SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT

A. Nichols; I. I. Kogan

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SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT

I. I. Kogan, A. Nichols

High Energy Physics - Theory · Submitted 19 Jul 2001

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

The authors' main claim We show that the SU(2)_0 WZNW model has a hidden OSp(2|2)_{-2} symmetry.

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arXiv IDhep-th/0107160 (version 2)

Pith IDJDQTDD5Z, Pith's permanent record of this paper and its review

CitationA. Nichols, I. I. Kogan. "SU(2)_0 and OSp(2|2)_{-2} WZNW models : Two current algebras, one Logarithmic CFT." arXiv:hep-th/0107160 (2001). https://pith.science/paper/JDQTDD5Z

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,222 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.20 · compares with prior results 0.59 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We show that the SU(2)_0 WZNW model has a hidden OSp(2|2)_{-2} symmetry. Both these theories are known to have logarithms in their correlation functions. We also show that, like OSp(2|2)_{-2}, the logarithmic structure present in the SU(2)_0 model is due to the underlying c=-2 sector. We also demonstrate that the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the correlation functions of the c=-2 model. We also discuss some of the novel boundary effects which can take place in this model.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We show that the SU(2)_0 WZNW model has a hidden OSp(2\|2)_{-2} symmetry.	result 0.91	0.94	0.77	asserted 1.00
s1	Both these theories are known to have logarithms in their correlation functions.	background 0.99	0.06	0.06	asserted 1.00
s2	We also show that, like OSp(2\|2)_{-2}, the logarithmic structure present in the SU(2)_0 model is due to the underlying c=-2 sector.	result 0.82	0.83	0.19	asserted 1.00
s3	We also demonstrate that the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the correlation functions of the c=-2 model.	result 0.56	0.93	0.15	asserted 1.00
s4	We also discuss some of the novel boundary effects which can take place in this model.	contribution 0.93	0.74	0.03	hedged possibility 0.45

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

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arXiv listing abstract v2

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S sections
T body sentences
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

We show that the SU(2)_0 WZNW model has a hidden OSp(2|2)_{-2} symmetry. Both these theories are known to have logarithms in their correlation functions. We also show that, like OSp(2|2)_{-2}, the logarithmic structure present in the SU(2)_0 model is due to the underlying c=-2 sector. We also demonstrate that the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the correlation functions of the c=-2 model. We also discuss some of the novel boundary effects which can take place in this model.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Bits and Pieces in Logarithmic Conformal Field Theory
hep-th 2001-11 accept novelty 5.0 of 10

Lecture notes that give a working formalism, built on a nilpotent variable, for constructing logarithmic null vectors and for extending characters and Verlinde fusion rules to indecomposable conformal representations.
An algebraic approach to logarithmic conformal field theory
hep-th 2001-11 accept novelty 2.0 of 10

A pedagogical, algebra-first tour of logarithmic conformal field theory, showing how indecomposable representations of the Virasoro and triplet algebras produce logarithmic correlation functions, worked out for c = -2...

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1 arXiv paper cite this in 1 sentence

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

Cites it as background 1 paper

Many 4-point functions are available for such theories, see for instance [ref] .

Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_{f}=4$ flavours · Introduction and results · 0.92

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