3 Jun 2024 | Dimitrios Chatzis¹, Ali Fatemiabhari², Carlos Nunez³ and Peter Weck⁴
This paper presents a holographic method for implementing a supersymmetry-preserving deformation to 4d superconformal field theories (SCFTs). The method is based on a soliton solution of minimal d=5 gauged supergravity, which is embedded into ten- and eleven-dimensional string theory backgrounds of the form $ AdS_5 \times M $. This construction systematically generates new solutions, each holographically realizing a twisted compactification of the dual SCFT. In the infrared, the resulting SQFTs flow to gapped three-dimensional systems. The paper provides evidence for this interpretation and for confinement in the deformed SQFTs using various holographic observables. The method applies to any holographic solutions that admit a consistent truncation to minimal d=5 gauged supergravity and can likely be generalized to solutions with other $ AdS_d $ factors. The paper discusses the deformation procedure in detail for different string theory backgrounds, including Type IIB, Type IIA, and 11d supergravity. It also presents a variety of holographic observables, such as Wilson loops, 't Hooft loops, entanglement entropy, and gauge coupling, to study the properties of the deformed SQFTs. The paper concludes with a discussion of the results and several appendices containing additional technical details.This paper presents a holographic method for implementing a supersymmetry-preserving deformation to 4d superconformal field theories (SCFTs). The method is based on a soliton solution of minimal d=5 gauged supergravity, which is embedded into ten- and eleven-dimensional string theory backgrounds of the form $ AdS_5 \times M $. This construction systematically generates new solutions, each holographically realizing a twisted compactification of the dual SCFT. In the infrared, the resulting SQFTs flow to gapped three-dimensional systems. The paper provides evidence for this interpretation and for confinement in the deformed SQFTs using various holographic observables. The method applies to any holographic solutions that admit a consistent truncation to minimal d=5 gauged supergravity and can likely be generalized to solutions with other $ AdS_d $ factors. The paper discusses the deformation procedure in detail for different string theory backgrounds, including Type IIB, Type IIA, and 11d supergravity. It also presents a variety of holographic observables, such as Wilson loops, 't Hooft loops, entanglement entropy, and gauge coupling, to study the properties of the deformed SQFTs. The paper concludes with a discussion of the results and several appendices containing additional technical details.