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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)088 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |