Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories

Abstract

We present two complementary approaches to calculating the 2-point function of stress tensors in the presence of a 1/2 BPS surface defect of the 6d $\mathcal{N}=(2,0)$ theories. First, we use analytical bootstrap techniques at large $N$ to obtain the first nontrivial correction to this correlator, from which we extract the defect CFT (dCFT) data characterising the 2d dCFT of the 1/2 BPS plane. Along the way we derive a supersymmetric inversion formula, obtain the relevant superconformal blocks and check that crossing symmetry is satisfied. Notably our result features a holomorphic function whose appearance is related to the chiral algebra construction of Beem, Rastelli and van Rees. Second, we use that chiral algebra description to obtain exact results for the BPS sector of the dCFT, valid at any $N$ and for any choice of surface operator. These results provide a window into the dynamics of strings of the mysterious 6d theories.

arXiv comment32 pages, 3 figures; v2: fixed typo in eqn (4.20), minor edits, published version

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• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs