Symmetry breaking and consistent truncations from M5-branes wrapping a disc

Abstract

We construct new supersymmetric solutions corresponding to M5-branes wrapped on a topological disc by turning on additional scalars in the background. The presence of such scalar fields breaks one of the U(1) isometries of the internal space, explicitly realising the breaking by the Stückelberg mechanism observed previously. In addition, we construct a consistent truncation of maximal seven-dimensional gauged supergravity on the disc to five-dimensional Romans’ SU(2) × U(1) gauged supergravity, allowing us to construct a plethora of new supergravity solutions corresponding to more general states in the dual SCFTs as well as solutions corresponding to M5-branes wrapping four-dimensional orbifolds.

D6 branes wrapped on a spindle and Yp,q manifolds

“…In particular, it would be interesting to find Sasaki-Einstein metrics that arise from fibrations over four-dimensional orbifolds. Examples of these that have been recently introduced are fibrations of a spindle over another spindle [45][46][47] or the quadrilaterals of [48]. Similarly, supersymmetric reductions Kähler metrics on WCP 2 have already appeard in [4] and, more recently, in [49,54].…”

“…It is interesting to compare this to other solutions describing branes wrapped on the product between spindles and Riemann surfaces that have appeared in the literature [45][46][47]. In those cases, the spindle is always fibered over the Riemann surface, which is different from the…”

“…In this paper we study D6 branes wrapped on two-dimensional orbifolds, which allows us to recover known metrics on Sasaki-Einstein manifolds from a new perspective. It would be interesting to extend this construction to D6 branes wrapped on more general orbifolds, such as the four-dimensional orbifolds given by spindle fibrations over other spindles (Σ 1 ⋉ Σ 2 ) studied in [45][46][47], or the more recently introduced quadrilaterals [48]. If such solutions exist in the truncation of 11d supergravity that only contains field sourcing the 11d metric (and not the 11d four-form), then their uplift would automatically give potentially new Sasaki-Einstein metrics.…”

“…Some of the simplest examples of GK geometries where the metrics are explicitly known have been recently revisited and interpreted as describing a situation in which branes are wrapped on two-dimensional orbifolds known as spindles, originally found for D3 branes [14]. Ever since, solutions describing branes wrapping spindles have been found in a large variety of examples [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] and generalized to other two- [33][34][35][36][37][38][39][40][41][42] and higher-dimensional [43][44][45][46][47][48][49] orbifolds.…”

Holographic Weyl anomalies for 4d defects in 6d SCFTs

“…Ordinarily in 4d SCFTs, there are non-perturbative formulae that relate the A-type and B-type Weyl anomalies to 't Hooft anomalies for the superconformal R symmetry [38]. In [73], it was conjectured that a Σ obeys the same relation to defect Ranomalies as a standalone theory: 18 a Σ = 9k rrr − 3k r 32 , (6.6) 16 In light of the compact LLM-type solutions found recently in [81] where the additional internal U(1)…”