The 11-dimensional metric for AdS/CFT RG flows with common SU(3) invariance

Ahn, Changhyun; Itoh, Taichi

doi:10.1016/s0550-3213(02)00871-4

Cited by 26 publications

(69 citation statements)

References 23 publications

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“…The catalog of physically interesting holographic solutions and flows that have been explicitly constructed in gauged supergravity is a very long one, whose early examples included the flows to highly non-trivial N = 1 supersymmetric "Leigh-Strassler" fixed points [2][3][4][5][6] and its ABJM analog ( [7][8][9] and [10][11][12][13][14][15]), through examples of N = 2 Seiberg-Witten flows [16][17][18], to maximally supersymmetric flows [19][20][21]. There are many more examples, perhaps the most recent of which is the supersymmetric flow that we studied in [22], where the large-N theory on a stack of M2 branes flows to a new, "nearly conformal" supersymmetric theory in (3 + 1) dimensions.…”

Section: Introductionmentioning

confidence: 99%

N $$ \mathcal{N} $$ =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory

Pilch

Tyukov

Warner

2016

J. High Energ. Phys.

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We investigate a family of SU(3)×U(1)×U(1)-invariant holographic flows and Janus solutions obtained from gauged N = 8 supergravity in four dimensions. We give complete details of how to use the uplift formulae to obtain the corresponding solutions in M theory. While the flow solutions appear to be singular from the four-dimensional perspective, we find that the eleven-dimensional solutions are much better behaved and give rise to interesting new classes of compactification geometries that are smooth, up to orbifolds, in the infra-red limit. Our solutions involve new phases in which M2 branes polarize partially or even completely into M5 branes. We derive the eleven-dimensional supersymmetries and show that the eleven-dimensional equations of motion and BPS equations are indeed satisfied as a consequence of their four-dimensional counterparts. Apart from elucidating a whole new class of eleven-dimensional Janus and flow solutions, our work provides extensive and highly non-trivial tests of the recently-derived uplift formulae.

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Section: Introductionmentioning

confidence: 99%

N $$ \mathcal{N} $$ =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory

Pilch

Tyukov

Warner

2016

J. High Energ. Phys.

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“…The associated U(1) gauge symmetry is thus preserved and to be identified with the R-symmetry of the dual field theory. In the compact SO(8) case, this solution was studied in [43,44] and uplifted to a background of 11D supergravity in [45,46]. Its dual SCFT was identified in [47] as the infrared fixed point of an RG flow from ABJM theory triggered by an SU(3) invariant mass term in the superpotential.…”

Section: M-theorymentioning

confidence: 99%

“…As a consequence of (11) and (46), this sector of the theory is encoded in a vector of charges Q of the form…”

Section: Gauge-equivalent Choice)mentioning

confidence: 99%

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Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on $$\hbox {H}^{(p,q)}$$ H ( p , q ) spaces

Guarino

2018

Eur. Phys. J. C

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Supersymmetric AdS 4 , AdS 2 × 2 and asymptotically AdS 4 black hole solutions are studied in the context of non-minimal N = 2 supergravity models involving three vector multiplets (STU-model) and Abelian gaugings of the universal hypermultiplet moduli space. Such models correspond to consistent subsectors of the SO( p, q) and ISO( p, q) gauged maximal supergravities that arise from the reduction of 11D and massive IIA supergravity on H ( p,q) spaces down to four dimensions. A unified description of all the models is provided in terms of a square-root prepotential and the gauging of a duality-hidden symmetry pair of the universal hypermultiplet. Some aspects of M-theory and massive IIA holography are mentioned in passing. MotivationAsymptotically anti-de Sitter (AdS 4 ) black holes in minimal N = 2 gauged supergravity have recently been connected to a universal renormalisation group (RG) flow for a large class of three-dimensional N = 2 superconformal field theories (SCFTs) using holography [1]. The relevant (universal) AdS 4 black hole is static, extremal (thus T = 0) and of Reissner-Nordström (R-N) type with zero mass and a hyperbolic horizon 2 = H 2 [2]. The space-time metric takes the formwithand d 2 = dθ 2 + sinh 2 (θ )dφ 2 being the Riemann surface element on 2 = H 2 . The metric asymptotes an AdS 4 geometry with radius L AdS 4 when r → ∞, and conforms to a e-mail: adolfo.guarino@ulb.ac.be . This black hole is a solution of the equations of motion that follow from the cosmological Einstein-Maxwell LagrangianEndowing the Lagrangian (3) with N = 2 local supersymmetry requires the cosmological constant to be negative and also a mass term for the gravitini fields in the theory [3]. Furthermore, supersymmetry fixes the cosmological constant to V = −3L The AdS 4 black hole described above is gauge/gravity dual to a universal RG flow in field theory [1]. This is an RG flow across dimensions 1 from a three-dimensional N = 2 SCFT (dual to the asymptotic AdS 4 geometry) placed on H 2 and with a topological twist along the exact superconformal R-symmetry, to a one-dimensional superconformal quantum mechanics (dual to the AdS 2 factor of the black hole nearhorizon geometry). Such a universal RG flow admits various holographic embeddings in eleven-dimensional (11D) supergravity [6,7], the low-energy limit of M-theory, and tendimensional massive IIA supergravity [8]. Specific examples have been studied in the context of ABJM theory [9] and GJV/SYM-CS duality [10] (and its generalisation of [11]) involving reductions of M-theory and massive IIA strings on various compact spaces [1]. More concretely, when placing the SCFTs on S 1 × 2 , a counting of supersymmetric ground states using the topologically twisted index of [12] at large N was shown to exactly reproduce the Bekenstein-Hawking entropy associated with the AdS 4 black hole in (1), (2).

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“…3, 5, 6, see also Refs. [7][8][9]. The exact solutions to the M -theory lift of these RG flows are known in Refs.…”

Section: Introductionmentioning

confidence: 99%

${\mathcal N}=8$ GAUGED SUPERGRAVITY THEORY AND ${\mathcal N}=6$ SUPERCONFORMAL CHERN–SIMONS MATTER THEORY

Ahn

Woo

2010

Int. J. Mod. Phys. A

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By studying the previously known holographic N = 4 supersymmetric renormalization group flow (Gowdigere-Warner) in four dimensions, we find the mass deformed Chern-Simons matter theory which has N = 4 supersymmetry by adding the four mass terms among eight adjoint fields. The geometric superpotential from the 11 dimensions is found and provides the M2-brane probe analysis. As second example, we consider known holographic N = 8 supersymmetric renormalization group flow (Pope-Warner) in four dimensions. The eight mass terms are added and similar geometric superpotential is obtained. a There are other related works 24-29 which discuss about the different supersymmetric theories in the context of Chern-Simons matter theory. Int. J. Mod. Phys. A 2010.25:3407-3444. Downloaded from www.worldscientific.com by MICHIGAN STATE UNIVERSITY on 02/06/15. For personal use only.

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The 11-dimensional metric for AdS/CFT RG flows with common SU(3) invariance

Cited by 26 publications

References 23 publications

N $$ \mathcal{N} $$ =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory

N $$ \mathcal{N} $$ =2 supersymmetric Janus solutions and flows: from gauged supergravity to M theory

Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on $$\hbox {H}^{(p,q)}$$ H ( p , q ) spaces

${\mathcal N}=8$ GAUGED SUPERGRAVITY THEORY AND ${\mathcal N}=6$ SUPERCONFORMAL CHERN–SIMONS MATTER THEORY

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