Universal lifting in the D1-D5 CFT

Abstract

We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where one copy of the seed CFT has been excited with a left-moving superconformal primary. Despite being BPS at the orbifold point, such states can `lift' as the theory is deformed away from this point in moduli space. We compute this lifting at second order in the deformation parameter for arbitrary left-moving dimension $h$ of this class of states. This result displays an interesting universality since the lifting does not depend on the details of the superconformal primary; it depends only on the dimension. In the large-dimension limit the lift scales as $\sqrt{h}$; it is observed that such scaling appears to be a universal property of the lift of D1-D5-P states.

arXiv comment36 pages, 1 figure

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• BPS Chaos
• The Stranger Things of Symmetric Product Orbifold CFTs
• Worldsheet computation of heavy-light correlators
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• Localization on $Ad{S}_3\times S^2$ I: the 4d/5d connection in off-shell Euclidean supergravity
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• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Fortuity and Supergravity
• Mellin amplitudes for $Ad{S}_3\times S^3$
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• A New Supersymmetry Index for the D1-D5 CFT
• The Resolved Elliptic Genus and the D1-D5 CFT