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arXiv · 1101.1672

The D^{2k} R^4 Invariants of N=8 Supergravity

Daniel Z. Freedman·Erik Tonni
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Abstract

The existence of a linearized SUSY invariant for N=8 supergravity whose gravitational components are usually called R^4 was established long ago by on-shell superspace arguments. Superspace and string theory methods have also established analogous higher dimensional D^{2k} R^4 invariants. However, very little is known about the SUSY completions of these operators which involve other fields of the theory. In this paper we find the detailed component expansion of the linearized R^4 invariant starting from the corresponding superamplitude which generates all component matrix elements of the operator. It is then quite straightforward to extend results to the entire set of D^{2k} R^4 operators.

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Daniel Z. Freedman, Erik Tonni. 2011-01-09. The D^{2k} R^4 Invariants of N=8 Supergravity. https://doi.org/10.1007/jhep04(2011)006

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