Compactifying 5d superconformal field theories to 3d
arXiv:2105.01497 · doi:10.1007/JHEP09(2021)149
Abstract
Building on recent progress in the study of compactifications of superconformal field theories (SCFTs) on Riemann surfaces to theories, we initiate a systematic study of compactifications of SCFTs on Riemann surfaces to theories. Specifically, we consider the compactification of the so-called rank 1 Seiberg SCFTs on tori and tubes with flux in their global symmetry, and put the resulting theories to various consistency checks. These include matching the (usually enhanced) IR symmetry of the theories with the one expected from the compactification, given by the commutant of the flux in the global symmetry of the corresponding SCFT, and identifying the spectrum of operators and conformal manifolds predicted by the picture. As the models we examine are in three dimensions, we encounter novel elements that are not present in compactifications to four dimensions, notably Chern-Simons terms and monopole superpotentials, that play an important role in our construction. The methods used in this paper can also be used for the compactification of any other SCFT that has a deformation leading to a gauge theory.
arXiv comment85 pages, 16 figures
References in corpus (84)
- Generalized Global Symmetries
- N=2 dualities
- Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
- The Exact Superconformal R-Symmetry Extremizes Z
- Rigid Supersymmetric Theories in Curved Superspace
- Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
- Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
- Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
- Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
- Branes, Superpotentials and Superconformal Fixed Points
- 3d dualities from 4d dualities
- Index for three dimensional superconformal field theories with general R-charge assignments
- Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
- Four-Dimensional SCFTs from M5-Branes
- Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
- IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
- 5-dim Superconformal Index with Enhanced En Global Symmetry
- Small Instantons, del Pezzo Surfaces and Type I' theory
- On Geometric Classification of 5d SCFTs
- Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
- Sicilian gauge theories and N=1 dualities
- Exactly Marginal Deformations and Global Symmetries
- Aspects of 3d N=2 Chern-Simons-Matter Theories
- Deformations of Superconformal Theories
- 3d dualities from 4d dualities for orthogonal groups
- Generalized Superconformal Index for Three Dimensional Field Theories
- Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
- Superconformal indices of three-dimensional theories related by mirror symmetry
- Branes and Six Dimensional Fixed Points
- Higher Form Symmetries and M-theory
- Classifying 5d SCFTs via 6d SCFTs: Arbitrary rank
- Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
- Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
- The superconformal index of N=1 class S fixed points
- Higher-form symmetries of 6d and 5d theories
- More on 5d descriptions of 6d SCFTs
- Brane webs and -planes
- Fiber-Base Duality and Global Symmetry Enhancement
- Classifying 5d SCFTs via 6d SCFTs: Rank one
- SUSY monopole potentials in 2+1 dimensions
- Twisted Circle Compactifications of 6d SCFTs
- E-String Theory on Riemann Surfaces
- Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
- Topologically twisted indices in five dimensions and holography
- Abelianization and Sequential Confinement in dimensions
- 5d Partition Functions with A Twist
- D-type Conformal Matter and SU/USp Quivers
- Compactification of 6d minimal SCFTs on Riemann surfaces
- Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
- Generalized symmetries and holography in ABJM-type theories
- Compactifications of 6d SCFTs with non-trivial Stiefel-Whitney classes
- Rank E-string on a torus with flux
- Compactifications of ADE conformal matter on a torus
- Localization on three-dimensional manifolds
- New aspects of Argyres--Douglas theories and their dimensional reduction
- Instantons, Symmetries and Anomalies in Five Dimensions
- Three-dimensional gauge theories with supersymmetry enhancement
- Symmetry enhancement and closing of knots in 3d/3d correspondence
- 6D attractors and black hole microstates
- Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
- From 3d dualities to 2d free field correlators and back
- From 6d flows to 4d flows
- Various Wrapped Branes from Gauged Supergravities
- Holographic duals of five-dimensional SCFTs on a Riemann surface
- 3d dualities from 2d free field correlators: recombination and rank stabilization
- Sequences of SCFTs on generic Riemann surfaces
- N=1 theories of class S_k
- An introduction to supersymmetric field theories in curved space
- Mirror theories of 3d SQCD
- Curious patterns of IR symmetry enhancement
- Compactifications of 5d SCFTs with a twist
- On the torus compactifications of orbifolds of E-string theories
- Between symmetry and duality in supersymmetric QFT
- Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
- Expanding 3d Theories around the Round Sphere
- Star shaped quivers with flux
- 4d N=1 from 6d N=(1,0) on a torus with fluxes
- Symmetry enhancement and duality walls in 5d gauge theories
- Chiral Compactifications of 6D Conformal Theories
- Non minimal D-type conformal matter compactified on three punctured spheres
- On the classification of 5d SCFTs
- Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours
- Rank E-String on Spheres with Flux
- Sequential deconfinement in gauge theories