Landscape of nonsupersymmetric AdS vacua on coset manifolds

Abstract:We argue that M-theory/massive IIA backgrounds including KK-monopoles are suitably described in the language of G-structures and their intrinsic torsion. To this end, we study classes of minimal supergravity models that admit an interpretation as twisted reductions in which the twist parameters are not restricted to satisfy the Jacobi constraints ω ω = 0 required by an ordinary Scherk-Schwarz reduction. We first derive the correspondence between four-dimensional data and torsion classes of the internal space and, then, check the one-to-one correspondence between higher-dimensional and four-dimensional equations of motion. Remarkably, the whole construction holds regardless of the Jacobi constraints, thus shedding light upon the string/M-theory interpretation of (smeared) KK-monopoles.

“…This is then compatible with a four-dimensional action of the form 10) which results in the appearance of a scalar potential due to the internal geometry of the form…”

Section: Ricci Scalar and Scalar Potentialmentioning

confidence: 61%

Section: Jhep02(2015)096mentioning

confidence: 99%

KK-monopoles and G-structures in M-theory/type IIA reductions

Danielsson

Dibitetto

Guarino

2015

“…The marginal cases arises when the D4 brane wraps a supersymmetric cycle. Since supersymmetry is broken one expects that corrections to the approximation we are working in will result in the marginal case becoming either allowed or disallowed 19 . We will incorporate some of these corrections in the following discussion and also comment on which cases remain marginal after including some of these corrections further below.…”

Section: Decays In the Orbifold Limitmentioning

confidence: 99%

“…Early papers on IIA compactifications include [10] which developed the 4D framework, and [11], [12], which discuss Moduli stabilization. Also see, [13], [14], [17], [18], [19]. A recent discussion on non-perturbative decays, especially decays of Minkowski nearly susy vacua to AdS space and related topics, is in [15].…”

Section: Introductionmentioning

confidence: 99%

On the stability of non-supersymmetric AdS vacua

Narayan

Trivedi

2010

We consider two infinite families of Non-Supersymmetric AdS 4 vacua, called Type 2) and Type 3) vacua, that arise in massive IIA supergravity with flux. We show that both families are perturbatively stable. We then examine nonperturbative decays of these vacua to other supersymmetric and non-supersymmetric AdS 4 vacua mediated by instantons in the thin wall approximation. We find that many decays are ruled out since the tension of the interpolating domain wall is too big compared to the energy difference in AdS units. In fact, within our approximations no decays of Type 2) vacua are allowed, although some decays are only marginally forbidden. This can be understood in terms of a "pairing symmetry" in the landscape which relate Type 2) vacua with supersymmetric ones of the same energy.

“…13 It would be interesting to understand the (dis-)similarities with the non-supersymmetric vacua in refs [45,46].…”

Section: Full Vacua Analysis Of the N = 4 Theorymentioning

confidence: 99%

Charting the landscape of $ \mathcal{N} = 4 $ flux compactifications

Dibitetto

Guarino

Roest

2011

213

We analyse the vacuum structure of isotropic Z 2 × Z 2 flux compactifications, allowing for a single set of sources. Combining algebraic geometry with supergravity techniques, we are able to classify all vacua for both type IIA and IIB backgrounds with arbitrary gauge and geometric fluxes. Surprisingly, geometric IIA compactifications lead to a unique theory with four different vacua. In this case we also perform the general analysis allowing for sources compatible with minimal supersymmetry. Moreover, some relevant examples of type IIB non-geometric compactifications are studied. The computation of the full N = 4 mass spectrum reveals the presence of a number of non-supersymmetric and nevertheless stable AdS 4 vacua. In addition we find a novel dS 4 solution based on a non-semisimple gauging.