Abstract
We introduce a manifestly little group covariant on-shell superspace for massive particles in four dimensions using the massive spinor helicity formalism. This enables us to construct massive on-shell superfields and fully utilize on-shell symmetry considerations to derive all possible mathcal{N} = 1 three-particle amplitudes for particles of spin as high as one, as well as some simple amplitudes for particles of any spin. Throughout, the conceptual and computational simplicity of this approach is exhibited.
Highlights
Degrees of freedom that frequently arise in standard field-theoretic methods
E-mail: aidanh@umich.edu, koren@physics.ucsb.edu, ttrott@physics.ucsb.edu Abstract: We introduce a manifestly little group covariant on-shell superspace for massive particles in four dimensions using the massive spinor helicity formalism
Representations of the supersymmetry algebra may be constructed with a structure identical to that of the case with Zi = 0, such multiplets still carry central charge
Summary
The qI,A and their conjugates satisfy the anticommutation relations without a central charge: qiI,A, qi†J,B = −ǫIJ δAB, qiI,A, qiJ,B = 0, qi†I,A, qi†J,B = 0 In such cases, representations of the supersymmetry algebra may be constructed with a structure identical to that of the case with Zi = 0, such multiplets still carry central charge (and this would still appear in relating qiI,A and qi†I,A to QαA and Q†βB for these states). With more complicated configurations of active central charges than the simple case discussed above, for each 1/2-BPS leg there is an SU(N ) R-basis in which the central charge can be rotated into the form Zi,AB ∝ ΩAB In such a basis, the representation of the leg’s supercharges is just as described. The BPS bound follows by requiring that this be non-negative
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