Holographic duals of 6d RG flows

Luca, G. Bruno De; Gnecchi, Alessandra; Monaco, Gabriele Lo; Tomasiello, Alessandro

doi:10.1007/jhep03(2019)035

Cited by 21 publications

(34 citation statements)

References 38 publications

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“…With the truncation ansatz given in [33], it would be of particular interest to uplift the solutions from SO(4) gauged supergravity to type IIB theory and study the field theory on the world-volume of NS5-and D5branes. Using the solutions from SO(5) and CSO(4, 0, 1) gauged supergravities given here to holographically study field theories on M5-branes and NS5-branes also deserves further investigation along the line of [41,42,43]. Finally, finding supersymmetric domain walls with non-vanishing vector and tensor fields as in half-maximal gauged supergravity studied in [44,45,46] is worth considering.…”

Section: Conclusion and Discussionmentioning

confidence: 90%

Supersymmetric domain walls in 7D maximal gauged supergravity

Karndumri

Nuchino

2019

Eur. Phys. J. C

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We give a large class of supersymmetric domain walls in maximal seven-dimensional gauged supergravity with various types of gauge groups. Gaugings are described by components of the embedding tensor transforming in representations 15 and 40 of the global symmetry SL(5). The embedding tensor in 15 representation leads to CSO(p, q, 5 − p − q) gauge groups while gaugings in 40 representation describes CSO(p, q, 4 − p − q) gauge groups. These gaugings admit half-supersymmetric domain walls as vacuum solutions. On the other hand, gaugings involving both 15 and 40 components lead to 1 4 -supersymmetric domain walls. In this case, the gauge groups under consideration are SO(2, 1) ⋉ R 4 and CSO(2, 0, 2) ∼ SO(2) ⋉ R 4 . All of the domain wall solutions are analytically obtained. For SO(5) gauge group, the gauged supergravity admits an N = 4 supersymmetric AdS 7 vacuum dual to N = (2, 0) SCFT in six dimensions. The corresponding domain walls can be interpreted as holographic RG flows from the N = (2, 0) SCFT to non-conformal N = (2, 0) field theories in the IR. The solutions can be uplifted to eleven dimensions by using a truncation ansatz on S 4 . Furthermore, the gauged supergravity with CSO(4, 0, 1) ∼ SO(4) ⋉ R 4 gauge group can be embedded in type IIA theory via a truncation on S 3 . The uplifted domain walls, describing NS5-branes of type IIA theory, are also given.

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Section: Conclusion and Discussionmentioning

confidence: 90%

Supersymmetric domain walls in 7D maximal gauged supergravity

Karndumri

Nuchino

2019

Eur. Phys. J. C

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“…According to the AdS/CFT correspondence, these critical points correspond to N = (1, 0) SCFTs in six dimensions with SO (4) and SO(3) symmetries, respectively. A holographic RG flow interpolating between these two critical points has already been studied in [33], see also [39] for more general solutions. In subsequent sections, we will find supersymmetric Ad S 3 × M 4 solutions to this N = 2 SO(4) gauged supergravity and RG flow solutions from the above Ad S 7 vacua to these geometries in the IR.…”

Section: Seven-dimensional N = 2 So(4) Gauged Supergravitymentioning

confidence: 99%

“…From the gauge fields given in (39) and 40, we can straightforwardly compute the corresponding two-form field strengths…”

Section: Ad S 3 Vacua With So(2) × So(2) Symmetrymentioning

confidence: 99%

Two-dimensional SCFTs from matter-coupled $$7D~N=2$$ gauged supergravity

Karndumri

Nuchino

2019

Eur. Phys. J. C

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We study supersymmetric Ad S 3 × M 4 solutions of N = 2 gauged supergravity in seven dimensions coupled to three vector multiplets with SO(4) ∼ SO(3) × SO(3) gauge group and M 4 being a four-manifold with constant curvature. The gauged supergravity admits two supersymmetric Ad S 7 critical points with SO(4) and SO(3) symmetries corresponding to N = (1, 0) superconformal field theories (SCFTs) in six dimensions. For M 4 = 2 × 2 with 2 being a Riemann surface, we obtain a large class of supersymmetric Ad S 3 × 2 × 2 solutions preserving four supercharges and SO(2) × SO(2) symmetry for one of the 2 being a hyperbolic space H 2 , and the solutions are dual to N = (2, 0) SCFTs in two dimensions. For a smaller symmetry SO(2), only Ad S 3 × H 2 × H 2 solutions exist. Some of these are also solutions of pure N = 2 gauged supergravity with SU (2) ∼ SO(3) gauge group. We numerically study domain walls interpolating between the two supersymmetric Ad S 7 vacua and these geometries. The solutions describe holographic RG flows across dimensions from N = (1, 0) SCFTs in six dimensions to N = (2, 0) two-dimensional SCFTs in the IR. Similar solutions for M 4 being a Kahler four-cycle with negative curvature are also given. In addition, unlike M 4 = 2 × 2 case, it is possible to twist by SO(3) diag gauge fields resulting in two-dimensional N = (1, 0) SCFTs. Some of the solutions can be uplifted to eleven dimensions and provide a new class of Ad S 3 × M 4 × S 4 solutions in Mtheory.

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“…Finally, in [12], the general supersymmetric solution was found analytically. It was argued to be holographically dual to 6D (1, 0) theories [13][14][15][16], which arise from intersecting NS5/D6/D8-brane systems [17][18][19][20][21][22][23][24]. Consistent truncations of massive type IIA around supersymmetric AdS 7 vacua were studied in [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

On SUSY-breaking moduli spaces of AdS7 vacua and 6D SCFTs

Junghans

Zagermann

2019

J. High Energ. Phys.

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We study supersymmetric AdS 7 vacua of massive type IIA string theory, which were argued to describe the near-horizon limit of NS5/D6/D8-brane intersections and to be holographically dual to 6D (1, 0) theories. We show, for the case without D8-brane charges, that such vacua do not admit any supersymmetry-breaking deformations. Our result implies that the dual (1, 0) theories do not have a conformal manifold, thus extending previously known results for supersymmetric deformations. It is also in line with the recent conjecture that non-supersymmetric AdS vacua are in the swampland.1 The breaking of supersymmetry in this solution was discussed in [9]. 2 In 4D Minkowski string vacua, supersymmetry cannot be continuously broken [30,31], but we are not aware of arguments forbidding this in a 7D AdS context.

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Holographic duals of 6d RG flows

Cited by 21 publications

References 38 publications

Supersymmetric domain walls in 7D maximal gauged supergravity

Supersymmetric domain walls in 7D maximal gauged supergravity

Two-dimensional SCFTs from matter-coupled $$7D~N=2$$ gauged supergravity

On SUSY-breaking moduli spaces of AdS7 vacua and 6D SCFTs

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