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Microscopic string analysis of the D0-D8 brane system and dual R-R states
High Energy Physics - Theory · Submitted 12 Feb 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim If we specify to the D0-D8 brane system, this mechanism implies that the R-R 1-form state has a non-zero overlap with both the D0-brane and the D8-brane, thus explaining from a local point of view the non-vanishing R-R contribution in the interaction for the D0-D8 brane system and those related to it by duality.
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The abstract, sentence by sentence
Using the boundary state formalism, we perform a microscopic string analysis of the interaction between two D-branes and provide a local interpretation for the R-R force in the D0-D8 brane system. To do so, we construct BRST invariant vertex operators for the massless R-R states in the asymmetric picture that are proportional to potentials rather than field strengths. The Hilbert space of such R-R states contains combinations of two vectors that decouple from all physical amplitudes, even in the presence of boundaries. Identifying these vectors, we remove the null states and recover duality relations among R-R potentials. If we specify to the D0-D8 brane system, this mechanism implies that the R-R 1-form state has a non-zero overlap with both the D0-brane and the D8-brane, thus explaining from a local point of view the non-vanishing R-R contribution in the interaction for the D0-D8 brane system and those related to it by duality.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using the boundary state formalism, we perform a microscopic string analysis of the interaction between two D-branes and provide a local interpretation for the R-R force in the D0-D8 brane system. | contribution 0.99 | 0.96 | 0.31 | asserted 1.00 |
| s1 | To do so, we construct BRST invariant vertex operators for the massless R-R states in the asymmetric picture that are proportional to potentials rather than field strengths. | method 0.96 | 0.95 | 0.04 | asserted 1.00 |
| s2 | The Hilbert space of such R-R states contains combinations of two vectors that decouple from all physical amplitudes, even in the presence of boundaries. | result 0.93 | 0.79 | 0.05 | asserted 1.00 |
| s3 | Identifying these vectors, we remove the null states and recover duality relations among R-R potentials. | method 0.59 | 0.91 | 0.09 | asserted 1.00 |
| s4 | If we specify to the D0-D8 brane system, this mechanism implies that the R-R 1-form state has a non-zero overlap with both the D0-brane and the D8-brane, thus explaining from a local point of view the non-vanishing R-R contribution in the interaction for the D0-D8 brane system and those related to it by duality. | interpretation 0.93 | 0.86 | 0.85 | asserted 0.82 |
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The paper
Original abstract
Using the boundary state formalism, we perform a microscopic string analysis of the interaction between two D-branes and provide a local interpretation for the R-R force in the D0-D8 brane system. To do so, we construct BRST invariant vertex operators for the massless R-R states in the asymmetric picture that are proportional to potentials rather than field strengths. The Hilbert space of such R-R states contains combinations of two vectors that decouple from all physical amplitudes, even in the presence of boundaries. Identifying these vectors, we remove the null states and recover duality relations among R-R potentials. If we specify to the D0-D8 brane system, this mechanism implies that the R-R 1-form state has a non-zero overlap with both the D0-brane and the D8-brane, thus explaining from a local point of view the non-vanishing R-R contribution in the interaction for the D0-D8 brane system and those related to it by duality.
Human review
References
How the literature uses it
35 arXiv papers cite this in 105 sentences
Papers citing it · 65 sentences without a confident label
Builds on it 2 papers
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As we will show, the duality relationship so obtained is more generic than is described in [ref] and can be shown to exist between many other components of the potential.
String Creation, D-branes and Effective Field Theory · Introduction · 0.95
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The discussion there is a simple adaptation to the $d=6$ setup of the analysis carried out in [ref] for the $d=4$ noncritical superstring $ℝ^1,3 ×SL(2,ℝ)_1/U(1)$ and in [ref] for the 10d critical superstring.
On Supergravity and Noncritical Strings · Boundary states for noncritical strings · 0.92
Uses its method or tool 15 papers
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Using the newly defined $Γ$-matrices, we have $^ (0)_R-R⟨B_ψ^0,η^0 | B_ψ^8,η^8⟩_R-R^(0) = -_̣η^0η^8,-Tr(Γ̃^0Γ^9)$, where the trace can now be regularized following the regularization procedure given in [ref] since the $Γ̃^0$ is one along a NN-direction and $Γ^9$ is one along a DD-direction.
The D0$-$D8 system revisited · The D8 with an electric flux · 0.91
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The quantities $x,y$ regulate these divergences [ref] and in the end we must set $x,y = 1$.
String Creation, D-branes and Effective Field Theory · Open-string description of the D$p$-D$(8-p)$ system · 0.91
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We compute first the closed-string cylinder amplitude using the closed string boundary state representation of D-brane [ref] , which has the advantage of holding true for a general worldvolume constant flux [ref] .
On D-brane interaction & its related properties · Introduction · 0.98
Uses its data or values 1 paper
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We have then, taking $i = 1$ for example, F^(1)_C_p + 1/C_p-7 = 8 m_1 n_2 c_0 c_8 = 8 m_1 n_2 1/4π', where we have used the exact value of $c_p$ for D$_p$-brane as $c_p=√(π)(2π√('))^3-p$ [ref] .
The long-range interactions between branes in diverse dimensions · The $k = 4$ case · 0.82
Compares with it 1 paper
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The same conclusion as in [ref] , of a non-zero RR exchange is reached without encountering divergences.
String Creation, D-branes and Effective Field Theory · Conclusion · 0.91
Cites it as support 1 paper
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Notice that the state [ref] appears generically in the expansion of the NSNS part of the full boundary state (see for instance [ref] ), supporting the claim that this is the form of the dilaton state to be used in disk amplitudes without momentum flow in the Neumann directions.
New D1-D5-P geometries from string amplitudes · Closed string vertices · 0.99
Cites it as background 6 papers
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For later convenience, we give a brief description of each and refer to [ref] for detail.
The D0$-$D8 system revisited · The D8 with an electric flux · 0.97
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A full discussion of the GSO projected states and the ghost states can be found in [ref] .
String Creation, D-branes and Effective Field Theory · Boundary states and extra duality relations · 0.96
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A rather complete account of this is given in [ref] .
The open string pair-production rate enhancement by a magnetic flux · The boundary state · 0.96
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