Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory
We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for n ≤ 9 in arXiv:0808.0491. We derive an explicit representat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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Springer Science + Business Media B.V.
2011
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| Online Access: | http://hdl.handle.net/1721.1/64689 https://orcid.org/0000-0001-8408-1941 |
| _version_ | 1826206555198980096 |
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| author | Elvang, Henriette Freedman, Daniel Z. Kiermaier, Michael |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Elvang, Henriette Freedman, Daniel Z. Kiermaier, Michael |
| author_sort | Elvang, Henriette |
| collection | MIT |
| description | We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for n ≤ 9 in arXiv:0808.0491. We derive an explicit representation of these superamplitudes in terms of dual conformal cross-ratios. We also show that all the 1-loop ‘box coefficients’ obtained from maximal cuts of N k MHV n-point functions are covariant under dual conformal transformations. |
| first_indexed | 2024-09-23T13:34:28Z |
| format | Article |
| id | mit-1721.1/64689 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:34:28Z |
| publishDate | 2011 |
| publisher | Springer Science + Business Media B.V. |
| record_format | dspace |
| spelling | mit-1721.1/646892022-09-28T14:45:34Z Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory Elvang, Henriette Freedman, Daniel Z. Kiermaier, Michael Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Mathematics Freedman, Daniel Z. Freedman, Daniel Z. Kiermaier, Michael We prove that 1-loop n-point NMHV superamplitudes in N=4 SYM theory are dual conformal covariant for all numbers n of external particles (after regularization and subtraction of IR divergences). This property was previously established for n ≤ 9 in arXiv:0808.0491. We derive an explicit representation of these superamplitudes in terms of dual conformal cross-ratios. We also show that all the 1-loop ‘box coefficients’ obtained from maximal cuts of N k MHV n-point functions are covariant under dual conformal transformations. MIT-France Seed Fund France. Commissariat à l'énergie atomique. Saclay Laboratory Niels Bohr International Academy National Science Foundation (U.S.) (grant PHY-0503584) National Science Foundation (U.S.) (grant PHY-0600465) United States. Dept. of Energy (cooperative research agreement DE-FG0205ER41360) 2011-06-28T15:11:48Z 2011-06-28T15:11:48Z 2010-03 Article http://purl.org/eprint/type/JournalArticle MIT-CTP-4042 http://hdl.handle.net/1721.1/64689 Elvang, Henriette, Freedman, Daniel Z. and Michael Kiermaier. "Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory." Journal of High Energy Physics 2010.3 (2010) : 1-22. https://orcid.org/0000-0001-8408-1941 en_US http://dx.doi.org/10.1007/JHEP03(2010)075 Journal of High Energy Physics Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer Science + Business Media B.V. Prof. Freedman via Michael Noga |
| spellingShingle | Elvang, Henriette Freedman, Daniel Z. Kiermaier, Michael Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory |
| title | Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory |
| title_full | Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory |
| title_fullStr | Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory |
| title_full_unstemmed | Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory |
| title_short | Dual conformal symmetry of 1-loop NMHV amplitudes in N=4 SYM theory |
| title_sort | dual conformal symmetry of 1 loop nmhv amplitudes in n 4 sym theory |
| url | http://hdl.handle.net/1721.1/64689 https://orcid.org/0000-0001-8408-1941 |
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