AdS/CFT unitarity at higher loops: high-energy string scattering
Abstract What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more evidence for this conjecture by studying the Regge...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2020)133 |
| _version_ | 1818347991184965632 |
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| author | David Meltzer |
| author_facet | David Meltzer |
| author_sort | David Meltzer |
| collection | DOAJ |
| description | Abstract What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more evidence for this conjecture by studying the Regge limit in large N , 4d CFTs with single-trace operators of unbounded spin. We show that in the Regge limit, these theories have bulk scattering amplitudes which are consistent with the string theory prediction to all orders in 1/N for large, but finite, coupling. In the language of Regge theory, we show Pomeron exchange naturally exponentiates in the 1/N expansion. To do this, we solve the bootstrap equations at tree-level and then use the Lorentzian inversion formula to find the one-loop correlator in the Regge limit. This is a unitarity method for AdS/CFT which can be repeated iteratively to make all orders statements. We also explain under what conditions the tree-level result exponentiates in the 1/N expansion at arbitrary coupling. Finally, we comment on further inelastic effects and show they give subleading contributions at large coupling. As a consistency check, we recover results from bulk Einstein gravity in the limit where all higher-spin particles decouple. |
| first_indexed | 2024-12-13T17:42:57Z |
| format | Article |
| id | doaj.art-8efb887fbb96469e99b465e63319f179 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T17:42:57Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8efb887fbb96469e99b465e63319f1792022-12-21T23:36:41ZengSpringerOpenJournal of High Energy Physics1029-84792020-05-012020514410.1007/JHEP05(2020)133AdS/CFT unitarity at higher loops: high-energy string scatteringDavid Meltzer0Walter Burke Institute for Theoretical Physics, California Institute of TechnologyAbstract What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more evidence for this conjecture by studying the Regge limit in large N , 4d CFTs with single-trace operators of unbounded spin. We show that in the Regge limit, these theories have bulk scattering amplitudes which are consistent with the string theory prediction to all orders in 1/N for large, but finite, coupling. In the language of Regge theory, we show Pomeron exchange naturally exponentiates in the 1/N expansion. To do this, we solve the bootstrap equations at tree-level and then use the Lorentzian inversion formula to find the one-loop correlator in the Regge limit. This is a unitarity method for AdS/CFT which can be repeated iteratively to make all orders statements. We also explain under what conditions the tree-level result exponentiates in the 1/N expansion at arbitrary coupling. Finally, we comment on further inelastic effects and show they give subleading contributions at large coupling. As a consistency check, we recover results from bulk Einstein gravity in the limit where all higher-spin particles decouple.http://link.springer.com/article/10.1007/JHEP05(2020)1331/N ExpansionAdS-CFT CorrespondenceConformal and W SymmetryConformal Field Theory |
| spellingShingle | David Meltzer AdS/CFT unitarity at higher loops: high-energy string scattering Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
| title | AdS/CFT unitarity at higher loops: high-energy string scattering |
| title_full | AdS/CFT unitarity at higher loops: high-energy string scattering |
| title_fullStr | AdS/CFT unitarity at higher loops: high-energy string scattering |
| title_full_unstemmed | AdS/CFT unitarity at higher loops: high-energy string scattering |
| title_short | AdS/CFT unitarity at higher loops: high-energy string scattering |
| title_sort | ads cft unitarity at higher loops high energy string scattering |
| topic | 1/N Expansion AdS-CFT Correspondence Conformal and W Symmetry Conformal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP05(2020)133 |
| work_keys_str_mv | AT davidmeltzer adscftunitarityathigherloopshighenergystringscattering |