Surveying 4d SCFTs twisted on Riemann surfaces

Abstract

Within the framework of four dimensional conformal supergravity we consider $\mathcal{N}=1,2,3,4$ supersymmetric theories generally twisted along the abelian subgroups of the R-symmetry and possibly other global symmetry groups. Upon compactification on constant curvature Riemann surfaces with arbitrary genus we provide an extensive classification of the resulting two dimensional theories according to the amount of supersymmetry that is preserved. Exploiting the c-extremization prescription introduced in arXiv:1211.4030 we develop a general procedure to obtain the central charge for 2d $\mathcal{N}=(0,2)$ theories and the expression of the corresponding R-current in terms of the original 4d one and its mixing with the other abelian global currents.

31 pages, references added, typos fixed and improved discussions

References in corpus (8)

• Four-Dimensional SCFTs from M5-Branes
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• The Cardy limit of the topologically twisted index and black strings in AdS${}_5$
• Chiral 2d Theories from N=4 SYM with Varying Coupling
• (0,2) SCFTs from the Leigh-Strassler Fixed Point
• Supergravity Backgrounds for Four-Dimensional Maximally Supersymmetric Yang-Mills
• Two-dimensional superconformal field theories from Riemann surfaces with boundary

Cited by in corpus (11)

• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Universal RG Flows Across Dimensions and Holography
• N=1 Lagrangians for generalized Argyres-Douglas theories
• $\mathcal{N}=(2,2)$ AdS${}_3$ from D3-branes wrapped on Riemann surfaces
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• S-folds, String Junctions, and 4D $\mathcal{N}=2$ SCFTs
• Trisecting non-Lagrangian theories
• Microstates of rotating AdS${}_5$ strings
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
• AdS${}_5$ black strings in the stu model of FI-gauged $N=2$ supergravity
• From N=2 in four dimensions to (0,2) in two dimensions