Abstract
Type IIB S-folds of the form AdS4 × S1 × S5 are conjectured to correspond to new strongly coupled three-dimensional CFT’s on a localised interface of SYM4. In this work we construct holographic RG flows on the D3-brane that generically connect anisotropic deformations of SYM4 in the UV to various S-fold CFT’s in the IR with different amounts of supersymmetry and flavour symmetries. Examples of holographic RG flows between S-fold CFT’s are also presented. Lastly a geometric interpretation of axion deformations is provided in terms of monodromies on the internal S5 when moving around the S1. Special attention is paid to the monodromy-induced patterns of symmetry breaking as classified by the mapping torus Th(S5).
Highlights
First we focus on the issue of anisotropy when the UV regime of the flows is controlled by the deformed D3-brane at c = 0, and discuss global vs. local geometric aspects of the type IIB backgrounds when the axions χ’s are activated, as well as the implications they have for symmetry breaking
We present an example of CFT3 to CFT3 holographic RG flow that connects the J-fold CFT3 with N = 1 & SU(3) symmetry in the UV to the J-fold CFT3 with N = 2 & SU(2) symmetry in the IR
In this work we have investigated various aspects of type IIB S-fold backgrounds by using the [ SO(1, 1) × SO(6) ] R12 gauged maximal supergravity as a four-dimensional effective description thereof and the E7(7)-ExFT as a tool to uplift four-dimensional solutions of said supergravity to ten dimensions
Summary
Electromagnetic duality has and continues to provide plenty of intriguing phenomena both in supergravity and quantum field theory. These vacua of the [SO(1, 1)×SO(6)] R12 maximal supergravity have been uplifted to S-fold backgrounds of type IIB supergravity on AdS4 × S1×S5 that involve non-trivial SL(2, Z)IIB monodromies along S1 in the hyperbolic class [21, 36, 37] — commonly denoted by J ∈ SL(2, Z)IIB — and the corresponding CFT3 duals have been referred to as J-fold CFT3’s in the literature [39] These J-fold CFT3’s and their gravity duals have been investigated using a five-dimensional gauged supergravity approach within the context of holographic interfaces in N = 4 SYM4 [40,41,42], and arise as limiting cases of Janus solutions. Some technicalities regarding group theoretical aspects of the four-dimensional supergravity model and its potential oxidation to five dimensions are collected in the appendix
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