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The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle

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J.M. Evans, M.R. Gaberdiel, M.J. Perry

High Energy Physics - Theory · Submitted 3 Jun 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is then shown that the restriction on the spin (in terms of the level) that is necessary to obtain a ghost-free spectrum corresponds to the stringy exclusion principle of Maldacena and Strominger.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9806024 (version 2)
Pith ID7HRY5CYM, Pith's permanent record of this paper and its review
CitationJ.M. Evans, M.J. Perry, M.R. Gaberdiel. "The No-ghost Theorem for AdS_3 and the Stringy Exclusion Principle." arXiv:hep-th/9806024 (1998). https://pith.science/paper/7HRY5CYM
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,333 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.27 · compares with prior results 0.48 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

A complete proof of the No-ghost Theorem for bosonic and fermionic string theories on AdS_3, or the group manifold of SU(1,1), is given. It is then shown that the restriction on the spin (in terms of the level) that is necessary to obtain a ghost-free spectrum corresponds to the stringy exclusion principle of Maldacena and Strominger.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 A complete proof of the No-ghost Theorem for bosonic and fermionic string theories on AdS_3, or the group manifold of SU(1,1), is given. contribution 0.79 0.93 0.56 asserted 1.00
s1 It is then shown that the restriction on the spin (in terms of the level) that is necessary to obtain a ghost-free spectrum corresponds to the stringy exclusion principle of Maldacena and Strominger. interpretation 0.59 0.90 0.42 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • P abstract
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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

A complete proof of the No-ghost Theorem for bosonic and fermionic string theories on AdS_3, or the group manifold of SU(1,1), is given. It is then shown that the restriction on the spin (in terms of the level) that is necessary to obtain a ghost-free spectrum corresponds to the stringy exclusion principle of Maldacena and Strominger.

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References
How the literature uses it

21 arXiv papers cite this in 32 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 22 sentences without a confident label

Uses its method or tool 2 papers
  • The idea of the proof of the no-ghost theorem follows [ref] , see also [ref] , using also classic results by Goddard and Thorn [ref] .

    A no-ghost theorem for the bosonic Nappi-Witten string · No-ghost theorem for Nappi-Witten string theories · 0.95

  • It is not necessary for our purposes, but it simplifies the formulas, if we work in a time gauge ( [ref] ), such that: [equation] Here the $S^α$ are spin-fields, $i$ runs over the spatial dimensions and $-p^2=N$.

    Entropy of String States at fixed Mass and Size · States with no charge · 0.97

Cites it as background 8 papers
  • One is the unitarity bound of the no-ghost theorem [ref] , and the other is the Maldacena-Ooguri bound [ref] , which arises from demanding square integrability of the respective harmonic functions in the quantum mechanical limit.

    Long strings and chiral primaries in the hybrid formalism · Introduction · 0.82

  • And although the structure of the conformal field theory is still not completely understood, the question of unitarity of the corresponding string is by now settled [ref] .

    A no-ghost theorem for the bosonic Nappi-Witten string · Introduction · 0.85

  • The spectrum of the theory is constructed from the unitary representations of $𝔰𝔩(2,ℝ)$ which are the discrete representations $D^+_j$ with $12<j<k_b-12$, the continuous representations $C_j^λ$ with $j∈12+iℝ$ and $λ∈[0,1)$, and their spectral flow images [ref] .

    Symmetric orbifold OPE from string theory · Bosonic string · 0.89

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