3D supergravity from wrapped M5-branes

Karndumri, Parinya; Colgáin, Eoin Ó

doi:10.1007/jhep03(2016)188

Cited by 25 publications

(20 citation statements)

References 110 publications

(272 reference statements)

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“…This fact was noticed in [45] for the model treated in section 6 (see related discussion in that section). Indeed, one sees that the BPS flow equations are generated by varying a single superpotential function, which in the present case is denoted by W 3 .…”

Section: Holographic Rg Flowsupporting

confidence: 54%

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Betti multiplets, flows across dimensions and c-extremization

Amariti

Toldo

2017

J. High Energ. Phys.

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Abstract:We consider 4d N = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N = (0, 2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c 2d , similarly to the 4d picture, where the exact R-current maximizes the central charge a 4d . There are global currents that do not mix with the R-current in 4d but their mixing becomes non trivial in 2d. In this paper we study the holographic dual of this process by analyzing a 5d N = 2 truncation of T 1,1 with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS 5 to AdS 3 vacua in the supergravity picture. We verify the existence of the flow to AdS 3 solutions and we retrieve the field theory results for the mixing of the Betti vector with the graviphoton. Moreover, we extract the central charge from the Brown-Henneaux formula, matching with the results obtained in field theory. We develop a general formalism to obtain the central charge of a 2d SCFT from 5d N = 2 gauged supergravity with a generic number of vector multiplets, showing that its extremization corresponds to an attractor mechanism for the scalars in the supergravity picture.

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Section: Holographic Rg Flowsupporting

confidence: 54%

“…it is associated to a massless vector multiplet that does not mix with the 5d graviphoton, but 16 This model was discussed in [45]. In the same paper the uplift in 10d is constructed and the authors showed that the R-symmetry agrees with the canonical R-symmetry in 11D based on the existing classification, [17].…”

Section: M5 Branesmentioning

confidence: 98%

Betti multiplets, flows across dimensions and c-extremization

Amariti

Toldo

2017

J. High Energ. Phys.

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“…The results in that paper motivates a direct study of the R-charge extremization problem from the 1D perspective, following an analogous approach to the ones developed in [46][47][48][49] compactifying from AdS 5 to AdS 3 × S 2 .…”

Section: Conclusive Discussion: Open Problems and Further Investigationsmentioning

confidence: 61%

3D τ RR -minimization in AdS4 gauged supergravity

Amariti

Gnecchi

2016

J. High Energ. Phys.

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In this paper we propose the identification in AdS 4 N = 2 gauged supergravity of the coefficient τ RR of 3D N = 2 SCFTs. We constrain the structure of this function in supergravity by combining the results from unitarity, holography and localization. We show that our conjectured function is minimized by the exact R-charge, corresponding to a gravitational attractor for the scalars of special geometry. We identify this mechanism with the supergravity dual of τ RR -minimization. We check this proposal in ABJM model, comparing with expectations from localization and AdS/CFT duality. We comment also on possible relations with black hole microstates counting, recently obtained from application of localization techniques.

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“…In many cases, the resulting solutions can be embedded in ten or eleven dimensions by using consistent truncation ansatze. Solutions of this type in the maximal N = 4 gauged supergravity with SO(5) gauge group in seven dimensions have been extensively studied in previous works [8,9,10,11,12,13,14,15], see also [16,17,18,19] for similar solutions in N = 2 gauged supergravity. For solutions in other dimensions, see [20,21,22,23,24,25,26,27,28,29,30,31,32,33] for an incomplete list.…”

Section: Introductionmentioning

confidence: 99%

Twisted compactifications of 6D field theories from maximal 7D gauged supergravity

Karndumri

Nuchino

2020

Eur. Phys. J. C

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We study supersymmetric AdS n ×Σ 7−n , n = 2, 3, 4, 5 solutions in sevendimensional maximal gauged supergravity with CSO(p, q, 5 − p − q) and CSO(p, q, 4 − p − q) gauge groups. These gauged supergravities are consistent truncations of eleven-dimensional supergravity and type IIB theory on H p,q • T 5−p−q and H p,q • T 4−p−q , respectively. Apart from recovering the previously known AdS n × Σ 7−n solutions in SO(5) gauge group, we find novel classes of AdS 5 × S 2 , AdS 3 × S 2 × Σ 2 and AdS 3 × CP 2 solutions in non-compact SO(3, 2) gauge group together with a class of AdS 3 × CP 2 solutions in SO(4, 1) gauge group. In SO(5) gauge group, we extensively study holographic RG flow solutions interpolating from the SO(5) supersymmetric AdS 7 vacuum to the AdS n × Σ 7−n fixed points and singular geometries in the form of curved domain walls with M kw n−1 × Σ 7−n slices. In many cases, the singularities are physically acceptable and can be interpreted as non-conformal phases of (n − 1)-dimensional SCFTs obtained from twisted compactifications of N = (2, 0) SCFT in six dimensions. In SO(3, 2) and SO(4, 1) gauge groups, we give a large number of RG flows between the new AdS n × Σ 7−n fixed points and curved domain walls while, in CSO(p, q, 4−p−q) gauge group, RG flows interpolating between asymptotically locally flat domain walls and curved domain walls are given.

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3D supergravity from wrapped M5-branes

Cited by 25 publications

References 110 publications

Betti multiplets, flows across dimensions and c-extremization

Betti multiplets, flows across dimensions and c-extremization

3D τ RR -minimization in AdS4 gauged supergravity

Twisted compactifications of 6D field theories from maximal 7D gauged supergravity

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