M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

Suh, Minwoo

doi:10.48550/arxiv.2207.00034

Cited by 4 publications

(8 citation statements)

References 49 publications

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“…Similar investigations of SCFTs in d = 3, 5, 6 dimensions that are compactified on a spindle have also been made [9][10][11][12][13][14][15][16]. Furthermore, compactifying on higher-dimensional orbifolds is also possible [17] (see also [18]): in particular, the case of the N = (0, 2), d = 6 SCFT arising on M5-branes and then reduced on four-dimensional orbifolds, including a spindle fibred over a spindle, was studied in [17]. The goal of the present paper is to report on an investigation of the d = 4 Leigh-Strassler (LS) SCFT compactified on a spindle.…”

Section: Jhep10(2022)067mentioning

confidence: 55%

Leigh-Strassler compactified on a spindle

Arav

Gauntlett

Roberts

et al. 2022

J. High Energ. Phys.

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We construct a new class of supersymmetric AdS3 × Y7 solutions of type IIB supergravity, where Y7 is an S5 fibration over a spindle, which are dual to d = 2, $$ \mathcal{N} $$ N = (0, 2) SCFTs. The solutions are constructed in a sub-truncation of D = 5, SO(6) maximal gauged supergravity and they all lie within the anti-twist class. We show that the central charge computed from the gravity solutions agrees with an anomaly polynomial calculation associated with compactifying the $$ \mathcal{N} $$ N = 1, d = 4 Leigh-Strassler SCFT on a spindle.

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Section: Jhep10(2022)067mentioning

confidence: 55%

Leigh-Strassler compactified on a spindle

Arav

Gauntlett

Roberts

et al. 2022

J. High Energ. Phys.

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show abstract

“…More generally one might imagine that conjectured gravitational block formulas for other classes of solutions, in different theories and in different dimensions, could be derived using a similar approach to this paper, and/or by an appropriate fixed point theorem. For example, the various black holes in AdS 4 and AdS 5 discussed in [45], the class of branes wrapped on spindles and higher-dimensional orbifolds in [30,31,[34][35][36][37], and the general higher derivative gravitational block formula conjectured in [51] for black holes in AdS 4 and asymptotically flat space. We note that the latter formula was inspired by the localization formula in minimal gauged supergravity in [58].…”

Section: Discussionmentioning

confidence: 99%

“…It is possible that this is a feature of purely magnetically charged black holes in the anti-twist class more generally 35 , i.e. not just in the universal anti-twist class.…”

Section: S 5 Fibred Over a Spindlementioning

confidence: 99%

“…(4.46) of [22] is the same as N in this paper. 35 Indeed, it is challenging to solve the conformal Killing spinor equation on the boundary [22,33].…”

Section: S 5 Fibred Over a Spindlementioning

confidence: 99%

“…This observation was inspired by the factorization of partition functions of N = 2 field theories in d = 3, proven in [46] (for later developments in field theory see also [47][48][49]). In subsequent work [30] it was shown that for the class of explicit supergravity solutions associated with M2 and D3-branes 3 wrapping spindles, obtained by uplifting solutions in D = 4, 5 STU gauged supergravity theories on S 7 , S 5 , respectively, it is possible to write the off-shell trial entropy and trial central charge in the form of gravitational blocks, both for the twist and the anti-twist [30,31,[34][35][36][37]. A closely related type of construction, involving branes wrapped on disks with orbifold singularities, has been presented in [38][39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gravitational Blocks, Spindles and GK Geometry

Boido¹,

Gauntlett²,

Martelli³

et al. 2022

Preprint

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We derive a gravitational block formula for the supersymmetric action for a general class of supersymmetric AdS solutions, described by GK geometry. Extremal points of this action describe supersymmetric AdS 3 solutions of type IIB supergravity, sourced by D3-branes, and supersymmetric AdS 2 solutions of D = 11 supergravity, sourced by M2-branes. In both cases, the branes are also wrapped over a two-dimensional orbifold known as a spindle, or a twosphere. We develop various geometric methods for computing the gravitational block contributions, allowing us to recover previously known results for various explicit supergravity solutions, and to significantly generalize these results to other compactifications. For the AdS 3 solutions we give a general proof that our off-shell supersymmetric action agrees with an appropriate off-shell c-function in the dual field theory, establishing a very general exact result in holography. For the AdS 2 solutions our gravitational block formula allows us to obtain the entropy for supersymmetric, magnetically charged and accelerating black holes in AdS 4 .

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A plethora of Type IIA embeddings for d = 5 minimal supergravity

Couzens

Macpherson

Passias

2023

J. High Energ. Phys.

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We construct multiple embeddings of all solutions of d = 5 minimal (un)gauged supergravity into massive Type IIA supergravity. The internal spaces and warpings of such embeddings are the same as those of the $$ \mathcal{N} $$ N = 1 supersymmetric (Mink5) AdS5 vacua, with the slight modification that the U(1) R-symmetry direction becomes fibered over the external space by the d = 5 gauge field. In addition the fluxes are appropriately modified. There are many distinct types of the aforementioned internal spaces and as such many different embeddings of the d = 5 supergravity. As examples of our setup we provide new solutions dual to six-dimensional, $$ \mathcal{N} $$ N = (1, 0) SCFTs compactified on the product of a constant curvature Riemann surface and a spindle. We also provide a multitude of massive Type IIA embeddings for rotating, asymptotically AdS5 black hole solutions.

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M5-branes and D4-branes wrapped on a direct product of spindle and Riemann surface

Cited by 4 publications

References 49 publications

Leigh-Strassler compactified on a spindle

Leigh-Strassler compactified on a spindle

Gravitational Blocks, Spindles and GK Geometry

A plethora of Type IIA embeddings for d = 5 minimal supergravity

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