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E ∇4 R4 type invariants and their gradient expansion

2014/11/12 by Guillaume Bossard, Bossard, Guillaume, Valentin Verschinin +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1411.3373

53 pages, minor corrections, published version in JHEP

arxiv created 2015/02/20 · arxiv updated 2015/02/23

Abstract

We analyse the constraints from supersymmetry on ∇4 R4 type corrections to the effective action in N=2 supergravity in eight dimensions. We prove that there are two classes of invariants that descend respectively from type IIA and type IIB supergravity. We determine the first class as d-closed superforms in superspace in eight dimensions, whereas we obtain the second class by dimensional reduction down to four dimensions, in which there is a single class of invariants transforming in the next to minimal unitary representation of E7(7).

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