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D-branes with Lorentzian signature in the Nappi-Witten model
High Energy Physics - Theory · Submitted 25 Apr 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed.
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The abstract, sentence by sentence
Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed. This is done by rewriting the gluing condition $J_+=FJ_-$ for the model chiral currents on the brane as a well posed first order differential problem and by solving it for Lie algebra isometries $F$ other than Lie algebra automorphisms. By construction, these D-branes are not twined conjugacy classes. Metrically degenerate D-branes are also obtained.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed. | contribution 0.68 | 0.93 | 0.79 | asserted 1.00 |
| s1 | This is done by rewriting the gluing condition $J_+=FJ_-$ for the model chiral currents on the brane as a well posed first order differential problem and by solving it for Lie algebra isometries $F$ other than Lie algebra automorphisms. | method 1.00 | 0.93 | 0.19 | asserted 1.00 |
| s2 | By construction, these D-branes are not twined conjugacy classes. | result 0.92 | 0.88 | 0.20 | asserted 1.00 |
| s3 | Metrically degenerate D-branes are also obtained. | result 0.96 | 0.92 | 0.09 | asserted 1.00 |
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The paper
Original abstract
Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed. This is done by rewriting the gluing condition $J_+=FJ_-$ for the model chiral currents on the brane as a well posed first order differential problem and by solving it for Lie algebra isometries $F$ other than Lie algebra automorphisms. By construction, these D-branes are not twined conjugacy classes. Metrically degenerate D-branes are also obtained.
Human review
How the literature uses it
1 arXiv paper cite this in 5 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 1 paper
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Among them, the geometric approach [ref] , that regards D-branes as spacetime's submanifolds on which the string worldsheet boundary may be embedded, and the algebraic approach [ref] , that makes use of boundary conformal field theory.
Geometric construction of D-branes in WZW models · Introduction · 0.99
What it cites · 30 sentences without a confident label
Cites as background 18 papers
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A group element $g$ can be parameterized as [ref] [equation] in terms of real coordinates $x_M,u,v$.
A WZW model based on a non-semi-simple group · The Nappi-Witten model: a brief review · 0.90
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[ref] for details and Sections 4 and 5 for examples.
Geometric construction of D-branes in WZW models · Characterization of D-branes in WZW models · 0.82
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This entails as a first step the characterization of D-branes in WZW models [ref] .
Anti-de-Sitter D-branes · Introduction · 0.93
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