<i>N</i>= 4 gauged supergravity and a IIB orientifold with fluxes

We give the curvatures of the free differential algebra (FDA) of M-theory compactified to D = 4 on a twisted seven-torus with the 4-form flux switched on. Two formulations are given, depending on whether the 1-form field strengths of the scalar fields (originating from the 3-form gauge fieldÂ (3) ) are included or not in the FDA. We also give the bosonic equations of motion and discuss at length the scalar potential which emerges in this type of compactifications. For flat groups we show the equivalence of this potential with a dual formulation of the theory which has the full E 7(7) symmetry.

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“…The scalar potential of the reduced theory will be obtained in this case by a particular truncation of the original potential [24].…”

Section: Discussionmentioning

confidence: 99%

Curvatures and potential of M–theory inD= 4 with fluxes and twist

D’Auria

Trigiante

Ferrara

2005

J. High Energy Phys.

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“…This gives a term in the potential of the form 14) whereg ind is the induced world-volume metric. In addition there will be corrections due to the shift in warping, found by solving equation (5.6), and due to curvature.…”

Section: Simple Examplesmentioning

confidence: 99%

“…Given the possibly profound implications arising from the study of flux vacua and warped compactifications (a partial list references includes [10][11][12][13][14][15]; useful reviews include [16,17]), it is particularly important to understand the space of such compactifications and their dynamics. While there have been many advances, the inherently greater complexity of these compactifications has left the subject in a significantly more primitive state than that of the traditional Kaluza-Klein compactifications of string/M theory.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of warped compactifications and the shape of the warped landscape

2006

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The dynamics of warped/flux compactifications is studied, including warping effects, providing a firmer footing for investigation of the "landscape." We present a general formula for the four-dimensional potential of warped compactifications in terms of tendimensional quantities. This allows a systematic investigation of moduli-fixing effects and potentials for mobile branes. We provide a necessary criterion, "slope-dominance," for evading "no-go" results for de Sitter vacua. We outline the ten-dimensional derivation of the non-perturbative effects that should accomplish this in KKLT examples, and outline a systematic discussion of their corrections. We show that potentials for mobile branes receive generic contributions inhibiting slow-roll inflation. We give a linearized analysis of general scalar perturbations of warped IIB compactifications, revealing new features for both time independent and dependent moduli, and new aspects of the kinetic part of the four-dimensional effective action. The universal Kahler modulus is found not to be a simple scaling of the internal metric, and a prescription is given for defining holomorphic Kahler moduli, including warping effects. In the presence of mobile branes, this † Email address: giddings@physics.ucsb.edu ‡ Email address: anshuman@physics.ucsb.edu prescription elucidates couplings between bulk and brane fields. Our results are thus relevant to investigations of the existence of de Sitter vacua in string theory, and of their phenomenology, cosmology, and statistics.

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“…The T 0 × T 6 model in the presence of D3-branes, with and without fluxes was constructed in [32,30,31]. The structure of the T 6 ×T 0 model, on the other hand, is somewhat trivial, since there is no room for fluxes to be turned on.…”

Section: 3mentioning

confidence: 99%

“…In these cases, turning on NS-NS and R-R three-form fluxes allows to obtain new string vacua with vanishing vacuum energy, reduced supersymmetry and moduli stabilisation [7,8,9,21,24]. These features can all be understood in terms of an effective gauged supergravity, where certain axion symmetries are gauged [31,30,32]. These are generalised no-scale models [33,34].…”

Section: Introductionmentioning

confidence: 99%

NewD= 4 gauged supergravities from Script N = 4 orientifolds with fluxes

Angelantonj

Ferrara

Trigiante

2003

J. High Energy Phys.

104

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We consider classes of T 6 -orientifolds, where the orientifold projection contains an inversion I 9−p on 9 − p coordinates, transverse to a Dp-brane. In absence of fluxes, the massless sector of these models corresponds to diverse forms of N = 4 supergravity, with six bulk vector multiplets coupled to N = 4 Yang-Mills theory on the branes. They all differ in the choice of the duality symmetry corresponding to different embeddings of SU (1, 1)× SO(6, 6+ n) in Sp(24+ 2n, R), the latter being the full group of duality rotations. Hence, these Lagrangians are not related by local field redefinitions. When fluxes are turned on one can construct new gaugings of N = 4 supergravity, where the twelve bulk vectors gauge some nilpotent algebra which, in turn, depends on the choice of fluxes.

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N= 4 gauged supergravity and a IIB orientifold with fluxes

Cited by 76 publications

References 66 publications

Curvatures and potential of M–theory inD= 4 with fluxes and twist

Curvatures and potential of M–theory inD= 4 with fluxes and twist

Dynamics of warped compactifications and the shape of the warped landscape

NewD= 4 gauged supergravities from Script N = 4 orientifolds with fluxes

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