<p>Twisted holography captures protected aspects of well-known holographic dualities. We show how an holographic dual B-model background can be systematically derived from the ’t Hooft expansion of the chiral algebras associated to four-dimensional 𝒩 = 2 superconformal quiver gauge theories. A crucial tool is the match of planar BRST anomalies in the field theory and on the worldsheet, especially in the presence of probe D-branes. Our construction is very general and can be applied to chiral algebras which do not have a four-dimensional origin. The resulting holographic dual backgrounds are typically non-geometric and appear to be novel. We expect our strategy to have a wide range of applications to other examples of twisted holography and, potentially, weak coupling holography.</p>

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Categorical ’t Hooft expansion and chiral algebras

  • Davide Gaiotto,
  • Adrián López-Raven,
  • Hanne Silverans,
  • Keyou Zeng

摘要

Twisted holography captures protected aspects of well-known holographic dualities. We show how an holographic dual B-model background can be systematically derived from the ’t Hooft expansion of the chiral algebras associated to four-dimensional 𝒩 = 2 superconformal quiver gauge theories. A crucial tool is the match of planar BRST anomalies in the field theory and on the worldsheet, especially in the presence of probe D-branes. Our construction is very general and can be applied to chiral algebras which do not have a four-dimensional origin. The resulting holographic dual backgrounds are typically non-geometric and appear to be novel. We expect our strategy to have a wide range of applications to other examples of twisted holography and, potentially, weak coupling holography.