SUSY Ward identities, Superamplitudes, and Counterterms

• Main Authors: Elvang, Henriette (Author), Kiermaier, Michael (Author), Freedman, Daniel Z. (Contributor)
• Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Department of Mathematics (Contributor)
• Format: Article
• Language: English
• Published: IOP Publishing, 2012-04-20T18:04:54Z.
• Subjects: Article
• Online Access: Get fulltext

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)