Supergravity dual of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>c</mml:mi></mml:math>-extremization

Karndumri, Parinya; Colgáin, Eoin Ó

doi:10.1103/physrevd.87.101902

Cited by 40 publications

(83 citation statements)

References 46 publications

(83 reference statements)

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“…We develop the necessary formalism in 5d N = 2 gauged supergravity to study the flow across dimensions in presence of background fluxes and obtain the 2d central charge in terms of the sections, the isometries and the fluxes. Notice that the relation between c-extremization and the N = 2 gauged supergravity BPS flow equations has already been proposed in [27], where the ST U truncation (one graviton and two massless JHEP07(2017)040 vector multiplets) was taken into consideration. Here we consider a more general setup, without fixing the number of vector multiplets and discussing the analysis in presence of hypermultiplets.…”

Section: Jhep07(2017)040mentioning

confidence: 99%

“…We reproduce the topological twist by identifying the R-symmetry and the baryonic symmetry with the graviphoton and with the Betti vector respectively. Explicitly 27) hence the identifications between the field theory generators T f.t. R and T f.t.…”

Section: C-extremization From Gauged Supergravitymentioning

confidence: 99%

“…fields, as explained in [27]. 6 The sections X I are proportional to the mixing coefficients, the R-charges, in the expression of the graviphoton, r I = qX I .…”

Section: Jhep07(2017)040mentioning

confidence: 99%

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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: Jhep07(2017)040mentioning

confidence: 99%

Section: C-extremization From Gauged Supergravitymentioning

confidence: 99%

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Betti multiplets, flows across dimensions and c-extremization

Amariti

Toldo

2017

J. High Energ. Phys.

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“…The first non-trivial reduction with an AdS 3 vacuum involves a reduction on H 2 . We omit the details since a related reduction appeared recently in [37] where, in addition, the underlying three-dimensional gauged supergravity was identified. The mass-squared matrix for the fluctuations takes the following form:…”

Section: Stability Of Ads Vacuamentioning

confidence: 99%

“…In expressing terms this way, we have made use of the Kähler potential of the three-dimensional gauged supergravity, K = −(W 1 + W 2 + W 3 ), introduced a length scale L for the internal space, and imported the notation of [37], e Wi = e 2A X −1 i , where A denotes the warp factor. Up to the minus sign in front of the second term, this is the potential corresponding to magnetized wrapped brane solutions [37].…”

Section: De Sitter Vacuamentioning

confidence: 99%

Warped Ricci-flat reductions

et al. 2014

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We present a simple class of warped-product vacuum (Ricci-flat) solutions to ten and elevendimensional supergravity, where the internal space is flat and the warp factor supports de Sitter (dS) and anti-de Sitter (AdS) vacua in addition to trivial Minkowski vacua. We outline the construction of consistent Kaluza-Klein (KK) reductions and show that, although our vacuum solutions are non-supersymmetric, these are closely related to the bosonic part of well-known maximally supersymmetric reductions on spheres. We comment on the stability of our solutions, noting that (A)dS3 vacua pass routine stability tests.

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Black string first order flow in N = 2, d = 5 abelian gauged supergravity

Klemm

Petri

Rabbiosi

2017

J. High Energ. Phys.

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We derive both BPS and non-BPS first-order flow equations for magnetically charged black strings in five-dimensional N = 2 abelian gauged supergravity, using the Hamilton-Jacobi formalism. This is first done for the coupling to vector multiplets only and U(1) Fayet-Iliopoulos (FI) gauging, and then generalized to the case where also hypermultiplets are present, and abelian symmetries of the quaternionic hyperscalar target space are gauged. We then use these results to derive the attractor equations for near-horizon geometries of extremal black strings, and solve them explicitely for the case where the constants appearing in the Chern-Simons term of the supergravity action satisfy an adjoint identity. This allows to compute in generality the central charge of the two-dimensional conformal field theory that describes the black strings in the infrared, in terms of the magnetic charges, the CY intersection numbers and the FI constants. Finally, we extend the r-map to gauged supergravity and use it to relate our flow equations to those in four dimensions.

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Supergravity dual ofc-extremization

Cited by 40 publications

References 46 publications

Betti multiplets, flows across dimensions and c-extremization

Betti multiplets, flows across dimensions and c-extremization

Warped Ricci-flat reductions

Black string first order flow in N = 2, d = 5 abelian gauged supergravity

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