Abstract

We find a new supersymmetric solution of type IIB supergravity which is the uplift of the GPPZ solution of maximal SO(6) gauged supergravity in five dimensions. This background is expected to be holographically dual to an mathcal{N}={1}^{ast } supersymmetric mass deformation of four-dimensional mathcal{N}=4 SYM. The ten-dimensional solution is singular in the region corresponding to the IR regime of the dual gauge theory and we discuss the physics of the singularity in some detail.

Highlights

  • JHEP10(2018)058 new type IIB supergravity backgrounds by uplifting any solution of the five-dimensional gauged supergravity

  • The ten-dimensional solution is singular in the region corresponding to the IR regime of the dual gauge theory and we discuss the physics of the singularity in some detail

  • As expected from the original five-dimensional construction in [15] our ten-dimensional solution preserves an SO(3) symmetry realized as an isometry of the squashed S5 internal space

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Summary

The five-dimensional solution

GYM is the Yang-Mills coupling, f abc are the structure constants of the gauge group and summation over repeated indices is assumed This mass deformation of N = 4 SYM is sometimes referred to as N = 1∗ this nomenclature is imperfect since we have three independent complex mass parameters in the superpotential in (2.1) and a three-parameter family of theories. This theory has a rich space of discrete supersymmetric vacua which has been studied in many references, see for example [18, 20,21,22]. We proceed to summarize this symmetry enhancement as it is valuable when one studies the supergravity dual of this gauge theory

The consistent truncation
The GPPZ solution The Lagrangian of our four-scalar truncation is5
The ten-dimensional solution
Explicit uplift of GPPZ
Massless limit
Vanishing gaugino vev limit
Zooming on the singularity
Discussion
Full Text
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