Supersymmetric RG flows and Janus from type II orbifold compactification

Parinya Karndumri; Khem Upathambhakul

doi:10.1140/epjc/s10052-017-5022-3

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2017) 77: 455
https://doi.org/10.1140/epjc/s10052-017-5022-3

Regular Article - Theoretical Physics

Supersymmetric RG flows and Janus from type II orbifold compactification

Parinya Karndumri^* and Khem Upathambhakul

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

^* e-mail: parinya.ka@hotmail.com

Received: 28 April 2017
Accepted: 23 June 2017
Published online: 7 July 2017

Abstract

We study holographic RG flow solutions within four-dimensional $$N=4$$ gauged supergravity obtained from type IIA and IIB string theories compactified on $T^6/\mathbb {Z}_2\times \mathbb {Z}_2$ orbifold with gauge, geometric and non-geometric fluxes. In type IIB non-geometric compactifications, the resulting gauged supergravity has $ISO(3)\times ISO(3)$ gauge group and admits an $$N=4$$ $\mathrm{AdS}_4$ vacuum dual to an $$N=4$$ superconformal field theory (SCFT) in three dimensions. We study various supersymmetric RG flows from this $$N=4$$ SCFT to $$N=4$$ and $$N=1$$ non-conformal field theories in the IR. The flows preserving $$N=4$$ supersymmetry are driven by relevant operators of dimensions $\Delta =1,2$ or alternatively by one of these relevant operators, dual to the dilaton, and irrelevant operators of dimensions $\Delta =4$ while the $$N=1$$ flows in addition involve marginal deformations. Most of the flows can be obtained analytically. We also give examples of supersymmetric Janus solutions preserving $$N=4$$ and $$N=1$$ supersymmetries. These solutions should describe two-dimensional conformal defects within the dual $$N=4$$ SCFT. Geometric compactifications of type IIA theory give rise to $$N=4$$ gauged supergravity with $ISO(3)\ltimes U(1)^6$ gauge group. In this case, the resulting gauged supergravity admits an $$N=1$$ $\mathrm{AdS}_4$ vacuum. We also numerically study possible $$N=1$$ RG flows to non-conformal field theories in this case.