Twisted compactifications and conformal defects from ISO(3)U(1) F(4) gauged supergravity

Parinya Karndumri

doi:10.1140/epjc/s10052-025-13910-x

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 187
https://doi.org/10.1140/epjc/s10052-025-13910-x

Regular Article - Theoretical Physics

Twisted compactifications and conformal defects from ISO(3) $\times$ $\times$ U(1) F(4) gauged supergravity

Parinya Karndumri^a

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

^a parinya.ka@hotmail.com

Received: 14 November 2024
Accepted: 6 February 2025
Published online: 15 February 2025

Abstract

We study holographic solutions describing RG flows across dimensions from five-dimensional $N = 2$ $$N=2$$ SCFT to SCFTs in three and two dimensions using matter-coupled F(4) gauged supergravity with $I S O (3) \times U (1)$ $ISO(3)\times U(1)$ gauge group. By performing topological twists implemented by SO(2), $S O (2) \times S O (2)$ $SO(2)\times SO(2)$ and SO(3) gauge fields, we find a number of $A d S_{4} \times H^{2}$ $AdS_4\times H^2$ and $A d S_{3} \times H^{3}$ $AdS_3\times H^3$ solutions preserving eight and four supercharges. These geometries are identified with conformal fixed points in three and two dimensions, respectively. The corresponding flow solutions are obtained numerically and can be interpreted as black membranes and black strings in asymptotically $A d S_{6}$ $$AdS_6$$ space. In addition, we have constructed charged domain wall solutions with $A d S_{2} \times S^{3}$ $AdS_2\times S^3$ and $A d S_{3} \times S^{2}$ $AdS_3\times S^2$ slicing. These solutions are supported by a non-vanishing two-form field and describe conformal line and surface defects within the $N = 2$ $$N=2$$ SCFT in five dimensions, respectively. All of these solutions can be uplifted to type IIB theory via consistent truncations on $S^{2} \times Σ$ $S^2\times \Sigma$ with $Σ$ $\Sigma$ being a Riemann surface.

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