Supersymmetric dyonic strings in 6-dimensions from 3-dimensions

Deger, Nihat Sadik; Petri, Nicolò; Bleeken, Dieter Van den

doi:10.1007/jhep04(2019)168

Cited by 11 publications

(15 citation statements)

References 48 publications

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“…The existence of this flat direction in the scalar potential has already been noted in [29]. The potential for these families remains fixed at V (B),0 = −2, and the scalar spectrum is given by…”

Section: Extrema Of the Scalar Potentialmentioning

confidence: 57%

Consistent S3 reductions of six-dimensional supergravity

Samtleben

Sarıoğlu

2019

Phys. Rev. D

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We work out the consistent AdS 3 × S 3 truncations of the bosonic sectors of both the six-dimensional N = (1, 1) and N = (2, 0) supergravity theories. They result in inequivalent three-dimensional half-maximal SO(4) gauged supergravities describing 32 propagating bosonic degrees of freedom apart from the non-propagating supergravity multiplet. We present the full non-linear Kaluza-Klein reduction formulas and illustrate them by explicitly uplifting a number of AdS 3 vacua. Conclusions 24A S 3 harmonics and identities 25 theories of concern and the dualities they enjoy. Notably, these are not truncations in an effective field theory sense, with the massive Kaluza-Klein towers integrated out, yet every solution of the lower-dimensional theory lifts to a solution of the higher-dimensional theory. They are of particular importance in holographic applications, ensuring the validity of lower-dimensional supergravity computations, such as holographic correlators and renormalization group (RG) flows [4]. This work deals with consistent sphere compactifications in the context of AdS 3 × S 3 , one of the central examples in the AdS/CFT correspondence [5] in which supergravity techniques have been successfully employed [6][7][8][9][10][11] in order to unravel the structure of the dual two-dimensional conformal field theories. Generic consistent S 3 truncations in (super)gravity have been discussed in [12][13][14], where the full non-linear Kaluza-Klein Ansätze were constructed for a higherdimensional theory that comprises the field content of the bosonic string. The resulting lowerdimensional theories are SO(4) gauged (super)gravities carrying gauge fields, a 2-form, and scalar fields whose potential do not admit any stationary points. In the particular case of AdS 3 × S 3 , the higher-dimensional theory is D = 6, N = (1, 0) supergravity coupled to a single tensor multiplet that carries an anti-selfdual 2-form. In contrast to the higher-dimensional examples, the 2-forms in the resulting three-dimensional theory are auxiliary and can be integrated out, giving rise to an additional contribution to the scalar potential. This amended potential turns out to support a stable supersymmetric AdS 3 vacuum [15], corresponding to the supersymmetric AdS 3 × S 3 solution of the D = 6 theory. The non-linear Kaluza-Klein Ansätze can be confirmed by direct computation.More recently, new techniques have emerged for a more systematic understanding of consistent truncations within exceptional field theory (ExFT) and generalized geometry [16][17][18][19][20][21], see also [22,23] in the context of double field theory. Using the reformulation of D = 6, N = (1, 0) supergravity as an exceptional field theory based on the group SO(4,4) [24], the non-linear Kaluza-Klein Ansätze from [12,15] can straightforwardly be reproduced from the generalized Scherk-Schwarz twist matrices U in this framework. In this paper, we will extend the consistent S 3 truncations to the full N = (1, 1) and N = (2, 0) supergravities in six dimensions. The relevant framewor...

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Section: Extrema Of the Scalar Potentialmentioning

confidence: 57%

Consistent S3 reductions of six-dimensional supergravity

Samtleben

Sarıoğlu

2019

Phys. Rev. D

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“…Some supersymmetric solutions of these supergravity theories have been found and analyzed. However, to date, such BPS solutions have typically been the simple AdS 3 vacua or singular black strings [10]. From the perspective of three-dimensional supergravity, the BPS solutions we present here are remarkable: they represent extremely rich families of smooth, capped BTZ geometries.…”

Section: Jhep08(2021)133mentioning

confidence: 87%

Supersymmetry and superstrata in three dimensions

Houppe

Warner

2021

J. High Energ. Phys.

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We analyze the supersymmetry transformations of gauged SO(4) supergravity coupled to extra hypermultiplets in three dimensions, and find large families of smooth BPS solutions that preserve four supersymmetries. These BPS solutions are part of the consistent truncation of some families of six-dimensional superstrata. From the three-dimensional perspective, these solutions give rise to “smoothly-capped BTZ” geometries. We show how the twisting of the spin connection, the holomorphy of the fields, and the Chern-Simons connections all play an essential role in the existence of these supersymmetric solutions. This paper also closes the circle on the consistent truncation of superstrata, showing precisely how every feature of the superstratum enters into the three-dimensional BPS structure.

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“…We also note that the three-dimensional supergravity corresponding to N = (1, 0) supergravity coupled to one tensor multiplet was used in [35] to construct some blackring and black-string solutions. The consistent truncation proved to be a useful tool, but the lack of the extra tensor multiplet meant that the solutions were singular and that superstrata were inaccessible from within such a truncation.…”

Section: Jhep10(2020)030mentioning

confidence: 99%

Microstate geometries from gauged supergravity in three dimensions

Mayerson

Walker

Warner

2020

J. High Energ. Phys.

138

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The most detailed constructions of microstate geometries, and particularly of superstrata, are done using $$ \mathcal{N} $$ N = (1, 0) supergravity coupled to two anti-self-dual tensor multiplets in six dimensions. We show that an important sub-sector of this theory has a consistent truncation to a particular gauged supergravity in three dimensions. Our consistent truncation is closely related to those recently laid out by Samtleben and Sarıoğlu [1], which enables us to develop complete uplift formulae from the three-dimensional theory to six dimensions. We also find a new family of multi-mode superstrata, indexed by two arbitrary holomorphic functions of one complex variable, that live within our consistent truncation and use this family to provide extensive tests of our consistent truncation. We discuss some of the future applications of having an intrinsically three-dimensional formulation of a significant class of microstate geometries.

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Supersymmetric dyonic strings in 6-dimensions from 3-dimensions

Cited by 11 publications

References 48 publications

Consistent S3 reductions of six-dimensional supergravity

Consistent S3 reductions of six-dimensional supergravity

Supersymmetry and superstrata in three dimensions

Microstate geometries from gauged supergravity in three dimensions

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