Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies
Abstract We consider two supersymmetric M5 brane probe solutions in AdS7 × S 4 and one in AdS4 × S 7 that all have the AdS3 × S 3 world-volume geometry. The values of the classical action of the first two M5 probes (with S 3 in AdS7 or in S 4) are related to the leading N 2 parts in the anomaly b-co...
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| Format: | Article |
| Language: | English |
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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)088 |
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| author | M. Beccaria L. Casarin A. A. Tseytlin |
| author_facet | M. Beccaria L. Casarin A. A. Tseytlin |
| author_sort | M. Beccaria |
| collection | DOAJ |
| description | Abstract We consider two supersymmetric M5 brane probe solutions in AdS7 × S 4 and one in AdS4 × S 7 that all have the AdS3 × S 3 world-volume geometry. The values of the classical action of the first two M5 probes (with S 3 in AdS7 or in S 4) are related to the leading N 2 parts in the anomaly b-coefficient in the (2,0) theory corresponding to a spherical surface defect in symmetric or antisymmetric SU(N) representations. We present a detailed computation of the corresponding one-loop M5 brane partition functions finding that they vanish (in a particular regularization). This implies the vanishing of the order N 0 part in the b-anomaly coefficients, in agreement with earlier predictions for their exact values. It remains, however, a puzzle of how to reproduce the non-vanishing order N terms in these coefficients within the semiclassical M5-brane probe setup. |
| format | Article |
| id | doaj-art-9a04e18abe29495e8f607d3fcc34940b |
| 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-9a04e18abe29495e8f607d3fcc34940b2025-02-09T12:07:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115610.1007/JHEP01(2025)088Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomaliesM. Beccaria0L. Casarin1A. A. Tseytlin2Università del Salento, Dipartimento di Matematica e Fisica Ennio De GiorgiInstitut für Theoretische Physik Leibniz Universität HannoverBlackett Laboratory, Imperial CollegeAbstract We consider two supersymmetric M5 brane probe solutions in AdS7 × S 4 and one in AdS4 × S 7 that all have the AdS3 × S 3 world-volume geometry. The values of the classical action of the first two M5 probes (with S 3 in AdS7 or in S 4) are related to the leading N 2 parts in the anomaly b-coefficient in the (2,0) theory corresponding to a spherical surface defect in symmetric or antisymmetric SU(N) representations. We present a detailed computation of the corresponding one-loop M5 brane partition functions finding that they vanish (in a particular regularization). This implies the vanishing of the order N 0 part in the b-anomaly coefficients, in agreement with earlier predictions for their exact values. It remains, however, a puzzle of how to reproduce the non-vanishing order N terms in these coefficients within the semiclassical M5-brane probe setup.https://doi.org/10.1007/JHEP01(2025)088M-TheoryAnomalies in Field and String TheoriesAdS-CFT Correspondence |
| spellingShingle | M. Beccaria L. Casarin A. A. Tseytlin Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies Journal of High Energy Physics M-Theory Anomalies in Field and String Theories AdS-CFT Correspondence |
| title | Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies |
| title_full | Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies |
| title_fullStr | Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies |
| title_full_unstemmed | Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies |
| title_short | Semiclassical quantization of M5 brane probes wrapped on AdS3 × S 3 and defect anomalies |
| title_sort | semiclassical quantization of m5 brane probes wrapped on ads3 s 3 and defect anomalies |
| topic | M-Theory Anomalies in Field and String Theories AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP01(2025)088 |
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