Lifting of level-1 states in the D1D5 CFT

Abstract

The D1D5 CFT has a large set of states that are supersymmetric at the `free' orbifold point in moduli space. When we perturb away from this point, some of these states join into long multiplets and lift in energy, while others remain supersymmetric. The count of unlifted states can be bounded below by an index, but the index does not yield the pattern of lifting; i.e., which states join into a long multiplet and how much this multiplet lifts. In this paper we consider the simple case of the D1D5 CFT where the orbifold CFT is a sigma model with targets space $(T^4{)}^2/S_2$ and consider states at energy level $1$. There are $2688$ states at this level. The lifted states form a triplet of long multiplets, and we compute their lift at second order in perturbation theory. Half the members of the long multiplet are in the untwisted sector and half are in the twisted sector. This and other similar studies should help in the understanding of fuzzball states that describe extremal holes, since CFT sectors with low twist describe shallow throats in the dual gravity solution while sectors with high twist describe deep throats.

36 pages

References in corpus (9)

• Fuzzballs with internal excitations
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Conformal perturbation theory beyond the leading order
• Effect of the deformation operator in the D1D5 CFT
• Effect of the twist operator in the D1D5 CFT
• Bogoliubov coefficients for the twist operator in the D1D5 CFT
• Conformal perturbation theory, dimensional regularization and AdS/CFT
• Analyzing the squeezed state generated by a twist deformation
• Symmetries of the refined D1/D5 BPS spectrum

Cited by in corpus (19)

• Superstrata
• Lifting at higher levels in the D1D5 CFT
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• Universal lifting in the D1-D5 CFT
• Perturbing the symmetric orbifold from the worldsheet
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• The Stranger Things of Symmetric Product Orbifold CFTs
• On the Dynamics of Protected Ramond Ground States in the D1-D5 CFT
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Dynamics of R-neutral Ramond fields in the D1-D5 SCFT
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Fortuity and Supergravity
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• A New Supersymmetry Index for the D1-D5 CFT
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• The Resolved Elliptic Genus and the D1-D5 CFT