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|a Elvang, Henriette
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|a Massachusetts Institute of Technology. Center for Theoretical Physics
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Freedman, Daniel Z.
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|a Freedman, Daniel Z.
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|a Freedman, Daniel Z.
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|a Kiermaier, Michael
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|a Solution to the Ward identities for superamplitudes
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|b Springer Science + Business Media B.V.,
|c 2012-06-01T15:49:49Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/70983
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|a Supersymmetry and R-symmetry Ward identities relate on-shell amplitudes in a supersymmetric field theory. We solve these Ward identities for N [superscript K] MHV amplitudes of the maximally supersymmetric =4 and =8 theories. The resulting superamplitude is written in a new, manifestly supersymmetric and [subscript R]-invariant form: it is expressed as a sum of very simple SUSY and SUR -invariant Grassmann polynomials, each multiplied by a "basis amplitude". For N [superscript K] MHV n-point superamplitudes the number of basis amplitudes is equal to the dimension of the irreducible representation of SU(n − 4) corresponding to the rectangular Young diagram with columns and K rows. The linearly independent amplitudes in this algebraic basis may still be functionally related by permutation of momenta. We show how cyclic and reflection symmetries can be used to obtain a smaller functional basis of color-ordered single-trace amplitudes in =4 gauge theory. We also analyze the more significant reduction that occurs in =8 supergravity because gravity amplitudes are not ordered. All results are valid at both tree and loop level.
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|a en_US
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|a Article
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|t Journal of High Energy Physics
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