M5-brane sources, holography, and Argyres-Douglas theories

123

In the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spinc spinors on a spindle with an azimuthal rotation symmetry we show that under rather general conditions there are just two possibilities, called the ‘twist’ and the ‘anti-twist’, which are determined by the quantized magnetic flux through the spindle. A special case of the twist is the standard topological twist which is associated with constant and chiral spinors. We construct solutions of D = 5 and D = 4 STU gauged supergravity theories that are dual to D3-branes and M2-branes wrapping spindles, respectively, which realize both the anti-twist, as seen before, but also the twist. For the wrapped D3-brane solutions we reproduce the central charge of the gravity solution from the dual field theory by analysing the anomaly polynomial of $$ \mathcal{N} $$ N = 4 SYM theory. We also discuss M5-branes wrapped on spindles both from a gravity and a field theory point of view.

Section: Jhep01(2022)102mentioning

confidence: 99%

Section: The D = 5 Gauged Supergravity Modelmentioning

confidence: 99%

See 1 more Smart Citation

Supersymmetric spindles

Ferrero

Gauntlett

Sparks

2022

123

“…Namely, the background R-symmetry gauge field is identified with a connection on the tangent bundle of the spindle, as for the topological twist, but the corresponding local curvatures are not equal. It turns out that these local solutions comprising spindles contain, as interesting degenerate limits, solutions corresponding to branes wrapped on disks or Riemann surfaces with non-constant curvature [13][14][15][16][17][18].…”

Section: Jhep02(2022)101mentioning

confidence: 99%

D4-branes wrapped on a spindle

Faedo

Martelli

2022

We construct supersymmetric "Image missing"solutions of D = 6 gauged supergravity, where "Image missing" is a two-dimensional orbifold known as a spindle. These uplift to solutions of massive type IIA supergravity using a general prescription, that we describe. We argue that these solutions correspond to the near-horizon limit of a system of Nf D8-branes, together with N D4-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. The dual field theories are d = 3, $$ \mathcal{N} $$ N = 2 SCFTs that arise from a twisted compactification of the d = 5, $$ \mathcal{N} $$ N = 1 USp(2N) gauge theory. We show that the holographic free energy associated to these solutions is reproduced by extremizing an off- shell free energy, that we conjecture to arise in the large N limit of the localized partition function of the d = 5 theories on "Image missing". We formulate a universal proposal for a class of off-shell free energies, whose extremization reproduces all previous results for branes wrapped on spindles, as well as on genus g Riemann surfaces Σg. We further illustrate this proposal discussing D4-branes wrapped on "Image missing", for which we present a supersymmetric "Image missing" solution of D = 6 gauged supergravity along with the associated entropy function.

“…The theories of class S study the twisted compactification of the 6d (2, 0) SCFT living on M5-branes on a punctured Riemann surface [3] preserving N = 2 supersymmetry in four dimensions. These were later extended to theories preserving N = 1 supersymmetry in four dimensions in [4][5][6][7] and the holographic dual of Argyres-Douglas theories in [8,9]. Theories of class R study the compactification of the 6d (2, 0) A N −1 theory on hyperbolic three-manifolds, [10].…”

Section: Introductionmentioning

confidence: 99%

$$ \mathcal{N} $$ = (2, 2) AdS3 from D3-branes wrapped on Riemann surfaces

Couzens

Macpherson

Passias

2022

We construct $$ \mathcal{N} $$ N = (2, 2) supersymmetric AdS3 solutions of type IIB supergravity, dual to twisted compactifications of 4d $$ \mathcal{N} $$ N = 4 super-Yang-Mills on Riemann surfaces. We consider both theories with a regular topological twist, and a twist involving the isometry group of the Riemann surface. These solutions are interpreted as the near-horizon of black strings asymptoting to AdS5× S5. As evidence for the proposed duality we compute the central charge of the gravity solutions and show that it agrees with the field theory result.