Thermal product formula for shear modes
Abstract We investigate the validity of the thermal product formula proposed in [1], for the shear channel fluctuations of R-charged black branes in AdS5 where the shear mode is coupled with charge diffusion mode at non-zero momentum. When these modes are suitably decoupled, we are able to obtain an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2025)170 |
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| author | Jyotirmoy Bhattacharya Nibedita Padhi Aditya Sharma Sourav Singha |
| author_facet | Jyotirmoy Bhattacharya Nibedita Padhi Aditya Sharma Sourav Singha |
| author_sort | Jyotirmoy Bhattacharya |
| collection | DOAJ |
| description | Abstract We investigate the validity of the thermal product formula proposed in [1], for the shear channel fluctuations of R-charged black branes in AdS5 where the shear mode is coupled with charge diffusion mode at non-zero momentum. When these modes are suitably decoupled, we are able to obtain an exact formula for the two point functions of the boundary current and energy-momentum tensor in terms of the quasinormal modes of this channel. This exact formula is a simple modification of the previous version of the product formula. We also obtain a similar formula for the case involving a boundary global R-symmetry anomaly, when we have a bulk Chern-Simons term which introduces additional couplings in the shear channel. Also based on insights from the quasinormal mode spectrum, we report on an instability as well as the presence of high momentum long-lived modes associated with large values of the anomaly coefficient. |
| format | Article |
| id | doaj-art-d416009e6c574dd495b64de25a23277b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d416009e6c574dd495b64de25a23277b2025-08-24T11:04:37ZengSpringerOpenJournal of High Energy Physics1029-84792025-08-012025813310.1007/JHEP08(2025)170Thermal product formula for shear modesJyotirmoy Bhattacharya0Nibedita Padhi1Aditya Sharma2Sourav Singha3Department of Physics, Indian Institute of Technology KharagpurDepartment of Physics, Indian Institute of Technology KharagpurDepartment of Physics, Indian Institute of Technology KharagpurDepartment of Physics, Indian Institute of Technology KharagpurAbstract We investigate the validity of the thermal product formula proposed in [1], for the shear channel fluctuations of R-charged black branes in AdS5 where the shear mode is coupled with charge diffusion mode at non-zero momentum. When these modes are suitably decoupled, we are able to obtain an exact formula for the two point functions of the boundary current and energy-momentum tensor in terms of the quasinormal modes of this channel. This exact formula is a simple modification of the previous version of the product formula. We also obtain a similar formula for the case involving a boundary global R-symmetry anomaly, when we have a bulk Chern-Simons term which introduces additional couplings in the shear channel. Also based on insights from the quasinormal mode spectrum, we report on an instability as well as the presence of high momentum long-lived modes associated with large values of the anomaly coefficient.https://doi.org/10.1007/JHEP08(2025)170AdS-CFT CorrespondenceHolography and Condensed Matter Physics (AdS/CMT)Black HolesThermal Field Theory |
| spellingShingle | Jyotirmoy Bhattacharya Nibedita Padhi Aditya Sharma Sourav Singha Thermal product formula for shear modes Journal of High Energy Physics AdS-CFT Correspondence Holography and Condensed Matter Physics (AdS/CMT) Black Holes Thermal Field Theory |
| title | Thermal product formula for shear modes |
| title_full | Thermal product formula for shear modes |
| title_fullStr | Thermal product formula for shear modes |
| title_full_unstemmed | Thermal product formula for shear modes |
| title_short | Thermal product formula for shear modes |
| title_sort | thermal product formula for shear modes |
| topic | AdS-CFT Correspondence Holography and Condensed Matter Physics (AdS/CMT) Black Holes Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP08(2025)170 |
| work_keys_str_mv | AT jyotirmoybhattacharya thermalproductformulaforshearmodes AT nibeditapadhi thermalproductformulaforshearmodes AT adityasharma thermalproductformulaforshearmodes AT souravsingha thermalproductformulaforshearmodes |