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Domain Walls in Noncommutative Field Theories
High Energy Physics - Theory · Submitted 18 Nov 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Reproduction of the correct decent relation between D$p$ and D$(p-1)$ lets us interpret the obtained NC kinks as codimension-one D-brane and its composites.
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The abstract, sentence by sentence
We study kinks in a wide class of noncommutative (NC) field theories. We find rich structure of the static kinks in DBI type NC tachyon action for an unstable D$p$-brane with general constant open string metric and NC parameter. Among which thick topological BPS NC kink and tensionless half-kink are particularly intriguing. Reproduction of the correct decent relation between D$p$ and D$(p-1)$ lets us interpret the obtained NC kinks as codimension-one D-brane and its composites. If we turn on DBI type NC U(1) gauge field on an unstable D2-brane, only constant field strength is allowed by gauge equation and NC Bianchi identity. Inclusion of the NC U(1) gauge field induces fundamental string charge localized on the codimension-one brane, which turns D$(p-1)$ into D$(p-1)$F1.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study kinks in a wide class of noncommutative (NC) field theories. | contribution 0.97 | 0.92 | 0.04 | asserted 0.85 |
| s1 | We find rich structure of the static kinks in DBI type NC tachyon action for an unstable D$p$-brane with general constant open string metric and NC parameter. | result 0.95 | 0.95 | 0.18 | asserted 1.00 |
| s2 | Among which thick topological BPS NC kink and tensionless half-kink are particularly intriguing. | result 0.99 | 0.78 | 0.14 | asserted 0.97 |
| s3 | Reproduction of the correct decent relation between D$p$ and D$(p-1)$ lets us interpret the obtained NC kinks as codimension-one D-brane and its composites. | interpretation 1.00 | 0.79 | 0.40 | asserted 0.91 |
| s4 | If we turn on DBI type NC U(1) gauge field on an unstable D2-brane, only constant field strength is allowed by gauge equation and NC Bianchi identity. | result 0.97 | 0.77 | 0.05 | asserted 1.00 |
| s5 | Inclusion of the NC U(1) gauge field induces fundamental string charge localized on the codimension-one brane, which turns D$(p-1)$ into D$(p-1)$F1. | result 0.79 | 0.82 | 0.21 | asserted 1.00 |
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The paper
Original abstract
We study kinks in a wide class of noncommutative (NC) field theories. We find rich structure of the static kinks in DBI type NC tachyon action for an unstable D$p$-brane with general constant open string metric and NC parameter. Among which thick topological BPS NC kink and tensionless half-kink are particularly intriguing. Reproduction of the correct decent relation between D$p$ and D$(p-1)$ lets us interpret the obtained NC kinks as codimension-one D-brane and its composites. If we turn on DBI type NC U(1) gauge field on an unstable D2-brane, only constant field strength is allowed by gauge equation and NC Bianchi identity. Inclusion of the NC U(1) gauge field induces fundamental string charge localized on the codimension-one brane, which turns D$(p-1)$ into D$(p-1)$F1.
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How the literature uses it
2 arXiv papers cite this in 11 sentences
Papers citing it · 6 sentences without a confident label
Compares with it 1 paper
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For the case of hyperbolic sine and hyperbolic cosine types of tachyon profiles, they are slightly different from those in EFTs as expected [ref] , but, for the exponential type, they coincide exactly with the results of EFTs.
Negative-Tension Branes and Tensionless 1/2 Brane in Boundary Conformal Field Theory · Introduction · 0.99
Cites it as support 1 paper
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On the other hand, it has been computed in Refs. [ref] using the tachyon field theory, that the relation for the tension of codimension-one soliton solutions coincides with the one for $D(p-1)$-branes: [equation] which also supports the identification of dark solitons in Gross-Pitaevskii theory and $D(p-1)$-branes in the effective string theory.
Dark Solitons, D-branes and Noncommutative Tachyon Field Theory · Noncommutative Tachyon Field Theory · 0.99
Cites it as background 1 paper
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Our identification turns out to be valid in some limits, which we highlight by reviewing some crucial aspects of the noncommutative tachyon field theory appearing in the string theory literature [ref] .
Dark Solitons, D-branes and Noncommutative Tachyon Field Theory · Solitons and $D$-branes · 0.93
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