Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks
Abstract One can obtain exact information about Virasoro conformal blocks by analytically continuing the correlators of degenerate operators. We argued in recent work that this technique can be used to explicitly resolve information loss problems in AdS3/CFT2. In this paper we use the technique to p...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2017)167 |
| _version_ | 1818844896002310144 |
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| author | Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li Junpu Wang |
| author_facet | Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li Junpu Wang |
| author_sort | Hongbin Chen |
| collection | DOAJ |
| description | Abstract One can obtain exact information about Virasoro conformal blocks by analytically continuing the correlators of degenerate operators. We argued in recent work that this technique can be used to explicitly resolve information loss problems in AdS3/CFT2. In this paper we use the technique to perform calculations in the small 1/c ∝ G N expansion: (1) we prove the all-orders resummation of logarithmic factors ∝ 1 c log z $$ \propto \frac{1}{c} \log\;z $$ in the Lorentzian regime, demonstrating that 1/c corrections directly shift Lyapunov exponents associated with chaos, as claimed in prior work, (2) we perform another all-orders resummation in the limit of large c with fixed cz, interpolating between the early onset of chaos and late time behavior, (3) we explicitly compute the Virasoro vacuum block to order 1/c 2 and 1/c 3 with external dimensions fixed, corresponding to 2 and 3 loop calculations in AdS3, and (4) we derive the heavy-light vacuum blocks in theories with N $$ \mathcal{N} $$ = 1, 2 superconformal symmetry. |
| first_indexed | 2024-12-19T05:21:02Z |
| format | Article |
| id | doaj.art-7f6597588dc2462893da6f5fa2a19085 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T05:21:02Z |
| publishDate | 2017-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7f6597588dc2462893da6f5fa2a190852022-12-21T20:34:31ZengSpringerOpenJournal of High Energy Physics1029-84792017-03-012017314710.1007/JHEP03(2017)167Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocksHongbin Chen0A. Liam Fitzpatrick1Jared Kaplan2Daliang Li3Junpu Wang4Department of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics, Boston UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityDepartment of Physics and Astronomy, Johns Hopkins UniversityAbstract One can obtain exact information about Virasoro conformal blocks by analytically continuing the correlators of degenerate operators. We argued in recent work that this technique can be used to explicitly resolve information loss problems in AdS3/CFT2. In this paper we use the technique to perform calculations in the small 1/c ∝ G N expansion: (1) we prove the all-orders resummation of logarithmic factors ∝ 1 c log z $$ \propto \frac{1}{c} \log\;z $$ in the Lorentzian regime, demonstrating that 1/c corrections directly shift Lyapunov exponents associated with chaos, as claimed in prior work, (2) we perform another all-orders resummation in the limit of large c with fixed cz, interpolating between the early onset of chaos and late time behavior, (3) we explicitly compute the Virasoro vacuum block to order 1/c 2 and 1/c 3 with external dimensions fixed, corresponding to 2 and 3 loop calculations in AdS3, and (4) we derive the heavy-light vacuum blocks in theories with N $$ \mathcal{N} $$ = 1, 2 superconformal symmetry.http://link.springer.com/article/10.1007/JHEP03(2017)1671/N ExpansionAdS-CFT CorrespondenceConformal and W SymmetryConformal Field Theory |
| spellingShingle | Hongbin Chen A. Liam Fitzpatrick Jared Kaplan Daliang Li Junpu Wang Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
| title | Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks |
| title_full | Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks |
| title_fullStr | Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks |
| title_full_unstemmed | Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks |
| title_short | Degenerate operators and the 1/c expansion: Lorentzian resummations, high order computations, and super-Virasoro blocks |
| title_sort | degenerate operators and the 1 c expansion lorentzian resummations high order computations and super virasoro blocks |
| topic | 1/N Expansion AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP03(2017)167 |
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