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Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
High Energy Physics - Theory · Submitted 4 Oct 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit.
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The abstract, sentence by sentence
We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic $5^2_2$-brane. All of them are five-branes of codimension two and are related by T-duality. This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex corrections to the GLSM at the UV level. In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. The result completely agrees with those in double field theory analysis.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We establish a double dualization in two-dimensional supersymmetric gauge theory. | contribution 0.96 | 0.94 | 0.35 | asserted 1.00 |
| s1 | We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. | method 0.56 | 0.95 | 0.06 | asserted 1.00 |
| s2 | In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic $5^2_2$-brane. | result 0.92 | 0.90 | 0.37 | asserted 1.00 |
| s3 | All of them are five-branes of codimension two and are related by T-duality. | result 0.75 | 0.61 | 0.19 | asserted 1.00 |
| s4 | This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. | background 0.84 | 0.19 | 0.06 | asserted 0.99 |
| s5 | This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. | interpretation 0.41 | 0.37 | 0.05 | asserted 0.75 |
| s6 | In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. | result 0.90 | 0.93 | 0.27 | asserted 1.00 |
| s7 | This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. | interpretation 0.94 | 0.79 | 0.20 | hedged possibility 0.91 |
| s8 | Furthermore, we study quantum vortex corrections to the GLSM at the UV level. | contribution 0.97 | 0.94 | 0.05 | asserted 0.92 |
| s9 | In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. | result 0.87 | 0.85 | 0.11 | asserted 1.00 |
| s10 | The result completely agrees with those in double field theory analysis. | result 0.93 | 0.73 | 0.18 | asserted 1.00 |
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The paper
Original abstract
We establish a double dualization in two-dimensional supersymmetric gauge theory. We construct a gauged linear sigma model (GLSM) which contains a complex twisted linear superfield coupled to two sets of Abelian vector superfields. In the IR regime, the GLSM provides a string sigma model whose target spaces are a defect NS5-brane, a Kaluza-Klein vortex and an exotic $5^2_2$-brane. All of them are five-branes of codimension two and are related by T-duality. This model is a natural extension of the GLSM proposed by Tong which gives a sigma model for an H-monopole, i.e., a smeared NS5-brane of codimension three. This is also regarded as an alternative system of the GLSM for exotic five-branes proposed by the present authors. In this analysis, we confirm that the T-duality transformation procedure in terms of the complex twisted linear superfield is applicable to dualize both the real and imaginary parts of the twisted chiral superfield even at the UV level, beyond the IR limit. This indicates that the T-duality transformations at finite gauge couplings can be performed in terms of reducible superfields in the same way as irreducible (twisted) chiral superfields. Furthermore, we study quantum vortex corrections to the GLSM at the UV level. In the IR limit, these corrections are mapped to string worldsheet instanton corrections to the five-branes of codimension two. The result completely agrees with those in double field theory analysis.
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How the literature uses it
7 arXiv papers cite this in 10 sentences
Papers citing it · 8 sentences without a confident label
Cites it as background 2 papers
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More recently, various aspects of exotic branes have been studied in [ref] (see [ref] for exotic branes in non-maximal theories), and their higher-dimensional origin has been discussed.
Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry · Introduction and summary · 0.96
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It is known that the locally non-geometric nature appear in various context of string theory [ref] .
Five-brane Current Algebras in Type II String Theories · Conclusion and discussions · 0.90
What it cites · 60 sentences without a confident label
Contests 2 papers
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Unfortunately, in the previous work [ref] , the method has not been established.
Semi-doubled Sigma Models for Five-branes · Dualization procedure · contest 0.74
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Unfortunately, however, this form cannot be realized in [ref] .
Gauged Linear Sigma Model for Exotic Five-brane · Introduction · contest 0.81
Builds on 3 papers
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This model is a natural and powerful extension of the models proposed by Tong and the present authors [ref] .
Gauged Linear Sigma Model for Exotic Five-brane · Conclusion and discussions · 1.00
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This model is a natural and powerful extension of the models proposed by Tong and the present authors [ref] .
Worldsheet Description of Exotic Five-brane with Two Gauged Isometries · Conclusion and discussions · 1.00
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This notion is also carried over to the analysis of instanton effects for the $5^2_2$-brane [ref] .
Worldsheet Instanton Corrections to 522-brane Geometry · Vortices in GLSM and worldsheet instantons · 0.94
Uses the method or tool of 5 papers
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In order to generate the isometry, we perform the smearing procedure discussed in [ref] and realized in the NLSM framework [ref] .
Exotic branes and non-geometric backgrounds · IR limit · 0.91
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In order to generate the isometry, we perform the smearing procedure discussed in [ref] and realized in the NLSM framework [ref] .
Exotic Branes in String Theory · IR limit · 0.91
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In order to generate the isometry, we perform the smearing procedure discussed in [ref] and realized in the NLSM framework [ref] .
Gauged Linear Sigma Model for Exotic Five-brane · IR limit · 0.91
Compares with 3 papers
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Substituting this result into the Lagrangian, we immediately obtain [equation] Compared with the string sigma model ([ref]), we can read off the background configuration [equation] Hence, we conclude that the NLSM ([ref]) is nothing but the sigma model for a defect NS5-brane [ref] .
N=(4,4) Gauged Linear Sigma Models for Defect Five-branes · Standard NLSM for defect NS5-brane · 0.81
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Substituting this result into the Lagrangian, we immediately obtain [equation] Compared with the string sigma model ([ref]), we can read off the background configuration [equation] Hence, we conclude that the NLSM ([ref]) is nothing but the sigma model for a defect NS5-brane [ref] .
Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory · Standard NLSM for defect NS5-brane · 0.81
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This is different from the previous work [ref] in which the imaginary parts of $Θ$ and $Ψ$ are compactified and dualized.
Gauged Linear Sigma Model for Exotic Five-brane · Introduction · 0.94
Cites as background 20 papers
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The above analysis is well known when duality transformations between (ir)reducible superfields are discussed [ref] and [ref] .
Semi-doubled Sigma Models for Five-branes · Dual Lagrangian · 0.98
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Some of them have already discussed in [ref] , and the other is discussed in [ref] .
Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory · Semi-doubled GLSM for five-branes of codimension two · 0.83
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Some of them have already discussed in [ref] , and the other is discussed in [ref] .
Worldsheet Instanton Corrections to 522-brane Geometry · Semi-doubled GLSM for five-branes of codimension two · 0.83
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