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Novel Branches of (0,2) Theories
High Energy Physics - Theory · Submitted 14 Jun 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories.
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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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The abstract, sentence by sentence
We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If non-anomalous multiplets are integrated out, the resulting low-energy theory involves log interactions of neutral fields. For these cases, we find a sigma model geometry which is both non-toric and includes brane sources. These are heterotic sigma models with branes. Surprisingly, there are massive models with compact complex non-Kahler target spaces, which include brane/anti-brane sources. The simplest conformal models describe wrapped heterotic NS5-branes. We present examples of both types.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. | result 0.58 | 0.92 | 0.74 | asserted 1.00 |
| s1 | This observation puts models with log interactions on firm footing. | interpretation 0.96 | 0.41 | 0.17 | asserted 1.00 |
| s2 | If non-anomalous multiplets are integrated out, the resulting low-energy theory involves log interactions of neutral fields. | result 0.89 | 0.51 | 0.11 | asserted 0.99 |
| s3 | For these cases, we find a sigma model geometry which is both non-toric and includes brane sources. | result 1.00 | 0.94 | 0.11 | asserted 1.00 |
| s4 | These are heterotic sigma models with branes. | result 0.57 | 0.51 | 0.12 | asserted 1.00 |
| s5 | Surprisingly, there are massive models with compact complex non-Kahler target spaces, which include brane/anti-brane sources. | result 0.99 | 0.79 | 0.13 | asserted 1.00 |
| s6 | The simplest conformal models describe wrapped heterotic NS5-branes. | result 0.93 | 0.58 | 0.09 | asserted 1.00 |
| s7 | We present examples of both types. | contribution 0.97 | 0.90 | 0.05 | asserted 0.98 |
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The paper
Original abstract
We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If non-anomalous multiplets are integrated out, the resulting low-energy theory involves log interactions of neutral fields. For these cases, we find a sigma model geometry which is both non-toric and includes brane sources. These are heterotic sigma models with branes. Surprisingly, there are massive models with compact complex non-Kahler target spaces, which include brane/anti-brane sources. The simplest conformal models describe wrapped heterotic NS5-branes. We present examples of both types.
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References
How the literature uses it
17 arXiv papers cite this in 31 sentences
Papers citing it · 23 sentences without a confident label
Cites it as background 8 papers
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Recently, $(0,2)$ linear sigma models with torsion, describing heterotic compactifications with flux, triggered a renewal of interest for this subject [ref] .
T-Duality in Gauged Linear Sigma-Models with Torsion · Introduction · 0.87
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In addition to Calabi-Yau compactifications, there has also been considerable interest in non-Kähler solutions of the heterotic string, see for example [ref] .
Algebroids, Heterotic Moduli Spaces and the Strominger System · Introduction · 0.99
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For $=(0,2)$ GLSMs with torsion see [ref] .
On gauged linear sigma models with torsion · Introduction · 0.98
What it cites · 21 sentences without a confident label
Compares with 3 papers
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Unlike the models discussed [ref] , here the $$ fields are neutral.
Linear Sigma Models with Torsion · The gauge group action · 1.00
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This is very much like the phase structure of [ref] , but with some of the FI parameters promoted to dynamical fields.
Phases of $N=2$ Theories In Two Dimensions · Quantum corrections · 0.88
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These configurations probably cannot be realized in string theory for $n>3$, but the GLSMs are sensible nonetheless.[Even $n=3$ is subtle to interpret, since this corresponds to Euclidean NS5-branes wrapping a $^3$.] A similar situation also arose in [ref] .
Worldsheet Descriptions of Wrapped NS Five-Branes · Non-compact conformal models · 0.89
Cites as background 8 papers
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There are additional desirable conditions to impose on the choice of charges, described in many places like [ref] .
Linear Sigma Models with Torsion · Compact conformal models? · 0.90
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On the other hand, a $(2,2)$ chiral multiplet with charge $Q$ decomposes into a pair $(Φ, )$ of $(0,2)$ superfields consisting of a $(0,2)$ chiral multiplet $$, and an almost chiral Fermi multiplet $$ satisfying [ref] 𝔇̅_+ = √(2) E.
Phases of $N=2$ Theories In Two Dimensions · The basic idea · 0.80
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The heterotic conditions for a space-time supersymmetric solution were derived from supergravity in [ref] , and considered from a pure spinor perspective in [ref] .
Flux backgrounds from Twists · Conditions for a space-time supersymmetric solution · 0.97
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