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D-branes as Solitons of an N=1, D=10 Non-commutative Gauge Theory
High Energy Physics - Theory · Submitted 9 Nov 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These results indicate that the soliton solution is the low energy realization of a D3 brane in a D9 brane with a transverse B-field, hence can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases.
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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 consider a Dp brane within a D9 brane in the presence of a B-field whose polarization is {\em transverse} to the Dp brane. To be definite, we take a D3-D9 system. It is observed that the system has the same pattern of supersymmetry breaking as that of a soliton of the six dimensional non-commutative gauge theory that is obtained by dimensional reduction of an {\cal N}=1, D=10 gauge theory. These results indicate that the soliton solution is the low energy realization of a D3 brane in a D9 brane with a transverse B-field, hence can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider a Dp brane within a D9 brane in the presence of a B-field whose polarization is {\em transverse} to the Dp brane. | contribution 0.56 | 0.28 | 0.04 | asserted 0.83 |
| s1 | To be definite, we take a D3-D9 system. | method 0.58 | 0.61 | 0.03 | asserted 0.89 |
| s2 | It is observed that the system has the same pattern of supersymmetry breaking as that of a soliton of the six dimensional non-commutative gauge theory that is obtained by dimensional reduction of an {\cal N}=1, D=10 gauge theory. | result 0.99 | 0.46 | 0.25 | asserted 0.97 |
| s3 | These results indicate that the soliton solution is the low energy realization of a D3 brane in a D9 brane with a transverse B-field, hence can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases. | interpretation 1.00 | 0.71 | 0.84 | hedged possibility 0.99 |
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The paper
Original abstract
We consider a Dp brane within a D9 brane in the presence of a B-field whose polarization is {\em transverse} to the Dp brane. To be definite, we take a D3-D9 system. It is observed that the system has the same pattern of supersymmetry breaking as that of a soliton of the six dimensional non-commutative gauge theory that is obtained by dimensional reduction of an {\cal N}=1, D=10 gauge theory. These results indicate that the soliton solution is the low energy realization of a D3 brane in a D9 brane with a transverse B-field, hence can be viewed as a generalization of the previous results in the literature where similar observations were made for lower codimensional cases.
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References
How the literature uses it
12 arXiv papers cite this in 13 sentences
Papers citing it · 8 sentences without a confident label
Uses its method or tool 1 paper
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In general, this choice of flux will break supersymmetry on the D8-brane, though the D0-brane may still experience an effective supersymmetric quantum mechanics.[Following [ref] , to study the unbroken supersymmetries in the presence of this flux, introduce the block diagonal matrix $M$ in the $8_v$ representation (see e.g. [ref] ): M=i=14⊕M_i, M_i=[ [ cos2πv_i sin2πv_i; -sin2πv_i cos2πv_i ] ] . where each $v_j$ is given by: exp2πiv_j=1+if_j/1-if_j.
Instantons, Twistors, and Emergent Gravity · Brane Construction · 0.88
Cites it as background 4 papers
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Other than the well known Freund-Rubin $AdS_4×S^6$ vacua [ref] , some supersymmetric solutions of the theory include D8-branes [ref] , the $K3$ compactifications [ref] , the $(D6,D8)$ and $(D4,D6,D8)$ bound states [ref] .
RG flows and cascades of $Lif_4^{(2)}\times S^1\times S^5$ vacua · $Lif^(2)_4×S^1×S^5$ vacua · 0.92
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The problem of adhering $D0$-branes to $D6$-branes in a supersymmetric manner was first considered by Witten [ref] [See also related work in [ref] .].
Constituent Model of Extremal non-BPS Black Holes · Multi-center BPS solutions and decay of the non-BPS $D0-D6$ black holes · 0.97
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Other than the nonsupersymmetric Freund-Rubin vacua in [ref] , some known BPS solutions of the theory include D8-branes [ref] , the $K3$ compactifications [ref] , the $(D6,D8)$ and $(D4,D6,D8)$ bound states [ref] .
D2-D8 system with massive strings and the Lifshitz spacetimes · $Sch_4^(3)×S^6$: massive strings · 0.94
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