016/j.aop.2005.07.005.

```
Dolan, F.A., and Osborn, H.. Wed .
"Conformal partial wave expansions for N=4 chiral four-point functions". United States.
doi:10.1016/j.aop.2005.07.005.
```

```
@article{osti_20766994,
```

title = {Conformal partial wave expansions for N=4 chiral four-point functions},

author = {Dolan, F.A. and Osborn, H.},

abstractNote = {The conformal partial wave analysis of four-point functions of 12-BPS operators belonging to the SU(4) [0,p,0] representation is undertaken for p=2,3,4. Using the results of N=4 superconformal Ward identities the contributions from protected short and semi-short multiplets are identified in terms of the free-field theory. In the large N limit, contributions corresponding to long multiplets with twist up to 2p-2 are absent. The anomalous dimensions for twist two singlet multiplets are found to order g{sup 4} and agree with other perturbative calculations. Results for twist four and six are also found.},

doi = {10.1016/j.aop.2005.07.005},

journal = {Annals of Physics (New York)},

number = 3,

volume = 321,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}

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