Twisted D3-brane and M5-brane compactifications from multi-charge spindles

TL;DR

This paper constructs new supersymmetric AdS3 solutions in string and M-theory, representing wrapped branes on spindle and Riemann surfaces, and confirms their duality with specific 2D superconformal field theories through matching central charges.

Contribution

It introduces novel families of supersymmetric AdS3 solutions involving multi-charge spindle compactifications, expanding the landscape of holographic duals for 2D SCFTs.

Findings

Solutions describe near-horizon limits of wrapped D3- and M5-branes.

Central charges match between gravity solutions and field theory.

Provides geometric interpretation of dual SCFTs.

Abstract

We construct families of supersymmetric AdS$_3\times Y_7$ and AdS$_3\times Y_8$ solutions to type IIB string theory and M-theory, respectively. Here $Y_7$ is an $S^5$ fibration over $\Sigma$, while $Y_8$ is an $S^4$ fibration over $\Sigma_g\times \Sigma$, where $\Sigma_g$ is a Riemann surface of genus $g>1$ and $\Sigma$ is a two-dimensional orbifold known as a spindle. We interpret the solutions as near-horizon limits of $N$ D3-branes wrapped on $\Sigma$ and $N$ M5-branes wrapped on $\Sigma_g\times \Sigma$, respectively. These are holographically dual to $d=2$, $(0,2)$ SCFTs, and we show that the central charge and superconformal R-symmetry of the gravity solutions agree with dual field theory calculations.