The quartic effective action of the heterotic string and supersymmetry

BPS action and superpotential for heterotic string compactifications with fluxes

“…The α ′ corrections would have been different, possibly containing different combinations of the three-form field than just the one appearing in R + . Note that the leading higher-order terms in the Riemann curvature in (2.13) do not appear in the characteristic form of the GaussBonnet combination, though this combination may be generated by a vielbein redefinition [68].…”

“…To restore it one has to add new terms both to the supersymmetry rules and to the action. This can be done either order by order in α ′ [66,68], or by directly including all order corrections giving rise to non-linear curvature parameterizations [64,65,67]. An important drawback of both these approaches is the existence of ambiguities in the resulting theories which can only be fixed by the string computations.…”

“…Once such a choice has been made, though, the supersymmetrization of the Bianchi identity (to a given order in the α ′ expansion) imposes a specific form of the associated low-energy equations of motion and action. The equations of motion for the bosonic fields for some of these possible choices and for various α ′ orders have been computed using different approaches [60]- [68]. For the purpose of rewriting the action in terms of squares of the supersymmetry conditions discussed above, we have used the approach presented in [68] and rescaled the various fields according to the conventions of [1].…”

“…The equations of motion for the bosonic fields for some of these possible choices and for various α ′ orders have been computed using different approaches [60]- [68]. For the purpose of rewriting the action in terms of squares of the supersymmetry conditions discussed above, we have used the approach presented in [68] and rescaled the various fields according to the conventions of [1]. In this setup the generalized connections defining the covariantly constant supersymmetry spinor (2.2) and the one used in the H-Bianchi identity (2.14) are different.…”

Higher derivative corrections to eleven dimensional supergravity via local supersymmetry

“…where a tensor ǫ 11 is a completely antisymmetric tensor with 11 indices. For the first part, the supersymmetric counter terms, which are bilinear to the Majorana gravitino, are derived by applying the Noether method with respect to the local supersymmetry [11]- [15]. For the second part, a complete expression for the supersymmetric counter terms is not know yet.…”