Holographic duals of M5-branes on an irregularly punctured sphere

We construct supersymmetric AdS5 × Σ solutions of D = 7 gauged supergravity, where Σ is a two-dimensional orbifold known as a spindle. These uplift on S4 to solutions of D = 11 supergravity which have orbifold singularites. We argue that the solutions are dual to d = 4, $$ \mathcal{N} $$ N = 1 SCFTs that arise from N M5-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. In contrast to the usual topological twist solutions, the superconformal R-symmetry mixes with the isometry of the spindle in the IR, and we verify this via a field theory calculation, as well as reproducing the gravity formula for the central charge.

Section: Introductionmentioning

confidence: 99%

M5-branes wrapped on a spindle

Ferrero

Gauntlett

Martelli

et al. 2021

“…Soon after, accelerating black holes in AdS 4 were shown to exhibit spindle horizons, corresponding to a full 11d solution of M2 branes wrapping spindles, [3]. Various generalizations followed these initial constructions, such as that were all focused on spindles or related disks, [25][26][27][28][29][30][31][32][33], in truncations of the maximal supergravities admitting AdS vacuum, and their field theory duals. See also [34,35].…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Spindle black holes in AdS4 × SE7

Hristov,

Suh

2023

We construct new classes of supersymmetric AdS2 × Σ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with Σ the complex weighted projective space known as a spindle. These solutions can be viewed as near-horizon geome- tries of asymptotically Anti de-Sitter (AdS4) black holes with magnetic fluxes that admit embedding in 11d on Sasaki-Einstein (SE7) manifolds, which renders them of holographic interest. We show that in each case the Bekenstein-Hawking entropy follows from the procedure of gluing two gravitational blocks, ultimately determined by SE7 data. This allows us to establish the general form of the gravitational blocks in gauged 4d $$ \mathcal{N} $$ N = 2 supergravity with charged scalars and massive vectors. Holographically, our results provide a large N answer for the spindle index with anti-twist and additional mesonic or baryonic fluxes of a number of $$ \mathcal{N} $$ N = 2 Chern-Simons-matter theories.

“…This formula had been used to find the holographic central charge dual to electrostatic solutions with compact internal space engineering irregular punctures [18,71]. Despite the integrals in eqs.…”

Section: Jhep04(2024)120mentioning

confidence: 99%

Holographic Weyl anomalies for 4d defects in 6d SCFTs

Capuozzo,

Estes,

Robinson

et al. 2024

In this note, we study 1/4- and 1/2-BPS co-dimension two superconformal defects in the 6d $$ \mathcal{N} $$ N = (2, 0) AN−1 SCFT at large N using their holographic descriptions as solutions of 11d supergravity. In this regime, we are able to compute the defect contribution to the sphere entanglement entropy and the change in the stress-energy tensor one-point function due to the presence of the defect using holography. From these quantities, we are then able to unambiguously compute the values for two of the twenty-nine total Weyl anomaly coefficients that characterize 4d conformal defects in six and higher dimensions. We are able to demonstrate the consistency of the supergravity description of the defect theories with the average null energy condition on the field theory side. For each class of defects that we consider, we also show that the A-type Weyl anomaly coefficient is non-negative. Lastly, we uncover and resolve a discrepancy between the on-shell action of the 7d 1/4-BPS domain wall solutions and that of their 11d uplift.