High Energy Physics - Theory · arXiv:1006.5874 v1 · submitted 30 Jun 2010
From world-sheet supersymmetry to super target spaces
The paper says
“The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model.”
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The paper
Abstract
We investigate the relation between N=(2,2) superconformal Lie group WZNW models and Lie supergroup WZNW models. The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model. Moreover, the superconformal currents are expressed in terms of Lie superalgebra currents in the twisted theory. As applications, we find protected sectors and boundary actions in the supergroup sigma model. A special example is the relation between string theory on AdS_3 x S^3 x T^4 in the RNS formalism and the U(1,1|2) x U(1|1) x U(1|1) supergroup WZNW model.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.19 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We investigate the relation between N=(2,2) superconformal Lie group WZNW models and Lie supergroup WZNW models. | contribution 0.94 | 0.84 | 0.11 | unclear 0.59 |
| The B-twist of an exactly marginal perturbation of the world-sheet superconformal sigma model is the supergroup model. | result 0.97 | 0.61 | 0.54 | asserted 1.00 |
| Moreover, the superconformal currents are expressed in terms of Lie superalgebra currents in the twisted theory. | result 0.99 | 0.83 | 0.16 | asserted 1.00 |
| As applications, we find protected sectors and boundary actions in the supergroup sigma model. | result 0.84 | 0.94 | 0.14 | asserted 1.00 |
| A special example is the relation between string theory on AdS_3 x S^3 x T^4 in the RNS formalism and the U(1,1|2) x U(1|1) x U(1|1) supergroup WZNW model. | result 0.87 | 0.77 | 0.10 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99
What was examined, and what was not
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- arXiv listing abstract v1
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- P abstract
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- S sections
- T body sentences
- C citations
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,311 input tokens, $0.0002 reported.
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Cited by 1 Pith paper
Reviewed papers on Pith that cite this one. The full citation record
- Logarithmic Conformal Field Theory: Beyond an Introduction hep-th · Mar 2013
How the literature uses it
7 arXiv papers cite this in 9 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
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Formulae follow from [ref] ; see also Appendix [ref].
Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins · $pgl44$ currents at critical level · 0.81
Cites it as background 3 papers
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The state of the art of sigma models on target superspace is that WZW models on supergroups are fairly well understood due to their Kac-Moody symmetry, see [ref] for bulk and [ref] for boundary models.
Yangian Superalgebras in Conformal Field Theory · Introduction · 1.00
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They have been studied from various perspectives (see e.g. [ref] ).
Massless particles on supergroups and AdS3 x S3 supergravity · Introduction · 1.00
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This case is relevant for the study of the AdS$_3$/CFT$_2$ correspondence where string theory on AdS$_3×$S$^3$ is related to the supergroup [ref] .
Supergroup - extended super Liouville correspondence · WZNW models and super Liouville theories · 0.84
What it cites · 24 sentences without a confident label
Builds on 1 paper
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The above construction can be slightly generalized [ref] .
Manin triples and $N=2$ superconformal field theory · Deformations · 0.93
Uses the method or tool of 5 papers
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Using a particular Manin triple decomposition of the algebra we explicitly construct an extension to $=(2,2)$ supersymmetry [ref] .
Manin triples and $N=2$ superconformal field theory · Introduction · 0.93
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A first order formalism for the fermions (called the free fermion resolution [ref] ) is obtained by introducing auxiliary dimension 1 $b$-ghosts to match the fermionic fields $c$: [equation] The WZNW action then becomes [equation] where $S[g_B]_ren+dil$ is a renormalized version of the bosonic WZNW action plus dilatonic terms.
Free fermion resolution of supergroup WZNW models · Lie supergroup WZNW models · 0.88
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Warner explained how to find B-type boundary actions in superconformal field thoeries [ref] , we use [ref] as references.
Landau-Ginzburg Realization of Open String TFT · Boundary actions and the Warner problem · 0.90
Cites as support 1 paper
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Indeed, as shown in [ref] these deformations are closely related to spectral flow.
Branes in Supergroups · Deformations · 0.96
Cites as background 15 papers
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In this section we recall results on these from [ref] .
Free fermion resolution of supergroup WZNW models · Lie supergroup WZNW models · 0.98
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Deformations that change the coefficient of the principal chiral field play an important role in the $PSU(1,1|2)$ supergroup sigma model where they describe Ramond-Ramond perturbations of the string theory [ref] .
$PSL(n|n)$ Sigma Model as a Conformal Field Theory · The principal chiral field as a D-term · 0.85
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Deformations that change the coefficient of the principal chiral field play an important role in the $PSU(1,1|2)$ supergroup sigma model where they describe Ramond-Ramond perturbations of the string theory [ref] .
Boundary Spectra in Superspace Sigma-Models · The principal chiral field as a D-term · 0.85
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