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Janus and RG-flow interfaces from 5D $N = 4$ gauged supergravity

String Theory and Supergravity Group, Department of Physics, Faculty of Science, Chulalongkorn University, 254 Phayathai Road, Pathumwan, Bangkok 10330, Thailand

^*Contact author: parinya.ka@hotmail.com

Phys. Rev. D 111, 126020 – Published 26 June, 2025

DOI: https://doi.org/10.1103/3gxm-pbq7

Abstract

We study five-dimensional $N = 4$ gauged supergravity coupled to three vector multiplets with $S O (2)_{D} \times S O (3)$ gauge group. The gauged supergravity admits two supersymmetric ${AdS}_{5}$ vacua. One of the vacua, at the origin of the scalar manifold $R^{+} \times S O (5, 3) / S O (5) \times S O (3)$ , preserves $N = 4$ supersymmetry and the full $S O (2)_{D} \times S O (3)$ gauge symmetry. The second ${AdS}_{5}$ vacuum is $N = 2$ supersymmetric and invariant under $S O (2)_{diag}$ which is a diagonal subgroup of $S O (2)_{D}$ and $S O (2) \subset S O (3)$ . By considering a truncation to $S O (2)_{diag}$ invariant scalars, we find a class of Janus solutions interpolating among these vacua. These solutions should be holographically dual to conformal interfaces within the dual $N = 1$ and $N = 2$ Superconformal Field Theories (SCFTs) in four dimensions. In addition, we also find examples of solutions describing renormalization group-flow interfaces between $N = 1$ and $N = 2$ Superconformal Field Theories (SCFTs) on each side of the interfaces. All of the solutions could possibly be uplifted to eleven dimensions by a consistent truncation of M-theory on $M_{3} \times S^{2} \times S^{1}$ with a 3-manifold $M_{3}$ .

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Phys. Rev. D 111, 126020– Published 26 June, 2025

Vol. 111, Iss. 12 — 15 June 2025

Received 5 April 2025
Accepted 11 June 2025

DOI: https://doi.org/10.1103/3gxm-pbq7

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Janus and RG-flow interfaces from 5D $N = 4$ gauged supergravity

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Janus and RG-flow interfaces from 5D N=4 gauged supergravity

Abstract

Physics Subject Headings (PhySH)

Article Text

References (57)

Janus and RG-flow interfaces from 5D $N = 4$ gauged supergravity