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.

arXiv comment34 pages, Mathematica notebook included; v2: minor changes

References in corpus (33)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• An Index for 4 dimensional Super Conformal Theories
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• The Worldsheet Dual of the Symmetric Product CFT
• Notes on the K3 Surface and the Mathieu group M_24
• Deriving the ${\text{AdS}}_3/{\text{CFT}}_2$ Correspondence
• Counting BPS Blackholes in Toroidal Type II String Theory
• Proving the PP-Wave/CFT_2 Duality
• A Spin Chain for the Symmetric Product CFT_2
• Partition functions of the tensionless string
• Large N Elliptic Genus and AdS/CFT Correspondence
• Phase transitions in symmetric orbifold CFTs and universality
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• Lifting of D1-D5-P states
• Lifting at higher levels in the D1D5 CFT
• Emergent space-time and the supersymmetric index
• Elliptic Genera and 3d Gravity
• Symmetry-surfing the moduli space of Kummer K3s
• Lifting of level-1 states in the D1D5 CFT
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• Microstate Renormalization in Deformed D1-D5 SCFT
• Conformal Perturbation Theory for Twisted Fields
• Correlation functions of composite Ramond fields in deformed D1-D5 orbifold SCFT${}_2$
• Lifting 1/4-BPS States on K3 and Mathieu Moonshine
• Lifting of states in 2-dimensional $N=4$ supersymmetric CFTs
• A Refined Count of BPS States in the D1/D5 System
• A twist in the M24 moonshine story
• The Holographic Landscape of Symmetric Product Orbifolds
• Renormalization of Twisted Ramond Fields in D1-D5 SCFT${}_2$
• Twistfield Perturbations of Vertex Operators in the Z_2-Orbifold Model
• 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