Kodaira-Spencer anomalies with Stora-Zumino method
Abstract Holomorphic diffeomorphism anomalies of 2 n-dimensional gravitational theories in Beltrami parametrisation (Kodaira-Spencer anomalies) are computed in the brst framework, using an extension of the Stora-Zumino method. This method, which allows to compute anomalies in a very concise way, mak...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)073 |
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| author | Davide Rovere |
| author_facet | Davide Rovere |
| author_sort | Davide Rovere |
| collection | DOAJ |
| description | Abstract Holomorphic diffeomorphism anomalies of 2 n-dimensional gravitational theories in Beltrami parametrisation (Kodaira-Spencer anomalies) are computed in the brst framework, using an extension of the Stora-Zumino method. This method, which allows to compute anomalies in a very concise way, makes manifest the topological origin of anomalies. They have a clear geometric interpretation, since they are expressed in terms of Chern polynomials and Pontryagin invariants. The key ingredient is the formulation of the brst transformations in terms of polyforms, whose total degree is the sum of the form degree and of the ghost number. This approach simplifies significantly the analysis available in literature and it allows to compute many other solutions. Namely, an anomaly, which was computed using different methods, is proved to be a consistent brst anomaly, thereby supplementing a conclusion in a previous analysis. |
| format | Article |
| id | doaj-art-8f0efad4d6d349ea9f2dcb242ef66acb |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8f0efad4d6d349ea9f2dcb242ef66acb2025-01-19T12:06:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113110.1007/JHEP01(2025)073Kodaira-Spencer anomalies with Stora-Zumino methodDavide Rovere0Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di PadovaAbstract Holomorphic diffeomorphism anomalies of 2 n-dimensional gravitational theories in Beltrami parametrisation (Kodaira-Spencer anomalies) are computed in the brst framework, using an extension of the Stora-Zumino method. This method, which allows to compute anomalies in a very concise way, makes manifest the topological origin of anomalies. They have a clear geometric interpretation, since they are expressed in terms of Chern polynomials and Pontryagin invariants. The key ingredient is the formulation of the brst transformations in terms of polyforms, whose total degree is the sum of the form degree and of the ghost number. This approach simplifies significantly the analysis available in literature and it allows to compute many other solutions. Namely, an anomaly, which was computed using different methods, is proved to be a consistent brst anomaly, thereby supplementing a conclusion in a previous analysis.https://doi.org/10.1007/JHEP01(2025)073Anomalies in Field and String TheoriesBRST QuantizationDifferential and Algebraic GeometryTopological Strings |
| spellingShingle | Davide Rovere Kodaira-Spencer anomalies with Stora-Zumino method Journal of High Energy Physics Anomalies in Field and String Theories BRST Quantization Differential and Algebraic Geometry Topological Strings |
| title | Kodaira-Spencer anomalies with Stora-Zumino method |
| title_full | Kodaira-Spencer anomalies with Stora-Zumino method |
| title_fullStr | Kodaira-Spencer anomalies with Stora-Zumino method |
| title_full_unstemmed | Kodaira-Spencer anomalies with Stora-Zumino method |
| title_short | Kodaira-Spencer anomalies with Stora-Zumino method |
| title_sort | kodaira spencer anomalies with stora zumino method |
| topic | Anomalies in Field and String Theories BRST Quantization Differential and Algebraic Geometry Topological Strings |
| url | https://doi.org/10.1007/JHEP01(2025)073 |
| work_keys_str_mv | AT daviderovere kodairaspenceranomalieswithstorazuminomethod |