Abstract
We study vacua of N = 4 half-maximal gauged supergravity in five dimensions and determine crucial properties of the effective theory around the vacuum. The main focus is on configurations with exactly two broken supersymmetries, since they frequently appear in consistent truncations of string theory and supergravity. Evaluating one-loop corrections to the Chern-Simons terms we find necessary conditions to ensure that a consistent truncation also gives rise to a proper effective action of an underlying more fundamental theory. To obtain concrete examples, we determine the N=4 action of M-theory on six-dimensional SU(2)-structure manifolds with background fluxes. Calabi-Yau threefolds with vanishing Euler number are examples of SU(2)-structure manifolds that yield N=2 Minkowski vacua. We find that that one-loop corrections to the Chern-Simons terms vanish trivially and thus do not impose constraints on identifying effective theories. This result is traced back to the absence of isometries on these geometries. Examples with isometries arise from type IIB supergravity on squashed Sasaki-Einstein manifolds. In this case the one-loop gauge Chern-Simons terms vanish due to non-trivial cancellations, while the one-loop gravitational Chern-Simons terms are non-zero.
Highlights
In principle for a general compactification of some higher dimensional theory on a compact manifold one has to include all massive and massless modes in the derivation of the effective action
Since the Chern-Simons terms in the genuine effective action of M-theory on a smooth Calabi-Yau threefold are not corrected by integrating out massive modes [17,18,19], we demand that one-loop ChernSimons terms should be absent in the effective action of a consistent truncation
As consistent truncations of non-Calabi-Yau reductions are exploited for phenomenological investigations, it is a crucial task to provide necessary conditions for them to yield valid effective actions upon integrating out massive modes
Summary
To simplify our notation we introduce contractions of the embedding tensor with the coset representatives ξmn := VM mVN n ξMN , ξab := VM aVN b ξMN , ξam := VM aVN m ξMN , 5As long as ξM vanishes, we do not have to introduce a tensorial counterpart Bμ0ν for A0μ Note that these objects are field-dependent and acquire a VEV in the vacuum. The precise form of the covariant derivative is of no importance in this paper, since we will derive only the charges of the bosons in the vacuum and infer the remaining ones by supersymmetry This concludes our discussion of the general properties N = 4 gauged supergravity in five dimensions
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
