Moduli spaces in CFT: bootstrap equation in a perturbative example
Abstract Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the bro...
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| Format: | Article |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)144 |
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| author | Gabriel Cuomo Leonardo Rastelli Adar Sharon |
| author_facet | Gabriel Cuomo Leonardo Rastelli Adar Sharon |
| author_sort | Gabriel Cuomo |
| collection | DOAJ |
| description | Abstract Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. The simplest bootstrap equation arises by expanding a two-point function of local operators in two channels, at short distance using the OPE and at large distance using the EFT in the broken vacuum. We illustrate this equation in what is arguably the simplest perturbative model that exhibits conformal symmetry breaking, namely the real ABC model in d = 4 − ϵ dimensions. We investigate the convergence properties of the bootstrap equation and check explicitly many of the non-trivial relations that it imposes on theory data. |
| format | Article |
| id | doaj-art-4a963ef619f34b07ba86f10003cf43a5 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4a963ef619f34b07ba86f10003cf43a52025-01-05T12:06:19ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214010.1007/JHEP12(2024)144Moduli spaces in CFT: bootstrap equation in a perturbative exampleGabriel Cuomo0Leonardo Rastelli1Adar Sharon2Center for Cosmology and Particle Physics, Department of Physics, New York UniversityC. N. Yang Institute for Theoretical Physics, Stony Brook UniversitySimons Center for Geometry and Physics, SUNYAbstract Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. The simplest bootstrap equation arises by expanding a two-point function of local operators in two channels, at short distance using the OPE and at large distance using the EFT in the broken vacuum. We illustrate this equation in what is arguably the simplest perturbative model that exhibits conformal symmetry breaking, namely the real ABC model in d = 4 − ϵ dimensions. We investigate the convergence properties of the bootstrap equation and check explicitly many of the non-trivial relations that it imposes on theory data.https://doi.org/10.1007/JHEP12(2024)144Scale and Conformal SymmetriesSpontaneous Symmetry BreakingSupersymmetric Effective TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Gabriel Cuomo Leonardo Rastelli Adar Sharon Moduli spaces in CFT: bootstrap equation in a perturbative example Journal of High Energy Physics Scale and Conformal Symmetries Spontaneous Symmetry Breaking Supersymmetric Effective Theories Supersymmetric Gauge Theory |
| title | Moduli spaces in CFT: bootstrap equation in a perturbative example |
| title_full | Moduli spaces in CFT: bootstrap equation in a perturbative example |
| title_fullStr | Moduli spaces in CFT: bootstrap equation in a perturbative example |
| title_full_unstemmed | Moduli spaces in CFT: bootstrap equation in a perturbative example |
| title_short | Moduli spaces in CFT: bootstrap equation in a perturbative example |
| title_sort | moduli spaces in cft bootstrap equation in a perturbative example |
| topic | Scale and Conformal Symmetries Spontaneous Symmetry Breaking Supersymmetric Effective Theories Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2024)144 |
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