Walls from fluxes: An analytic RG-flow

TL;DR

This paper constructs supergravity solutions representing RG flows between different AdS_3 geometries in D1D5 systems with fluxes, revealing how global symmetries are broken and restored in the dual field theory.

Contribution

It provides explicit analytic solutions describing RG flows with fluxes in supergravity, including their global properties and symmetry structure.

Findings

Solutions interpolate between two AdS_3 fixed points

Global isometry group is broken and restored at infinity

Full conformal symmetry with expected central charge is recovered

Abstract

We construct supergravity solutions describing the near horizon limit of D1D5 systems with non-trivial boundary conditions. Upon reduction to five dimensions they define Melvin universes with NS--NS/RR fluxes, that smoothly interpolate between two different AdS_3 geometries which define fixed points for the RG--flow of the dual field theory. We discuss the decoupling limits at the two ends of the flow. We also present a systematic study of the global properties of our solution. In particular we show how, although the AdS_3 x S^3 global isometry group is broken down to SU(2)_R x U(1)^3 by global identifications, a full two-dimensional conformal group of isometries, with the expected central charge, is restored at infinity.