Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$

Abstract

We establish a framework for doing second order conformal perturbation theory for the symmetric orbifold Sym${}^N(T^4)$ to all orders in $N$. This allows us to compute how 1/4-BPS states of the D1-D5 system on $Ad{S}_3\times S^3\times T^4$ are lifted as we move away from the orbifold point. As an application we confirm a previous observation that in the large $N$ limit not all 1/4-BPS states that can be lifted do get lifted. This provides evidence that the supersymmetric index actually undercounts the number of 1/4-BPS states at a generic point in the moduli space.

34 pages, Mathematica notebook included; v2: minor changes

References in corpus (6)

• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Notes on the K3 Surface and the Mathieu group M_24
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Microstate Renormalization in Deformed D1-D5 SCFT
• The Holographic Landscape of Symmetric Product Orbifolds
• Symmetries of the refined D1/D5 BPS spectrum

Cited by in corpus (18)

• A perturbative CFT dual for pure NS-NS AdS${}_3$ strings
• Deforming Symmetric Product Orbifolds: A tale of moduli and higher spin currents
• The Spectrum of Boundary States in Symmetric Orbifolds
• Beyond the Tensionless Limit: Integrability in the Symmetric Orbifold
• BPS Chaos
• Universal lifting in the D1-D5 CFT
• The Stranger Things of Symmetric Product Orbifold CFTs
• Dynamical evolution in the D1D5 CFT
• Coupled minimal models revisited II: Constraints from permutation symmetry
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Fortuity and Supergravity
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• Mellin amplitudes for $Ad{S}_3\times S^3$
• CFT Duals for Black Rings and Black Strings
• Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence
• A New Supersymmetry Index for the D1-D5 CFT
• The Resolved Elliptic Genus and the D1-D5 CFT