ARE THERE ANY NEW VACUA OF GAUGED ${\mathcal N}=8$ SUPERGRAVITY IN FOUR DIMENSIONS?

Ahn, Changhyun; Woo, Kyungsung

doi:10.1142/s0217751x10048251

Cited by 11 publications

(31 citation statements)

References 39 publications

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“…See [4] for the N = 2 special geometry of the model, in unitary gauge for the scalar coset. Superpotentials have previously appeared, also in unitary gauge, in [8,36].…”

Section: )mentioning

confidence: 99%

Embedding the SU(3) sector of SO(8) supergravity in D=11

2019

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The SU(3)-invariant sector of maximal supergravity in four dimensions with an SO(8) gauging is uplifted to D = 11 supergravity. In order to do this, the SU(3)-neutral sector of the tensor and duality hierarchies of the D = 4 N = 8 supergravity is first worked out. The consistent D = 11 embedding of the full, dynamical SU(3) sector is then expressed at the level of the D = 11 metric and three-form gauge field in terms of these D = 4 tensors. The redundancies introduced by this approach are eliminated at the level of the D = 11 four-form field strength by making use of the D = 4 duality hierarchy. Our results encompass previously known truncations of D = 11 supergravity down to sectors of SO(8) supergravity with symmetry larger than SU(3), and include new ones. In particular, we obtain a new consistent truncation of D = 11 supergravity to minimal D = 4 N = 2 gauged supergravity. The SU(3)-invariant sector of SO(8) supergravityLet us start by reviewing some aspects of the SU(3) sector of SO(8)-gauged supergravity. We choose a triangular, or Iwasawa, parametrisation for the (SU(3)-invariant truncation of the) E 7(7) /SU(8) coset representative. Since previous literature often chooses the unitary gauge for the coset, we believe that our presentation has some intrinsic value even if the material that is covered (the Lagrangian in section 2.1, the further subsectors in 2.3, and the vacuum structure in 2.4) is mostly review. The SU(3)-invariant, restricted tensor and duality hierarchies worked out in section 2.2 are new.

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“…See [4] for the N = 2 special geometry of the model, in unitary gauge for the scalar coset. Superpotentials have previously appeared, also in unitary gauge, in [8,36].…”

Section: )mentioning

confidence: 99%

Embedding the SU(3) sector of SO(8) supergravity in D=11

2019

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“…Readers are referred to e.g. Table 1 in [30] for a list of supersymmetric and non-supersymmetric vacua. We easily see from the data there, that the ratio of the cosmological constants between the SU (3) × U (1) vacuum and the trivial vacuum is 27/16.…”

Section: Review Of Mabjm Theory and Its Gravity Dualmentioning

confidence: 99%

A perturbative study of holographic mABJM theory

Kim

2019

Physics Letters B

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Recently the calculation of holographic free energy for mass-deformed ABJM model (mABJM) with N = 2 supersymmetry and SU (3) × U (1) global symmetry was tackled by Bobev et al. [1]. We solve the associated BPS equations, requiring IR regularity, using a perturbative method proposed by one of us in [2]. In particular, we provide an analytic proof of a crucial conjecture made in [1] based on numerical solutions: that the R-charge values of three chiral multiplets in mABJM should be independent of the IR values of a hypermultiplet scalar, which is holographically dual to the superpotential mass term.

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“…Similar results followed from the analysis of the SU(3)-invariant sector in ref. [19] based on a conjectured ω-dependent superpotential compatible with the N = 2 structure of the truncated theory [20][21][22] as well as with ω → −ω and ω → ω + π 4 identifications of the electromagnetic phase [13,16,19,23]. In this way, an ω-dependent superpotential could be envisaged (up to an overall phase) and the structure of SU(3)-invariant critical points investigated.…”

Section: A Novel U(1) In Maximal Supergravitymentioning

confidence: 99%

“…However, a supergravity derivation of the ω-dependent L 4d including fermi mass terms L fermi and scalar potential V for the SU(3) truncation, as done in refs [20,21] for the ω = 0 case, remains to be done. As we will see later, the precise knowledge of L fermi happens to be crucial for computing full mass spectra at ω = 0 and will allow us to check the stability of critical points of V which could not be analysed in ref.…”

Section: A Novel U(1) In Maximal Supergravitymentioning

confidence: 99%

On new maximal supergravity and its BPS domain-walls

Guarino

2014

J. High Energ. Phys.

123

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Abstract:We revise the SU(3)-invariant sector of N = 8 supergravity with dyonic SO(8) gaugings. By using the embedding tensor formalism, analytic expressions for the scalar potential, superpotential(s) and fermion mass terms are obtained as a function of the electromagnetic phase ω and the scalars in the theory. Equipped with these results, we explore non-supersymmetric AdS critical points at ω = 0 for which perturbative stability could not be analysed before. The ω-dependent superpotential is then used to derive firstorder flow equations and obtain new BPS domain-wall solutions at ω = 0. We numerically look at steepest-descent paths motivated by the (conjectured) RG flows.

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ARE THERE ANY NEW VACUA OF GAUGED ${\mathcal N}=8$ SUPERGRAVITY IN FOUR DIMENSIONS?

Cited by 11 publications

References 39 publications

Embedding the SU(3) sector of SO(8) supergravity in D=11

Embedding the SU(3) sector of SO(8) supergravity in D=11

A perturbative study of holographic mABJM theory

On new maximal supergravity and its BPS domain-walls

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