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Title: 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:
 [1];  [2]
  1. Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA (United Kingdom). E-mail: fad20@damtp.cam.ac.uk
  2. 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}
}