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BPS spectrum on AdS$_3\times $S$^3 \times $S$^3 \times $S$^1$

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arxiv 1701.03552 v3 pith:CJE2PWPI submitted 2017-01-13 hep-th

Lorenz Eberhardt , Matthias R. Gaberdiel , Rajesh Gopakumar , Wei Li This is my paper
classification hep-th
keywords timesspectrumsupergravitytheoryonlystatesstringalgebra
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The BPS spectrum of string theory on AdS$_3\times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ is determined using a world-sheet description in terms of WZW models. It is found that the theory only has BPS states with $j^+ = j^-$ where $j^{\pm}$ refer to the spins of the $\mathfrak{su}(2)$ algebras of the large ${\cal N}=4$ superconformal algebra. We then re-examine the BPS spectrum of the corresponding supergravity and find that, in contradistinction to previous claims in the literature, also in supergravity only the states with $j^+=j^-$ are BPS. This resolves a number of long-standing puzzles regarding the BPS spectrum of string theory and supergravity in this background.

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Cited by 4 Pith papers

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  3. Strings and near-extremal black holes in theories with large $\mathcal{N}=4$ superconformal symmetry

    hep-th 2025-05 conditional novelty 6.0 of 10

    A one-loop worldsheet computation on AdS3×S3×S3×S1 recovers the supergravity spectrum and boundary currents, yields a temperature-dependent BPS index for near-extremal BTZ black holes, and suggests non-unique worldshe...

  4. Lecture notes on strings in AdS$_3$ from the worldsheet and the AdS$_3$/CFT$_2$ duality

    hep-th 2026-01 unverdicted novelty 2.0 of 10

    Lecture notes deliver a self-contained pedagogical overview of worldsheet strings in AdS3 with NSNS flux, summarizing 25 years of results with emphasis on spectrally flowed correlation functions.

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