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

We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N = 4 supersymmetry. To this end, we derive the low-energy effective action for general SU(2) structure manifolds in type IIA string theory and show its consistency with gauged N = 4 supergravity. Focusing on the special case of Calabi-Yau manifolds with vanishing Euler number, we explain the absence of perturbative corrections at the two-derivative level. In addition, we conjecture that all non-perturbative corrections are governed and constrained by the couplings of N = 4 massive gravitino multiplets.

Section: Spontaneous Breaking Of N = 4 To N =supporting

confidence: 60%

Section: Discussionmentioning

confidence: 99%

Enhanced supersymmetry from vanishing Euler number

Kashani-Poor

Minasian

Triendl

2013

“…A consequence of the second condition in (1.2) is the vanishing of total D3-brane charge, which indeed is a necessary condition for maximal supersymmetry. At this point a string / supergravity puzzle arises since the second condition in (1.2) is not satisfied by the AdS 4 type IIA solutions found in refs [7,12], which we expected to be embeddable in a maximal supergravity theory. Even more, the existence of these AdS 4 solutions is directly related to the non-vanishing of a term in the scalar potential of the form…”

Section: Jhep06(2011)030mentioning

confidence: 94%

“…Surprisingly enough, this turns out to happen for the supersymmetric AdS 4 solutions of these type IIA orientifold models [7] and it has been further extended to the entire set of AdS 4 solutions in ref. [12]. In consequence, one would expect them to actually be solutions of a maximal supergravity theory.…”

Section: Jhep06(2011)030mentioning

confidence: 99%

How to halve maximal supergravity

Dibitetto

Guarino

Roest

2011

Self Cite

We work out the truncation from maximal to half-maximal supergravity in four dimensions. In particular, we determine the explicit constraints on the embedding tensors of both theories. These tensors specify the complete theories, including gauge groups and scalar potentials. Firstly, we find the linear constraint on N = 8 theories to allow for a truncation to N = 4. Secondly, we determine the additional N = 4 quadratic constraints following from N = 8. Finally, we comment on a brane interpretation as tadpole conditions for the latter.

“…The integrated fluxes can be described [51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70] as gaugings of the supergravity theory and, in this section, we derive the corresponding gauge algebra for a generic class of freely-acting (a)symmetric orbifolds. 1 In particular, we will not limit ourselves to orbifolds which are connected to symmetric ones by a chain of T-dualities, but rather consider quite generic cases which may lie in different conjugacy classes of the Tduality group, than the symmetric ones.…”

Section: Freely-acting Orbifolds and Gauged Supergravitymentioning

confidence: 99%

Gauged supergravities and non-geometric Q/R-fluxes from asymmetric orbifold CFT’s

Condeescu

Florakis

Kounnas

et al. 2013

Abstract:We investigate the orbifold limits of string theory compactifications with geometric and non-geometric fluxes. Exploiting the connection between internal fluxes and structure constants of the gaugings in the reduced supergravity theory, we can identify the types of fluxes arising in certain classes of freely-acting symmetric and asymmetric orbifolds. We give a general procedure for deriving the gauge algebra of the effective gauged supergravity using the exact CFT description at the orbifold point. We find that the asymmetry is, in general, related to the presence of non-geometric Q-and R-fluxes. The action of T-duality is studied explicitly on various orbifold models and the resulting transformation of the fluxes is derived. Several explicit examples are provided, including compactifications with geometric fluxes, Q-backgrounds (T-folds) and R-backgrounds. In particular, we present an asymmetric Z 4 × Z 2 orbifold in which all geometric and nongeometric fluxes ω, H, Q, R are turned on simultaneously. We also derive the corresponding flux backgrounds, which are not in general T-dual to geometric ones, and may even simultaneously depend non-trivially on both the coordinates and their winding T-duals.