Type II and heterotic one loop string effective actions in four dimensions

Details Type II and heterotic one loop string effective actions in four dimensions Type II and heterotic one loop string effective actions in four dimensions

2007-03-05

arxiv.org/abs/hep-th/0703026v2

JHEP 0706:052,2007

Physics

High Energy Physics

High Energy Physics - Theory

v2: 22 pages. Discussion on the new R^4 term and extended supergravity has been abridged and improved. Published version

Scientific paper

10.1088/1126-6708/2007/06/052

We analyze the reduction to four dimensions of the R^4 terms which are part of the ten-dimensional string effective actions, both at tree level and one loop. We show that there are two independent combinations of R^4 present, at one loop, in the type IIA four dimensional effective action, which means they both have their origin in M-theory. The d=4 heterotic effective action also has such terms. This contradicts the common belief thathere is only one R^4 term in four-dimensional supergravity theories, given by the square of the Bel-Robinson tensor. In pure N=1 supergravity this new R^4 combination cannot be directly supersymmetrized, but we show that, when coupled to a scalar chiral multiplet (violating the U(1) $R$-symmetry), it emerges in the action after elimination of the auxiliary fields.

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