AdS3 from M-branes at conical singularities

Giuseppe Dibitetto,Nicolò Petri

doi:10.1007/jhep01(2021)129

Giuseppe Dibitetto, Nicolò Petri

Open Access

https://doi.org/10.1007/jhep01(2021)129

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Abstract

M-theory is known to possess supersymmetric solutions where the geometry is AdS3 × S3 × S3 warped over a Riemann surface Σ2. The simplest examples in this class can be engineered by placing M2 and M5 branes as defects inside of a stack of background M5 branes. In this paper we show that a generalization of this construction yields more general solutions in the aforementioned class. The background branes are now M5’s carrying M2 brane charge, while the defect branes are now placed at the origin of a flat hyperplane with a conical defect. The equations of motion imply a relation between the deficit angle produced by the conical defect and the M2 charge carried by the background branes.

Highlights

M-theory is known to possess supersymmetric solutions where the geometry is AdS3 × S3 × S3 warped over a Riemann surface Σ2
The equations of motion imply a relation between the deficit angle produced by the conical defect and the M2 charge carried by the background branes
The corresponding geometry is given by AdS3 × S3/Zk × CY2 × I with warping w.r.t. the interval I, where special situations where k = 1 and/or CY2 = R4 describe cases with enhanced supersymmetry

Summary

Review of M2–M5–M5 brane systems

We summarize the results of [25] where N = (0, 4) AdS3×S3/Zk×S3/Zk ×Σ2 string backgrounds of M-theory have been obtained as near-horizon regime of “defect” M2– M5 branes ending on a stack of orthogonal M5 branes with both the 5-branes placed at A-type singularities These near-horizon geometries turn out to belong to a sub-class within the general classification of N = (0, 4) AdS3 × S3/Zk × CY2 × I solutions presented in [24] and provide, for this sub-class, a clear interpretation in terms of non-perturbative objects. Where ds2R4 = dρ2 + ρ2 ds2S3 and the function H is a harmonic function on the 5d flat transverse space of the M5 branes parametrized by (ρ, z) In this regime the solution enhances its supersymmetry to supercharges preserved In what follows we will always consider M-branes intersections that do not include KK monopoles, but that allows their inclusion as an immediate generalization following the aformentioned prescriptions

The new ingredients: the M5ξ brane and conical defects

The full solution and its limits