A holographic dual for string theory on AdS3×S3×S3×S1

2017/07/10 by Lorenz Eberhardt, Matthias R. Gaberdiel, Wei Li · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dual (grammatical number) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Orbifold #Physics #Quantum mechanics #Spectrum (functional analysis) #String (physics) #String theory #Supergravity #Supersymmetry #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep08(2017)111

41 pages, 2 figures

arxiv created 2017/07/10 · openalex publication_date 2017/08/01 · openalex created_date 2017/09/15 · arxiv updated 2021/01/13 · openalex updated_date 2026/08/01

Abstract

The CFT dual of string theory on AdS3 × S3 × S3 × S1 is conjectured to be the symmetric orbifold of the S_κ theory, provided that one of the two Q 5 ± quantum numbers is a multiple of the other. We determine the BPS spectrum of the symmetric orbifold in detail, and show that it reproduces precisely the BPS spectrum that was recently calculated in supergravity. We also determine the BPS spectrum of the world-sheet theory that is formulated in terms of WZW models, and show that, apart from some gaps (which are reminiscent of those that appear in the corresponding \mathbbT⁴ calculation), it also reproduces this BPS spectrum. In fact, the matching seems to work as well as for the familiar \mathbbT⁴ case, and thus our results give strong support for this proposal.

Citations

• Large N = 4 holography
• Counting BPS Blackholes in Toroidal Type II String Theory
• An Index for 2D field theories with large N=4 superconformal symmetry
• On the unitary representations of a class of N = 4 superconformal algebras
• Characters of the N = 4 superconformal algebra with two central extensions
• Characters of the N = 4 superconformal algebra with two central extensions (II). Massless representations
• Gauged supergravity vacua from intersecting branes
• Fivebranes wrapped on associative three-cycles
• Six-dimensional supergravity on S3 × AdS3 and 2d conformal field theory
• Elliptic Genera of Symmetric Products and Second Quantized Strings
• Counting giant gravitons inAdS3
• Fields, Strings, Matrices and Symmetric Products

Cited by

• Kaluza-Klein spectrometry for \rm AdS₃ vacua
• Type II solutions on AdS3 × S3 × S3 with large superconformal symmetry
• Central charges, elliptic genera, and Bekenstein-Hawking entropy in N=(2,2) AdS₃/CFT₂
• Geometry of the moduli space of Hermitian-Einstein connections on manifolds with a dilaton