M-brane interpolations and (2,0) Renormalization Group flow

TL;DR

This paper constructs supergravity solutions describing M-brane bound states that interpolate between different vacua, shedding light on the renormalization group flow of six-dimensional (2,0) theories.

Contribution

It provides explicit M5-M2-MW bound state solutions in 11D supergravity that connect AdS and Minkowski spacetimes, illustrating RG flow in (2,0) theories.

Findings

Solutions interpolate between $adS_7\times S^4$ and Minkowski spacetime.

Implications for the RG flow of (2,0) D=6 field theories.

Supports the holographic understanding of (2,0) theory dynamics.

Abstract

We obtain the M5-M2-MW bound state solutions of 11-dimensional supergravity corresponding to the 1/2 supersymmetric vacua of the M5-brane equations with constant background fields. In the `near-horizon' case the solution interpolates between the $adS_7\times S^4$ Kaluza-Klein vacuum and D=11 Minkowski spacetime via a Domain Wall spacetime. We discuss implications for renormalization group flow of (2,0) D=6 field theories.