Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-16
JHEP0602:068,2006
Physics
High Energy Physics
High Energy Physics - Theory
67 pages, no figure, references added, typos corrected
Scientific paper
10.1088/1126-6708/2006/02/068
In this paper we derive higher derivative corrections to the eleven dimensional supergravity by applying the Noether method with respect to the N=1 local supersymmetry. An ansatz for the higher derivative effective action, which includes quartic terms of the Riemann tensor, is parametrized by 132 parameters. Then we show that by the requirement of the local supersymmetry, the higher derivative effective action is essentially described by two parameters. The bosonic parts of these two superinvariants completely match with the known results obtained by the perturbative calculations in the type IIA superstring theory. Since the calculations are long and systematic, we build the computer programming to check the cancellation of the variations under the local supersymmetry. This is an extended version of our previous paper hep-th/0508204.
Hyakutake Yoshifumi
Ogushi Sachiko
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