Spatially modulated and supersymmetric mass deformations of N=4 SYM
File(s)
Working paper
Author(s)
Arav, Igal
Cheung, KC Matthew
Gauntlett, Jerome P
Roberts, Matthew M
Rosen, Christopher
Type
Working Paper
Abstract
We study mass deformations of $\mathcal{N}=4$, $d=4$ SYM theory that are
spatially modulated in one spatial dimension and preserve some residual
supersymmetry. We focus on generalisations of $\mathcal{N}=1^*$ theories and
show that it is also possible, for suitably chosen supersymmetric masses, to
preserve $d=3$ conformal symmetry associated with a co-dimension one interface.
Holographic solutions can be constructed using $D=5$ theories of gravity that
arise from consistent truncations of $SO(6)$ gauged supergravity and hence type
IIB supergravity. For the mass deformations that preserve $d=3$ superconformal
symmetry we construct a rich set of Janus solutions of $\mathcal{N}=4$ SYM
theory which have the same coupling constant on either side of the interface.
Limiting classes of these solutions give rise to RG interface solutions with
$\mathcal{N}=4$ SYM on one side of the interface and the Leigh-Strassler (LS)
SCFT on the other, and also to a Janus solution for the LS theory. Another
limiting solution is a new supersymmetric $AdS_4\times S^1\times S^5$ solution
of type IIB supergravity.
spatially modulated in one spatial dimension and preserve some residual
supersymmetry. We focus on generalisations of $\mathcal{N}=1^*$ theories and
show that it is also possible, for suitably chosen supersymmetric masses, to
preserve $d=3$ conformal symmetry associated with a co-dimension one interface.
Holographic solutions can be constructed using $D=5$ theories of gravity that
arise from consistent truncations of $SO(6)$ gauged supergravity and hence type
IIB supergravity. For the mass deformations that preserve $d=3$ superconformal
symmetry we construct a rich set of Janus solutions of $\mathcal{N}=4$ SYM
theory which have the same coupling constant on either side of the interface.
Limiting classes of these solutions give rise to RG interface solutions with
$\mathcal{N}=4$ SYM on one side of the interface and the Leigh-Strassler (LS)
SCFT on the other, and also to a Janus solution for the LS theory. Another
limiting solution is a new supersymmetric $AdS_4\times S^1\times S^5$ solution
of type IIB supergravity.
Date Issued
2020-11-21
Citation
2020
Publisher
arXiv
Copyright Statement
© 2020 The Author(s).
Sponsor
Commission of the European Communities
Science and Technology Facilities Council (STFC)
Identifier
http://arxiv.org/abs/2007.15095v2
Grant Number
339140
ST/P000762/1
Subjects
hep-th
hep-th
Notes
78 pages, 19 figures. Minor changes, references added
Publication Status
Published