Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry

Macpherson, Niall T.

doi:10.1007/jhep05(2019)089

Cited by 55 publications

(85 citation statements)

References 55 publications

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“…To realise SO(4), one needs to consider spinors on one of S 2 ×S 2 , S 2 ×S 3 or S 3 × S 3 . The general form of SO(4) spinors on S 3 ×S 3 × ℝ was already given in [36], so this shall be our starting point. We review their construction in the next section.…”

Section: Realising  = (3 0) From Ads 3 ×S 3 ×S 3 × ℝ With a Fibrationmentioning

confidence: 99%

“…In [36] the general form of SO(4) spinors on AdS 3 ×S 3 ×S 3 × ℝ was derived and then used to find the local form of all such type II solutions. The purpose of this section is to review this first point.…”

Section: Constructing So(4) Spinors On Ads 3 ×S 3 ×S 3 × ℝmentioning

confidence: 99%

“…Recently, more attention has been given to populating the space of supergravity solutions with various superconformal algebras. Most efforts have focused on type IIB with partial results for solutions with small  = (4, 0) in [18,19], large  = (4, 0) in [35,36] and  = (2, 0) in [20][21][22][23] in [24]. Exceptions to this trend include a classification of purely NS  = (2, 2) solutions in [25], large  = (4, 0) in Mtheory [26] and massive IIA, [36] and small  = (4, 0) in massive IIA.…”

Section: Introductionmentioning

confidence: 99%

“…Most efforts have focused on type IIB with partial results for solutions with small  = (4, 0) in [18,19], large  = (4, 0) in [35,36] and  = (2, 0) in [20][21][22][23] in [24]. Exceptions to this trend include a classification of purely NS  = (2, 2) solutions in [25], large  = (4, 0) in Mtheory [26] and massive IIA, [36] and small  = (4, 0) in massive IIA. [27][28][29][30] These examples, while certainly of great merit, still only cover a small subset of possible superconfromal algebras -see [31] for a complete list that may be embedded into ten-and eleven-dimensional supergravity 1 .…”

Section: Introductionmentioning

confidence: 99%

“…S n ,T n ,H n ,…) whose Killing spinors transform as a triplet under SO(3) R . Taking inspiration from [34], we get around this issue by instead using spinors on the internal space that realise an SO(4) R-symmetry, which can be achieved with a product of 2 and/or 3-sphere (we choose 3-spheres building on the work of [36]), and then explicitly breaking SO(4) to SO(3) with the fluxes and a S 3 ×S 3 fibration. An advantage of this approach is that in addition to necessary conditions for solutions with OSP(3|2), we also find necessary conditions for a class of  = (1, 0) solutions with OSP(1|2) superconformal algebra, for which SO(3) becomes a flavour symmetry.…”

Section: Introductionmentioning

confidence: 99%

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AdS₃ solutions with from S³ × S³ fibrations

Legramandi

Macpherson

2020

Fortschritte der Physik

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We study warped AdS 3 solutions in massive IIA supergravity preserving  = (3, 0) and  = (1, 0) supersymmetry. We consider solutions whose internal spaces decompose as an S 3 ×S 3 fibration and a interval over which the rest of the solution is foliated. We present necessary and sufficient conditions for these solutions to exist, in terms of systems of ordinary differential equations and find several new analytic and numerical examples with internal spaces bounded between D-brane and O-plane behaviors.1 Interestingly [32] find  = (8, 0) solutions in 3d gauged supergravity that do not appear to be able to be embedded in 10 or 11 dimensionsso this may not be the full story.

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Section: Realising  = (3 0) From Ads 3 ×S 3 ×S 3 × ℝ With a Fibrationmentioning

confidence: 99%

Section: Constructing So(4) Spinors On Ads 3 ×S 3 ×S 3 × ℝmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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AdS₃ solutions with from S³ × S³ fibrations

Legramandi

Macpherson

2020

Fortschritte der Physik

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The holographic landscape of symmetric product orbifolds

Belin

Castro

Keller

et al. 2020

J. High Energ. Phys.

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We investigate the growth of coefficients in the elliptic genus of symmetric product orbifolds at large central charge. We find that this landscape decomposes into two regions. In one region, the growth of the low energy states is Hagedorn, which indicates a stringy dual. In the other, the growth is much slower, and compatible with the spectrum of a supergravity theory on AdS 3 . We provide a simple diagnostic which places any symmetric product orbifold in either region. We construct a class of elliptic genera with such supergravity-like growth, indicating the possible existence of new realizations of AdS 3 /CFT 2 where the bulk is a semi-classical supergravity theory. In such cases, we give exact expressions for the BPS degeneracies, which could be matched with the spectrum of perturbative states in a dual supergravity description.

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AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Lozano

Macpherson

Núñez

et al. 2020

J. High Energ. Phys.

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257

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We study AdS 3 × S 2 solutions in massive IIA that preserve small N = (4, 0) supersymmetry in terms of an SU(2)-structure on the remaining internal space. We find two new classes of solutions that are warped products of the form AdS 3 ×S 2 ×M 4 ×R. For the first, M 4 =CY 2 and we find a generalisation a D4-D8 system involving possible additional branes. For the second, M 4 need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3branes wrapping curves in the base of an elliptically fibered Calabi-Yau 3-fold. Within these classes we find many new locally compact solutions that are foliations of AdS 3 × S 2 × CY 2 over an interval, bounded by various D brane and O plane behaviours. We comment on how these local solutions may be used as the building blocks of infinite classes of global solutions glued together with defect branes. Utilising T-duality we find two new classes of AdS 3 × S 3 × M 4 solutions in IIB. The first backreacts D5s and KK monopoles on the D1-D5 near horizon. The second is a generalisation of the solutions based on D3-branes wrapping curves in the base of an elliptically fibered CY 3 that includes non trivial 3-form flux.

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Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry

Cited by 55 publications

References 55 publications

AdS₃ solutions with from S³ × S³ fibrations

AdS₃ solutions with from S³ × S³ fibrations

The holographic landscape of symmetric product orbifolds

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

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Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry

Cited by 55 publications

References 55 publications

AdS3 solutions with from S3 × S3 fibrations

AdS3 solutions with from S3 × S3 fibrations

The holographic landscape of symmetric product orbifolds

AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

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Product

Resources

About

AdS₃ solutions with from S³ × S³ fibrations

AdS₃ solutions with from S³ × S³ fibrations