Abstract
We study a number of supersymmetric solutions in the form of $Mkw_3\times S^3$- and $AdS_3\times S^3$-sliced domain walls in the maximal gauged supergravity in seven dimensions. These solutions require non-vanishing three-form fluxes to support the $AdS_3$ and $S^3$ subspaces. We consider solutions with $SO(4)$, $SO(3)$, $SO(2)\times SO(2)$ and $SO(2)$ symmetries in $CSO(p,q,5-p-q)$, $CSO(p,q,4-p-q)$ and $SO(2,1)\ltimes \mathbf{R}^4$ gauge groups. All of these solutions can be analytically obtained. For $SO(5)$ and $CSO(4,0,1)$ gauge groups, the complete truncation ansatze in terms of eleven-dimensional supergravity on $S^4$ and type IIA theory on $S^3$ are known. We give the full uplifted solutions to eleven and ten dimensions in this case. The solutions with an $AdS_3\times S^3$ slice are interpreted as two-dimensional surface defects in six-dimensional $N=(2,0)$ superconformal field theory in the case of $SO(5)$ gauge group or $N=(2,0)$ nonconformal field theories for other gauge groups. For $SO(4)$ symmetric solutions, it is possible to find solutions with both the three-form fluxes and $SO(3)$ gauge fields turned on. However, in this case, the solutions can be found only numerically. For $SO(3)$ symmetric solutions, the three-form fluxes and $SO(3)$ gauge fields cannot be non-vanishing simultaneously.
Highlights
Gauged supergravities in various spacetime dimensions have become a useful tool for studying different aspects of the AdS=CFT correspondence [1,2,3] and the DW/QFT correspondence [4,5,6]
For similar solutions in the matter-coupled N 1⁄4 2 gauged supergravity. Some of these solutions have been interpreted as surface defects within N 1⁄4 ð1; 0Þ superconformal field theory (SCFT) in six dimensions in [14]; see [15,16] for similar solutions in six dimensions and [17,18,19,20,21,22] for examples of another holographic description of conformal defects in terms of Janus solutions
We mainly focus on the bosonic Lagrangian and fermionic supersymmetry transformations that are relevant for finding supersymmetric solutions
Summary
Gauged supergravities in various spacetime dimensions have become a useful tool for studying different aspects of the AdS=CFT correspondence [1,2,3] and the DW/QFT correspondence [4,5,6]. Some of these solutions have been interpreted as surface defects within N 1⁄4 ð1; 0Þ superconformal field theory (SCFT) in six dimensions in [14]; see [15,16] for similar solutions in six dimensions and [17,18,19,20,21,22] for examples of another holographic description of conformal defects in terms of Janus solutions We will find these Mkw3 × S3- and AdS3 × S3-sliced domain walls in the maximal N 1⁄4 4 gauged supergravity with various types of gauge groups. We will mainly consider uplifted solutions from these two gauge groups using the truncation ansatze given in [29,30,31], which are more useful for solutions involving two- and three-form fields in seven dimensions. All bosonic field equations of the maximal gauged supergravity and consistent truncation ansatze for 11-dimensional supergravity on S4 and type IIA theory on S3 are given
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
