Universal lifting in the D1-D5 CFT

TL;DR

This paper calculates the universal second-order lifting of certain BPS D1-D5-P states in the orbifold CFT as the theory moves away from the orbifold point, revealing a universal scaling behavior with the state dimension.

Contribution

It provides the first explicit computation of the second-order lift for a broad class of states, showing universality and a specific scaling with the conformal dimension.

Findings

Lift scales as √h in the large-dimension limit

Lift is independent of the specific superconformal primary details

Universal behavior observed across different states

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.