Abstract

We study supersymmetric intersections of NS5-, D6- and D8-branes in type IIA string theory. We focus on the supergravity description of this system and identify a “near horizon” limit in which we recover the recently classified supersymmetric seven-dimensional AdS solutions of massive type IIA supergravity. Using a consistent truncation to seven-dimensional gauged supergravity we construct a universal supersymmetric deformation of these AdS vacua. In the holographic dual six-dimensional (1,0) superconformal field theory this deformation describes a universal RG flow on the tensor branch of the vacuum moduli space triggered by a vacuum expectation value for a protected scalar operator of dimension four.

Highlights

  • Our interest here is in the class of linear quiver six-dimensional SCFTs introduced in [2, 3] and explored recently with new tools by Gaiotto and Tomasiello [7]

  • In addition to understanding how the AdS7 solutions of [8] arise as the particular brane intersections suggested by the field theory construction of [7] a further motivation for our work is to study supersymmetric deformations of these six-dimensional SCFTs using holography

  • In harmony with the results in [21] we find that the only possible supersymmetric and Lorentz-invariant deformation of the N = (1, 0) SCFT at hand is realized by turning on a vacuum expectation value for this operator

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Summary

Brane intersections and six-dimensional SCFTs

Many such NS5-branes with generic values of these real vevs This situation corresponds to a general point on the tensor branch of the six-dimensional theory and is illustrated by the diagram in figure 1. When the NS5-branes coincide all the tensor multiplet scalars have a vanishing vev and one is at the origin of the tensor branch where it is expect that a strongly interacting SCFT resides.4 This is illustrated by the diagram in figure 2. This direction is singled out since it is parametrized by the vev for the dimension 4 scalar operator O discussed above.

Supergravity description
AdS7 solutions
Holographic RG flows
25. Without loss of generality we can choose
Uplift to eleven dimensions
Uplift to type IIA supergravity
Conclusions
A Conventions and notation
B General AdS7 solutions of type IIA supergravity
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