vacua and holographic RG flows from 5D gauged supergravity

Parinya Karndumri

doi:10.1140/epjc/s10052-023-11318-z

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 164
https://doi.org/10.1140/epjc/s10052-023-11318-z

Regular Article - Theoretical Physics

$A d S_{5}$ vacua and holographic RG flows from 5D $N = 4$ 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: 23 October 2022
Accepted: 12 February 2023
Published online: 21 February 2023

Abstract

We study five-dimensional $N = 4$ $$N=4$$ gauged supergravity coupled to five vector multiplets with $S O {(2)}_{D} \times S O (3) \times S O (3)$ $SO(2)_D\times SO(3)\times SO(3)$ gauge group. There are four supersymmetric $A d S_{5}$ $$AdS_5$$ vacua in the truncation to $S O {(2)}_{diag}$ $SO(2)_{\text {diag}}$ invariant scalars. Two of these vacua preserve the full $N = 4$ $$N=4$$ supersymmetry with $S O {(2)}_{D} \times S O (3) \times S O (3)$ $SO(2)_D\times SO(3)\times SO(3)$ and $S O {(2)}_{D} \times S O {(3)}_{diag}$ $SO(2)_D\times SO(3)_{\text {diag}}$ symmetries. These have an analogue in $N = 4$ $$N=4$$ gauged supergravity with $S O (2) \times S O (3) \times S O (3)$ $SO(2)\times SO(3)\times SO(3)$ gauge group. The other two $A d S_{5}$ $$AdS_5$$ vacua preserve only $N = 2$ $$N=2$$ supersymmetry with $S O {(2)}_{diag} \times S O (3)$ $SO(2)_{\text {diag}}\times SO(3)$ and $S O {(2)}_{diag}$ $SO(2)_{\text {diag}}$ symmetry. The former has an analogue in the previous study of $S O {(2)}_{D} \times S O (3)$ $SO(2)_D\times SO(3)$ gauge group while the latter is a genuinely new $N = 2$ $$N=2$$ $A d S_{5}$ $$AdS_5$$ vacuum. These vacua should be dual to $N = 2$ $$N=2$$ and $N = 1$ $$N=1$$ superconformal field theories (SCFTs) in four dimensions with different flavour symmetries. We give the full scalar mass spectra at all of the $A d S_{5}$ critical points which provide information on conformal dimensions of the dual operators. Finally, we study holographic RG flows interpolating between these $A d S_{5}$ $$AdS_5$$ vacua and find a new class of solutions. In addition to the RG flows from the trivial $S O {(2)}_{D} \times S O (3) \times S O (3)$ $SO(2)_D\times SO(3)\times SO(3)$ $N = 4$ $$N=4$$ critical point, at the origin of the scalar manifold, to all the other critical points, there is a family of RG flows from the trivial $N = 4$ $$N=4$$ critical point to the new $S O {(2)}_{diag}$ $SO(2)_{\text {diag}}$ $N = 2$ $$N=2$$ critical point that pass arbitrarily close to the $S O {(2)}_{D} \times S O {(3)}_{diag}$ $SO(2)_D\times SO(3)_{\text {diag}}$ $N = 4$ $$N=4$$ critical point.

© The Author(s) 2023

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