Finite N black hole cohomologies
Abstract We study new cohomologies for the BPS operators of the N $$ \mathcal{N} $$ = 4 Yang-Mills theory with SU(3) and SU(4) gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and identify their apparent threshold levels. For SU(3)...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)029 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850101728308887552 |
|---|---|
| author | Jaehyeok Choi Sunjin Choi Seok Kim Jehyun Lee Siyul Lee |
| author_facet | Jaehyeok Choi Sunjin Choi Seok Kim Jehyun Lee Siyul Lee |
| author_sort | Jaehyeok Choi |
| collection | DOAJ |
| description | Abstract We study new cohomologies for the BPS operators of the N $$ \mathcal{N} $$ = 4 Yang-Mills theory with SU(3) and SU(4) gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and identify their apparent threshold levels. For SU(3), we find many towers of states and partial no-hair behaviors. We explicitly construct the threshold cohomology in the SU(3) theory. We study throughout this paper a subsector of the field theory corresponding to the BMN matrix theory. We also argue that the BMN sector exhibits a black hole like entropy growth at large N. |
| format | Article |
| id | doaj-art-a9d99f174c03483ea37ad22aac3b39ae |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a9d99f174c03483ea37ad22aac3b39ae2025-08-20T02:39:55ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214410.1007/JHEP12(2024)029Finite N black hole cohomologiesJaehyeok Choi0Sunjin Choi1Seok Kim2Jehyun Lee3Siyul Lee4Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversitySchool of Physics, Korea Institute for Advanced StudyDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityLeinweber Center for Theoretical Physics, University of MichiganAbstract We study new cohomologies for the BPS operators of the N $$ \mathcal{N} $$ = 4 Yang-Mills theory with SU(3) and SU(4) gauge groups, to better understand the black hole microstates. We first study the index of these black hole operators and identify their apparent threshold levels. For SU(3), we find many towers of states and partial no-hair behaviors. We explicitly construct the threshold cohomology in the SU(3) theory. We study throughout this paper a subsector of the field theory corresponding to the BMN matrix theory. We also argue that the BMN sector exhibits a black hole like entropy growth at large N.https://doi.org/10.1007/JHEP12(2024)029AdS-CFT CorrespondenceSupersymmetric Gauge Theory |
| spellingShingle | Jaehyeok Choi Sunjin Choi Seok Kim Jehyun Lee Siyul Lee Finite N black hole cohomologies Journal of High Energy Physics AdS-CFT Correspondence Supersymmetric Gauge Theory |
| title | Finite N black hole cohomologies |
| title_full | Finite N black hole cohomologies |
| title_fullStr | Finite N black hole cohomologies |
| title_full_unstemmed | Finite N black hole cohomologies |
| title_short | Finite N black hole cohomologies |
| title_sort | finite n black hole cohomologies |
| topic | AdS-CFT Correspondence Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2024)029 |
| work_keys_str_mv | AT jaehyeokchoi finitenblackholecohomologies AT sunjinchoi finitenblackholecohomologies AT seokkim finitenblackholecohomologies AT jehyunlee finitenblackholecohomologies AT siyullee finitenblackholecohomologies |