We analyze the moduli space of spontaneously broken N = 8 supergravity theories in 4 dimensions with classical Minkowski vacua. We find that all the known classical vacua, as well as the several new ones we construct here, can be connected by sending some of the moduli to their boundary values. We also show that Cremmer-Scherk-Schwarz models can be viewed as special limits of more general CSO * gaugings, which allow for non-Abelian residual symmetries on the vacuum. Finally, we find that all the classical Minkowski vacua with fully broken supersymmetry found so far are unstable with respect to 1-loop corrections, which drive the effective potential to negative values.arXiv:1307.4389v3 [hep-th]
We construct a simple class of N=2 gauged supergravity theories that admit
metastable de Sitter vacua, generalizing the recent work done in the context of
rigid supersymmetry. The setup involves one hypermultiplet and one vector
multiplet spanning suitably curved quaternionic-Kahler and special-Kahler
geometries, with an Abelian gauging based on a single triholomorphic isometry,
but neither Fayet-Iliopoulos terms nor non-Abelian gauge symmetries. We
construct the most general model of this type and show that in such a situation
the possibility of achieving metastable supersymmetry breaking vacua crucially
depends on the value of the cosmological constant V relative to the gravitino
mass squared m_{3/2}^2 in Planck units. In particular, focusing on de Sitter
vacua with positive V, we show that metastability is only possible when V >=
2.17 m_{3/2}^2. We also derive an upper bound on the lightest scalar mass in
this kind of model relative to the gravitino mass m_{3/2} as a function of the
cosmological constant V, and discuss its physical implications.Comment: 26 pages, 2 figures; v2 minor corrections, some additional comments
and one reference adde
Abstract:We clarify a number of issues on Fayet-Iliopoulos (FI) terms in supergravity, keeping the formalism at a minumum and making use of explicit examples. We explain why, if the U(1) vector is massive everywhere in field space, FI terms are not genuine and can always be redefined away or introduced when they are not present. We formulate a simple anomaly-free model with a genuine FI term, a classically stable de Sitter (dS) vacuum and no global symmetries. We explore the relation between N = 2 and N = 1 FI terms by discussing N = 1 truncations of N = 2 models with classically stable dS vacua.
Recently, several multi-loop conjectures have been proposed for the spin dependence of anomalous dimensions of twist-2 and 3 operators in the sl´¾µ sector of AE SYM. Currently, these conjectures are not proven, although several consistency checks have been performed on their large spin expansion. In this paper, we show how these expansions can be efficiently computed without resorting to any conjecture. To this aim we present in full details a method to expand at large spin the solution of the long-range Baxter equation. We treat the twist-2 and 3 cases at two loops and the twist-3 case at three loops. Several subtleties arise whose resolution leads to a simple algorithm computing the expansion.
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