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Marginal deformations and RG flows for type IIB S-folds

2021/03/31 by Igal Arav, Jerome P. Gauntlett, Matthew M. Roberts +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Conformal map #Construct (python library) #Dual (grammatical number) #Geometric and Algebraic Topology #Geometry and complex manifolds #Manifold (fluid mechanics) #Monodromy #String (physics) #String theory #Type (biology) #hep-th

paper · pdf · doi:10.1007/jhep07(2021)151

49 pages, 8 figures. Typos in table 4 corrected. Published version

openalex created_date 2021/04/13 · openalex publication_date 2021/07/01 · arxiv created 2021/07/07 · arxiv updated 2021/08/04 · openalex updated_date 2026/08/05

Abstract

A bstract We construct a continuous one parameter family of AdS 4 × S 1 × S 5 S-fold solutions of type IIB string theory which have nontrivial SL(2 , ℤ) monodromy in the S 1 direction. The solutions span a subset of a conformal manifold that contains the known N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 S-fold SCFT in d = 3, and generically preserve N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 supersymmetry. We also construct RG flows across dimensions, from AdS 5 × S 5 , dual to N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4, d = 4 SYM compactified with a twisted spatial circle, to various AdS 4 ×S 1 ×S 5 S-fold solutions, dual to d = 3 SCFTs. We construct additional flows between the AdS 5 dual of the Leigh-Strassler SCFT and an N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 S-fold as well as RG flows between various S-folds.

Citations