The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Carving out the space of 4D CFTs
Open accessAbstract
A bstractWe introduce a new numerical algorithm based on semidefinite programming to efficiently compute bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and $$ \mathcal{N} = 1 $$ superconformal field theories. Using our algorithm, we dramatically improve previous bounds on a number of CFT quantities, particularly for theories with global symmetries. In the case of SO(4) or SU(2) symmetry, our bounds severely constrain models of conformal technicolor. In $$ \mathcal{N} = 1 $$ superconformal theories, we place strong bounds on dim(Φ†Φ), where Φ is a chiral operator. These bounds asymptote to the line dim(Φ†Φ) ≤ 2 dim(Φ) near dim(Φ) ≃ 1, forbidding positive anomalous dimensions in this region. We also place novel upper and lower bounds on OPE coefficients of protected operators in the Φ × Φ OPE. Finally, we find examples of lower bounds on central charges and flavor current two-point functions that scale with the size of global symmetry representations. In the case of $$ \mathcal{N} = 1 $$ theories with an SU(N) flavor symmetry, our bounds on current two-point functions lie within an O(1) factor of the values realized in supersymmetric QCD in the conformal window.
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Cites
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Bounding scalar operator dimensions in 4 D CFT
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Self-citationHolography from conformal field theory
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Cited by
The conformal bootstrap: Theory, numerical techniques, and applications
Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
Self-citationUniversality of long-distance AdS physics from the CFT bootstrap
Fitzpatrick, A. L., Kaplan, J., & Walters, M. T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep08(2014)145 · Cited by 397
Bellazzini, B., Csáki, C., & Serra, J. (2014) · The European Physical Journal C · doi:10.1140/epjc/s10052-014-2766-x · Cited by 322
Bootstrapping mixed correlators in the 3D Ising model
Kos, F., Poland, D., & Simmons-Duffin, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep11(2014)109 · Cited by 299
Self-citationOperator product expansion convergence in conformal field theory
Pappadopulo, D., Rychkov, S., Espin, J., & Rattazzi, R. (2012) · Physical Review D · doi:10.1103/physrevd.86.105043 · Cited by 270
Metadata
- Authors
- Poland, D., Simmons-Duffin, D., & Vichi, A.
- Venue
- Journal of High Energy Physics
- Published
- 2012-05
- Volume
- 2012
- Issue
- 5
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W1980669746
- Cited by
- 270
- References
- 32
- FWCI
- 10.83
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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