SUSY Ward identities, Superamplitudes, and Counterterms
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Freedman_SUSY Ward (arxiv).pdf
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Author(s) • •
Elvang, Henriette
Kiermaier, Michael
Freedman, Daniel Z.
Date Issued
October 2011
Journal
Journal of Physics A Mathematical and Theoretical
Publisher
IOP Publishing
Citation
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
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1088/1751-8113/44/45/454009