Supergravity instantons and the universal hypermultiplet

Abstract

The effective action of N = 2 supersymmetric 5-dimensional supergravity arising from compactifications of M-theory on Calabi-Yau threefolds receives non-perturbative corrections from wrapped Euclidean membranes and fivebranes. These contributions can be interpreted as instanton corrections in the 5 dimensional field theory. Focusing on the universal hypermultiplet, a solution of this type is presented and the instanton action is calculated, generalizing previous results involving membrane instantons.The instanton action is not a sum of membrane and fivebrane contributions: it has the form reminiscent of non-threshold bound states.

Supergravity instantons for hypermultiplets

“…This paper generalizes the analysis of [12] [13] , which focused on the universal hypermultiplet, to an arbitrary number of hypermultiplets. In a nice paper [14], Behrndt et al used the c-map to relate four dimensional black hole solutions to four dimensional instanton solutions, which can be lifted to the five-dimensional solutions of this paper.…”

“…to instantons and in [13] where supergravity instanton solutions carrying more than one charge were analyzed. This paper generalizes the analysis of [12] [13] , which focused on the universal hypermultiplet, to an arbitrary number of hypermultiplets.…”

A stringy test of flux-induced isometry gauging

“…As we mentioned in that section, the rules for performing brane instanton calculations are not well understood. Results for the exact form of instanton corrections to the hypermultiplet metric can be found in the literature [23,24,25,26,27,28,29,30]; they are usually obtained via indirect arguments, or in 4d SUGRA. Our modest goal is to determine whether the contribution to the correlator in an instanton background vanishes or not; hence, any non-vanishing contribution will do.…”

Membrane Instantons and de Sitter Vacua

“…However, in the absence of fivebrane instantons, we explain how to find such an isometry, and moreover we show how the corresponding 1 For work on fivebrane instantons, we refer the reader to [10]. Additional references on hypermultiplet moduli spaces and instantons are [11,12,13,14,15,16,17]. Furthermore a program towards formulating an instanton calculus based on N = 2 supersymmetric actions with Euclidean signature was started in [18,19].…”