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Zoo of flows in a 3D gauged supergravity with a periodic potential

Lev Astrakhantsev1,2,*, Anastasia A. Golubtsova1,†, and Mikhail A. Podoinitsyn1,‡

  • *Contact author: levastr@theor.jinr.ru, lev.astrakhantsev@phystech.su
  • †Contact author: golubtsova@theor.jinr.ru
  • ‡Contact author: mpod@theor.jinr.ru
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Phys. Rev. D 114, 026009 – Published 6 July, 2026

DOI: https://doi.org/10.1103/mzdz-33s5

Abstract

In this paper we construct solutions with AdS/dS asymptotics for D=3 truncated gauged supergravity with a periodic scalar potential. In a holographic perspective, assuming Dirichlet boundary conditions, the solutions can be interpreted as deformations of two-dimensional dual conformal field theories triggered by nonzero vacuum expectation values (VEVs) of irrelevant operators. In addition to the domain-wall-type solutions, we incorporated in the analysis a black string solution, which can also be interpreted as a deformation by VEV of an irrelevant operator. Generalizing the flows to finite temperature, we find that the corresponding geometries are singular but have horizons. For certain flows, we provide an analytical description near the horizon region. For an exact renormalization group (RG) flow solution, we explicitly compute the Brown-York stress-energy tensor on a cutoff surface and show that the TT¯ operator factorizes along the holographic RG flow. We also define an effective, scale-dependent deformation parameter μ(ϕ), whose running is governed by the scalar field at the cutoff.

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Phys. Rev. D 114, 026009– Published 6 July, 2026
  • Received 27 February 2026
  • Accepted 13 May 2026
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