Broken (super) conformal Ward identities at finite temperature
Abstract When a (super) conformal field theory is placed on a non-trivial manifold, the (super) conformal symmetry is broken. However, it is still possible to derive broken Ward identities for these broken symmetries, which provide additional constraints on the theory. We derive and apply the broken...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2023)186 |
| _version_ | 1797233857565556736 |
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| author | Enrico Marchetto Alessio Miscioscia Elli Pomoni |
| author_facet | Enrico Marchetto Alessio Miscioscia Elli Pomoni |
| author_sort | Enrico Marchetto |
| collection | DOAJ |
| description | Abstract When a (super) conformal field theory is placed on a non-trivial manifold, the (super) conformal symmetry is broken. However, it is still possible to derive broken Ward identities for these broken symmetries, which provide additional constraints on the theory. We derive and apply the broken Ward identities associated with the (super) conformal group on the thermal manifold M β = S β 1 × ℝ d − 1 $$ {\mathcal{M}}_{\beta }={S}_{\beta}^1\times {\mathbb{R}}^{d-1} $$ and M = T 2 × ℝ d − 2 $$ \mathcal{M}={T}^2\times {\mathbb{R}}^{d-2} $$ . The novel constraints not only systematically reproduce known results, including an implicit formulation of the generalized Cardy formula, but also elegantly relate the thermal energy spectrum with the conformal spectrum. |
| first_indexed | 2024-03-08T16:25:01Z |
| format | Article |
| id | doaj.art-d692c2e11da040f0bc6e41564b66ab61 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:22:50Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d692c2e11da040f0bc6e41564b66ab612024-03-31T11:08:21ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231214810.1007/JHEP12(2023)186Broken (super) conformal Ward identities at finite temperatureEnrico Marchetto0Alessio Miscioscia1Elli Pomoni2Mathematical Institute, University of OxfordDeutsches Elektronen-Synchrotron DESYDeutsches Elektronen-Synchrotron DESYAbstract When a (super) conformal field theory is placed on a non-trivial manifold, the (super) conformal symmetry is broken. However, it is still possible to derive broken Ward identities for these broken symmetries, which provide additional constraints on the theory. We derive and apply the broken Ward identities associated with the (super) conformal group on the thermal manifold M β = S β 1 × ℝ d − 1 $$ {\mathcal{M}}_{\beta }={S}_{\beta}^1\times {\mathbb{R}}^{d-1} $$ and M = T 2 × ℝ d − 2 $$ \mathcal{M}={T}^2\times {\mathbb{R}}^{d-2} $$ . The novel constraints not only systematically reproduce known results, including an implicit formulation of the generalized Cardy formula, but also elegantly relate the thermal energy spectrum with the conformal spectrum.https://doi.org/10.1007/JHEP12(2023)186Scale and Conformal SymmetriesSupersymmetry BreakingThermal Field Theory |
| spellingShingle | Enrico Marchetto Alessio Miscioscia Elli Pomoni Broken (super) conformal Ward identities at finite temperature Journal of High Energy Physics Scale and Conformal Symmetries Supersymmetry Breaking Thermal Field Theory |
| title | Broken (super) conformal Ward identities at finite temperature |
| title_full | Broken (super) conformal Ward identities at finite temperature |
| title_fullStr | Broken (super) conformal Ward identities at finite temperature |
| title_full_unstemmed | Broken (super) conformal Ward identities at finite temperature |
| title_short | Broken (super) conformal Ward identities at finite temperature |
| title_sort | broken super conformal ward identities at finite temperature |
| topic | Scale and Conformal Symmetries Supersymmetry Breaking Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP12(2023)186 |
| work_keys_str_mv | AT enricomarchetto brokensuperconformalwardidentitiesatfinitetemperature AT alessiomiscioscia brokensuperconformalwardidentitiesatfinitetemperature AT ellipomoni brokensuperconformalwardidentitiesatfinitetemperature |