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

Karndumri, Parinya; Nuchino, Patharadanai

doi:10.1140/epjc/s10052-020-7752-x

Cited by 5 publications

(3 citation statements)

References 69 publications

(132 reference statements)

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“…Finding supersymmetric solutions from these gauge groups could be useful in the study of AdS 6 /CFT 5 correspondence. Finally, finding supersymmetric curved domain walls with nonvanishing vector and tensor fields as in seven-dimensional maximal gauged supergravity in [58,59] is worth considering. This type of solutions can describe conformal defects or holographic RG flows from five-dimensional N = 4 super Yang-Mills theories to lower dimensions.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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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: 99%

“…59) the resulting solutions will preserve only eight supercharges or1 4 of the original supersymmetry.With the following ansatz for the Killing spinors…”

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confidence: 99%

Supersymmetric domain walls in 7D maximal gauged supergravity

Karndumri

Nuchino

2019

Eur. Phys. J. C

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“…Finding supersymmetric solutions from these gauge groups could be useful in the study of AdS 6 /CFT 5 correspondence. Finally, finding supersymmetric curved domain walls with non-vanishing vector and tensor fields as in seven-dimensional maximal gauged supergravity in [59,60] These imply that we can assign the R + weights ±2 to the 5 and 5 representations of SL( 5) ⊂ G L (5). Therefore, the branching rule for a vector representation reads…”

Section: Domain Walls Inmentioning

confidence: 99%

Supersymmetric domain walls in maximal 6D gauged supergravity I

Karndumri

Nuchino

2021

Eur. Phys. J. C

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We find a large class of supersymmetric domain wall solutions from six-dimensional $$N=(2,2)$$ N = ( 2 , 2 ) gauged supergravity with various gauge groups. In general, the embedding tensor lives in $${{\mathbf {144}}}_c$$ 144 c representation of the global symmetry SO(5, 5). We explicitly construct the embedding tensors in $${{\mathbf {15}}}^{-1}$$ 15 - 1 and $$\overline{{\mathbf {40}}}^{-1}$$ 40 ¯ - 1 representations of $$GL(5)\sim {\mathbb {R}}^+\times SL(5)\subset SO(5,5)$$ G L ( 5 ) ∼ R + × S L ( 5 ) ⊂ S O ( 5 , 5 ) leading to $$CSO(p,q,5-p-q)$$ C S O ( p , q , 5 - p - q ) and $$CSO(p,q,4-p-q)\ltimes {\mathbb {R}}^4_{{\varvec{s}}}$$ C S O ( p , q , 4 - p - q ) ⋉ R s 4 gauge groups, respectively. These gaugings can be obtained from $$S^1$$ S 1 reductions of seven-dimensional gauged supergravity with $$CSO(p,q,5-p-q)$$ C S O ( p , q , 5 - p - q ) and $$CSO(p,q,4-p-q)$$ C S O ( p , q , 4 - p - q ) gauge groups. As in seven dimensions, we find half-supersymmetric domain walls for purely magnetic or purely electric gaugings with the embedding tensors in $${{\mathbf {15}}}^{-1}$$ 15 - 1 or $$\overline{{\mathbf {40}}}^{-1}$$ 40 ¯ - 1 representations, respectively. In addition, for dyonic gauge groups with the embedding tensors in both $${{\mathbf {15}}}^{-1}$$ 15 - 1 and $$\overline{{\mathbf {40}}}^{-1}$$ 40 ¯ - 1 representations, the domain walls turn out to be $$\frac{1}{4}$$ 1 4 -supersymmetric as in the seven-dimensional analogue. By the DW/QFT duality, these solutions are dual to maximal and half-maximal super Yang–Mills theories in five dimensions. All of the solutions can be uplifted to seven dimensions and further embedded in type IIB or M-theories by the well-known consistent truncation of the seven-dimensional $$N=4$$ N = 4 gauged supergravity.

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Generalised U-dual solutions in supergravity

Blair

Zhidkova

2022

J. High Energ. Phys.

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We discuss the notion of generalised U-duality as a solution generating technique in supergravity. We demonstrate a method to take solutions of type IIA supergravity on a 3-sphere, with NSNS flux, to new solutions of 11-dimensional supergravity, using exceptional geometry techniques. These new solutions are characterised by an underlying 3-algebra structure, and generalise features of solutions obtained by non-abelian T-duality, which involve an underlying ordinary Lie algebra. We focus on an example where we start with the pp-F1-NS5 solution in type IIA supergravity. We discuss the properties of our resulting new solution, including the possibility of viewing it globally as a U-fold, and its M2 and M5 brane charges. In the extremal case, the new solution admits an AdS3 limit, which falls into a recently constructed class of M-theory AdS3 backgrounds — this provides a global completion of our solution with a well-defined holographic dual, similar to the global completions of non-abelian T-dual solutions. Our full solution is a 6-vector deformation of this AdS3 limit. We also explicitly solve the Killing spinor equation in the AdS3 limit, finding a $$ \frac{1}{2}\hbox{-} \mathrm{BPS} $$ 1 2 ‐ BPS solution.

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

Cited by 5 publications

References 69 publications

Supersymmetric domain walls in 7D maximal gauged supergravity

Supersymmetric domain walls in 7D maximal gauged supergravity

Supersymmetric domain walls in maximal 6D gauged supergravity I

Generalised U-dual solutions in supergravity

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