SUSY Ward identities, Superamplitudes, and Counterterms
Ward identities of SUSY and R-symmetry relate n-point amplitudes in supersymmetric theories. We review recent work in which theseWard identities are solved in N = 4 SYM and N = 8 supergravity. The solution, valid at both tree and loop level, expresses any N[superscript K]MHV superamplitude in terms...
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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IOP Publishing
2012
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| Online Access: | http://hdl.handle.net/1721.1/70093 https://orcid.org/0000-0001-8408-1941 |
| _version_ | 1826214154168434688 |
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| author | Elvang, Henriette Kiermaier, Michael Freedman, Daniel Z. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Elvang, Henriette Kiermaier, Michael Freedman, Daniel Z. |
| author_sort | Elvang, Henriette |
| collection | MIT |
| description | Ward identities of SUSY and R-symmetry relate n-point amplitudes in supersymmetric theories. We review recent work in which theseWard identities are solved in N = 4 SYM and N = 8 supergravity. The solution, valid at both tree and loop level, expresses any N[superscript K]MHV superamplitude in terms of a basis of ordinary amplitudes. Basis amplitudes are classi ed by semi-standard tableaux of rectangular N-by-K Young diagrams. The SUSY Ward identities also impose constraints on the matrix elements of candidate ultraviolet counterterms in N = 8 supergravity, and they can be studied using superamplitude basis expansions. This leads to a novel and quite comprehensive matrix element approach to counterterms, which we also review. |
| first_indexed | 2024-09-23T16:00:41Z |
| format | Article |
| id | mit-1721.1/70093 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:00:41Z |
| publishDate | 2012 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | mit-1721.1/700932022-09-29T17:39:23Z SUSY Ward identities, Superamplitudes, and Counterterms Elvang, Henriette Kiermaier, Michael Freedman, Daniel Z. Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Mathematics Freedman, Daniel Z. Freedman, Daniel Z. Ward identities of SUSY and R-symmetry relate n-point amplitudes in supersymmetric theories. We review recent work in which theseWard identities are solved in N = 4 SYM and N = 8 supergravity. The solution, valid at both tree and loop level, expresses any N[superscript K]MHV superamplitude in terms of a basis of ordinary amplitudes. Basis amplitudes are classi ed by semi-standard tableaux of rectangular N-by-K Young diagrams. The SUSY Ward identities also impose constraints on the matrix elements of candidate ultraviolet counterterms in N = 8 supergravity, and they can be studied using superamplitude basis expansions. This leads to a novel and quite comprehensive matrix element approach to counterterms, which we also review. National Science Foundation (U.S.) (grant PHY-0967299) United States. Dept. of Energy (cooperative research agreement DE-FG-0205FR41360) National Science Foundation (U.S.) (CAREER Grant PHY-0953232) United States. Dept. of Energy (grant DE-FG02-95ER 40899) United States. Dept. of Energy (grant DE-FG02-90ER40542) National Science Foundation (U.S.) (grant PHY-0756966) 2012-04-20T18:04:54Z 2012-04-20T18:04:54Z 2011-10 2011-07 Article http://purl.org/eprint/type/JournalArticle 1751-8113 1751-8121 http://hdl.handle.net/1721.1/70093 Elvang, Henriette, Daniel Z Freedman, and Michael Kiermaier. “SUSY Ward Identities, Superamplitudes and Counterterms.” Journal of Physics A: Mathematical and Theoretical 44.45 (2011): 454009. Web. 20 Apr. 2012. © 2011 IOP Publishing https://orcid.org/0000-0001-8408-1941 en_US http://dx.doi.org/10.1088/1751-8113/44/45/454009 Journal of Physics A Mathematical and Theoretical Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf IOP Publishing arXiv |
| spellingShingle | Elvang, Henriette Kiermaier, Michael Freedman, Daniel Z. SUSY Ward identities, Superamplitudes, and Counterterms |
| title | SUSY Ward identities, Superamplitudes, and Counterterms |
| title_full | SUSY Ward identities, Superamplitudes, and Counterterms |
| title_fullStr | SUSY Ward identities, Superamplitudes, and Counterterms |
| title_full_unstemmed | SUSY Ward identities, Superamplitudes, and Counterterms |
| title_short | SUSY Ward identities, Superamplitudes, and Counterterms |
| title_sort | susy ward identities superamplitudes and counterterms |
| url | http://hdl.handle.net/1721.1/70093 https://orcid.org/0000-0001-8408-1941 |
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