Dynamical evolution in the D1D5 CFT
Abstract It is interesting to ask: how does the radial space direction emerge from the CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle with the gravity duals of two classes of states in the D1D5 CFT. For each class the CFT states are in the untwisted sector, suggestin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2022)107 |
| _version_ | 1797860047394439168 |
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| author | Bin Guo Samir D. Mathur |
| author_facet | Bin Guo Samir D. Mathur |
| author_sort | Bin Guo |
| collection | DOAJ |
| description | Abstract It is interesting to ask: how does the radial space direction emerge from the CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle with the gravity duals of two classes of states in the D1D5 CFT. For each class the CFT states are in the untwisted sector, suggesting that the energy gap should be 1/R y where R y is the radius of the circle on which the D1D5 CFT is compactified. For one class of states, the gravity dual indeed has exactly this gap, while for the other class, the gravity dual has a very deep throat, leading to an energy gap much smaller than 1/R y . We resolve this puzzle by showing that for the latter class of states, perturbing the CFT off its free point leads to the formation of a band structure in the CFT. We also explain why such a band structure does not arise for the first class of states. Thus for the case where a deep throat emerges in the gravity description, the dynamics of falling down this throat is described in the CFT as a sequential ‘hopping’ between states all of which have the same energy at the free point; this hopping amplitude converts an integer spaced spectrum into a closely spaced band of energy levels. |
| first_indexed | 2024-04-09T21:40:33Z |
| format | Article |
| id | doaj.art-bf81e5bd929c4a7e8af86fe872ff030a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:40:33Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bf81e5bd929c4a7e8af86fe872ff030a2023-03-26T11:05:14ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221213610.1007/JHEP12(2022)107Dynamical evolution in the D1D5 CFTBin Guo0Samir D. Mathur1Institut de Physique Théorique, Université Paris-Saclay, CNRS, CEADepartment of Physics, The Ohio State UniversityAbstract It is interesting to ask: how does the radial space direction emerge from the CFT in gauge-gravity duality? In this context we resolve a long-standing puzzle with the gravity duals of two classes of states in the D1D5 CFT. For each class the CFT states are in the untwisted sector, suggesting that the energy gap should be 1/R y where R y is the radius of the circle on which the D1D5 CFT is compactified. For one class of states, the gravity dual indeed has exactly this gap, while for the other class, the gravity dual has a very deep throat, leading to an energy gap much smaller than 1/R y . We resolve this puzzle by showing that for the latter class of states, perturbing the CFT off its free point leads to the formation of a band structure in the CFT. We also explain why such a band structure does not arise for the first class of states. Thus for the case where a deep throat emerges in the gravity description, the dynamics of falling down this throat is described in the CFT as a sequential ‘hopping’ between states all of which have the same energy at the free point; this hopping amplitude converts an integer spaced spectrum into a closely spaced band of energy levels.https://doi.org/10.1007/JHEP12(2022)107AdS-CFT CorrespondenceBlack Holes in String Theory |
| spellingShingle | Bin Guo Samir D. Mathur Dynamical evolution in the D1D5 CFT Journal of High Energy Physics AdS-CFT Correspondence Black Holes in String Theory |
| title | Dynamical evolution in the D1D5 CFT |
| title_full | Dynamical evolution in the D1D5 CFT |
| title_fullStr | Dynamical evolution in the D1D5 CFT |
| title_full_unstemmed | Dynamical evolution in the D1D5 CFT |
| title_short | Dynamical evolution in the D1D5 CFT |
| title_sort | dynamical evolution in the d1d5 cft |
| topic | AdS-CFT Correspondence Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP12(2022)107 |
| work_keys_str_mv | AT binguo dynamicalevolutioninthed1d5cft AT samirdmathur dynamicalevolutioninthed1d5cft |