A Refined Count of BPS States in the D1/D5 System

Abstract

We examine the low-lying quarter BPS spectrum of a 2d conformal field theory with target Sym${}^N(K3)$ at various points in the moduli space, and look at a more refined count than the ordinary elliptic genus. We compute growth of the spectrum at both the symmetric orbifold point, as well as at the supergravity point in the moduli space. Finally we do a decomposition of the spectra into $\mathcal{N}=4$ characters and discuss possible relations to interesting symmetry groups. A similar analysis is done with $T^4$.

22 pages, 3 figures, v2: minor changes, v3: some typos fixed

References in corpus (5)

• Notes on the K3 Surface and the Mathieu group M_24
• String Universality for Permutation Orbifolds
• Permutation orbifolds and holography
• Counting Giant Gravitons in AdS_3
• Supersymmetric Giant Graviton Solutions in AdS_3

Cited by in corpus (14)

• 2D CFT Partition Functions at Late Times
• Lifting at higher levels in the D1D5 CFT
• Lifting 1/4-BPS States in $Ad{S}_3\times S^3\times T^4$
• $\mathcal{N}=2$ Minimal Models: A Holographic Needle in a Symmetric Orbifold Haystack
• Lifting of level-1 states in the D1D5 CFT
• On the BPS sector in AdS_3/CFT_2 Holography
• BPS Chaos
• The Stranger Things of Symmetric Product Orbifold CFTs
• The Holographic Landscape of Symmetric Product Orbifolds
• Fortuity and Supergravity
• Symmetries of the refined D1/D5 BPS spectrum
• Counting spinning dyons in maximal supergravity: The Hodge-elliptic genus for tori
• BPS jumping loci and special cycles
• Quarter-BPS states in orbifold sigma models with ADE singularities