Kähler Anomalies in Supergravity and Flux Vacua
نویسندگان
چکیده
We review the subject of Kähler anomalies in gauged supergravity, emphasizing that field equations are inconsistent when the Kähler potential is non-invariant under gauge transformations or when there are elementary Fayet-Iliopoulos couplings. Flux vacua solutions of string theory with gauged U(1) shift symmetries appear to avoid this problem. The covariant Kähler anomalies involve tensors which are composite functions of the scalars as well as the gauge field strength and space-time curvature tensors. Anomaly cancellation conditions will be discussed in a sequel to this paper.
منابع مشابه
Fayet-Iliopoulos Couplings, and Flux Vacua
We review the subject of Kähler anomalies in gauged supergravity, emphasizing that field equations are inconsistent when the Kähler potential is non-invariant under gauge transformations or when there are elementary Fayet-Iliopoulos couplings. Flux vacua solutions of string theory with gauged U(1) shift symmetries appear to avoid this problem. The major new result is that the Kähler anomaly inv...
متن کاملDifferential Equations in Special Kähler Geometry
The structure of differential equations as they appear in special Kähler geometry of N = 2 supergravity and (2, 2) vacua of the heterotic string is summarized. Their use for computing couplings in the low energy effective Lagrangians of string compactifications is outlined. Talk presented at the Workshop on String Theory, April 8–10, 1992, Trieste, Italy CERN-TH.6580/92 July 1992
متن کاملAlgebras and non-geometric flux vacua
In this work we classify the subalgebras satisfied by non-geometric Q-fluxes in type IIB orientifolds on T/(Z2 × Z2) with three moduli (S, T, U). We find that there are five subalgebras compatible with the symmetries, each one leading to a characteristic flux-induced superpotential. Working in the 4-dimensional effective supergravity we obtain families of supersymmetric AdS4 vacua with all modu...
متن کاملde Sitter Vacua from an Anomalous Gauge Symmetry.
We find a new class of metastable de Sitter solutions in compactifications of six-dimensional supergravity motivated by type IIB or heterotic string vacua. Two Fayet-Iliopoulos terms of a local U(1) symmetry are generated by magnetic flux and by the Green-Schwarz term canceling the gauge anomalies, respectively. The interplay between the induced D term, the moduli dependence of the effective ga...
متن کاملFlat BPS Domain Walls on 2d Kähler-Ricci Soliton
In this paper we address several aspects of flat Bogomolnyi-PrasadSommerfeld (BPS) domain walls together with their Lorentz invariant vacua of 4d N = 1 supergravity coupled to a chiral multiplet. The scalar field spans a one-parameter family of 2d Kähler manifolds satisfying a Kähler-Ricci flow equation. We find that BPS equations and the scalar potential deform with respect to the real paramet...
متن کامل