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Permutation Orbifold of N=2 Supersymmetric Minimal Models

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M. Maio, A.N. Schellekens

High Energy Physics - Theory · Submitted 3 Nov 2010

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

The authors' main claim We determine the complete CFT data with all fixed point resolution matrices for all simple currents of all Z_2-permutations orbifolds of all minimal N=2 models with k\neq 2 mod 4.

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arXiv ID1011.0934 (version 1)
Pith IDKOAIQSLD, Pith's permanent record of this paper and its review
CitationA.N. Schellekens, M. Maio. "Permutation Orbifold of N=2 Supersymmetric Minimal Models." arXiv:1011.0934 (2010). https://pith.science/paper/KOAIQSLD
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,241 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.27 · states limitation 0.72 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure relating various conformal field theories that seems not to be known in literature. Moreover, unexpected exceptional simple currents arise in the extended permuted models, coming from off-diagonal fields. In a few situations they admit fixed points that must be resolved. We determine the complete CFT data with all fixed point resolution matrices for all simple currents of all Z_2-permutations orbifolds of all minimal N=2 models with k\neq 2 mod 4.

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 In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. contribution 0.68 0.88 0.05 asserted 0.99
s1 By interchanging extensions and permutations of the factors we find a very interesting structure relating various conformal field theories that seems not to be known in literature. result 0.80 0.95 0.33 asserted 0.95
s2 Moreover, unexpected exceptional simple currents arise in the extended permuted models, coming from off-diagonal fields. result 1.00 0.89 0.12 asserted 1.00
s3 In a few situations they admit fixed points that must be resolved. result 0.95 0.52 0.05 asserted 0.81
s4 We determine the complete CFT data with all fixed point resolution matrices for all simple currents of all Z_2-permutations orbifolds of all minimal N=2 models with k\neq 2 mod 4. result 0.58 0.96 0.82 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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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

In this paper we apply the previously derived formalism of permutation orbifold conformal field theories to N=2 supersymmetric minimal models. By interchanging extensions and permutations of the factors we find a very interesting structure relating various conformal field theories that seems not to be known in literature. Moreover, unexpected exceptional simple currents arise in the extended permuted models, coming from off-diagonal fields. In a few situations they admit fixed points that must be resolved. We determine the complete CFT data with all fixed point resolution matrices for all simple currents of all Z_2-permutations orbifolds of all minimal N=2 models with k\neq 2 mod 4.

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References
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2 arXiv papers cite this in 9 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 · 7 sentences without a confident label

Builds on it 1 paper
  • This should be viewed as an application of our previous paper [ref] where $ℤ_2$ permutations were studied for $N=2$ minimal models, which are the building blocks in Gepner construction.

    Permutation orbifolds of heterotic Gepner models · Conclusions · 0.97

Cites it as background 1 paper

What it cites · 32 sentences without a confident label

Builds on 4 papers
Uses the method or tool of 2 papers
Compares with 2 papers
  • It also agrees with [ref] For equivalent, but different-looking, expressions, see [ref] . ]: [equation] where $x$ and $y$ belongs to the range [equation] Equation ([ref]) is actually the solution to ([ref]), when the l.h.s. is given as in ([ref]).

    Characters of graded parafermion conformal field theory · String functions and $N=2$ Characters · 0.94

  • It also agrees with [ref] For equivalent, but different-looking, expressions, see [ref] . ]: [equation] where $x$ and $y$ belongs to the range [equation] Equation ([ref]) is actually the solution to ([ref]), when the l.h.s. is given as in ([ref]).

    Conjugate Bailey pairs · String functions and $N=2$ Characters · 0.94

Cites as background 4 papers
  • If there are fixed points one needs a set of matrices “$S^J$” for each current $J$ acting on the fixed points [ref] .

    A matrix S for all simple current extensions · Basic concepts · 0.84

  • Before going into the details of the permutation orbifold of the $N=2$ minimal models, let us recall a few properties of the generic permutation orbifold [ref] , restricted to the $ℤ_2$ case [equation] If $c$ is the central charge of $𝒜$, then the central charge of $𝒜_perm$ is $2c$.

    Systematic approach to cyclic orbifolds · Permutation orbifold · 0.93

  • Expressions for the $S^J$ matrix are known for WZW models, coset theories and extensions thereof [ref] .

    From Dynkin diagram symmetries to fixed point structures · Basic concepts · 0.93

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