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Two-dimensional SCFTs from D3-branes

Francesco Benini, Nikolay Bobev, P. Marcos Crichigno

Abstract

We find a large class of two-dimensional $\mathcal{N}=(0,2)$ SCFTs obtained by compactifying four-dimensional $\mathcal{N}=1$ quiver gauge theories on a Riemann surface. We study these theories using anomalies and $c$-extremization. The gravitational duals to these fixed points are new AdS$_3$ solutions of IIB supergravity which we exhibit explicitly. Along the way we uncover a universal relation between the conformal anomaly coefficients of four-dimensional and two-dimensional SCFTs connected by an RG flow across dimensions. We also observe an interesting novel phenomenon in which the superconformal R-symmetry mixes with baryonic symmetries along the RG flow.

Two-dimensional SCFTs from D3-branes

Abstract

We find a large class of two-dimensional SCFTs obtained by compactifying four-dimensional quiver gauge theories on a Riemann surface. We study these theories using anomalies and -extremization. The gravitational duals to these fixed points are new AdS solutions of IIB supergravity which we exhibit explicitly. Along the way we uncover a universal relation between the conformal anomaly coefficients of four-dimensional and two-dimensional SCFTs connected by an RG flow across dimensions. We also observe an interesting novel phenomenon in which the superconformal R-symmetry mixes with baryonic symmetries along the RG flow.

Paper Structure

This paper contains 37 sections, 212 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Field theory
  3. $Y^{p,q}$ quivers
  4. 2d central charges
  5. $Y^{p,0}$ on $\Sigma_{\mathfrak{g}\neq 1}$
  6. $Y^{p,0}$ on $T^{2}$
  7. Special twists.
  8. $Y^{p,p}$ on $\Sigma_{\mathfrak{g}\neq 1}$
  9. $Y^{p,p}$ on $T^{2}$
  10. Special twists.
  11. $Y^{p,q}$ on $T^{2}$
  12. $Y^{p,q}$ on $\Sigma_{\mathfrak{g}\neq 1}$
  13. A universal RG flow across dimensions
  14. D3-branes at del Pezzo singularities
  15. Supergravity solutions
  16. ...and 22 more sections

Figures (2)

  • Figure 1: In blue, the regions in the $(b_2,pB)$-plane where the central charge for $Y^{p,0}$ with $b_1=0$ is positive. The cases $\kappa=\{1,0,-1\}$ are presented from left to right and the horizontal and vertical axes represent $b_2$ and $pB$ respectively.
  • Figure 2: In blue, the regions in the $(b_2,pB)$-plane where the central charge for $Y^{p,p}$ with $b_{1}=0$ is positive. The cases $\kappa=\{1,0,-1\}$ are presented from left to right.