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Conformal partial waves and the operator product expansion
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Abstract By solving the two variable differential equations which arise from finding the eigenfunctions for the Casimir operator for O ( d ,2) succinct expressions are found for the functions, conformal partial waves, representing the contribution of an operator of arbitrary scale dimension Δ and spin l together with its descendants to conformal four point functions for d =4, recovering old results, and also for d =6. The results are expressed in terms of ordinary hypergeometric functions of variables x , z which are simply related to the usual conformal invariants. An expression for the conformal partial wave amplitude valid for any dimension is also found in terms of a sum over two variable symmetric Jack polynomials which is used to derive relations for the conformal partial waves.
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Cited by
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Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
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Fitzpatrick, A. L., Kaplan, J., & Walters, M. T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep08(2014)145 · Cited by 397
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Kos, F., Poland, D., & Simmons-Duffin, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep11(2014)109 · Cited by 299
Maldacena, J., Simmons-Duffin, D., & Zhiboedov, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep01(2017)013 · Cited by 285
Metadata
- Authors
- Dolan, F. A., & Osborn, H.
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 2004-02
- Volume
- 678
- Issue
- 1-2
- Pages
- 491-507
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W1985985717
- Cited by
- 558
- References
- 0
- FWCI
- 2.16
- Type
- journal article
- Language
- en
- Open access
- green
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