On D-brane interaction & its related properties

Abstract

We compute the closed-string cylinder amplitude between one Dp brane and the other Dp$\prime$ brane, placed parallel at a separation, with each carrying a general constant worldvolume flux and with $p-p^{\prime }=0,2,4,6$ and $p\le 6$. For the $p=p^{\prime }$, we show that the main part of the amplitude for $p=p^{\prime }<5$ is a special case of that for $p=p^{\prime }=5$ or $6$ case. For all other $p-p^{\prime }=2,4,6$ cases, we show that the amplitude is just a special case of the corresponding one for $p=p^{\prime }$ case. Combining both, we obtain the general formula for the amplitude, which is valid for each of the cases considered and for arbitrary constant worldvolume fluxes. The corresponding general open string one-loop annulus amplitude is also obtained by a Jacobi transformation of the general cylinder one. We give also the general open string pair production rate. We study the properties of the amplitude such as the nature of the interaction, the open string tachyonic instability, and the possible open string pair production and its potential enhancement. In particular, in the presence of pure magnetic fluxes or magnetic-like fluxes, we find that the nature of interaction is correlated with the existence of potential open string tachyonic instability. When the interaction is attractive, there always exists an open string tachyonic instability when the brane separation reaches the minimum determined by the so-called tachyonic shift. When the interaction is repulsive, there is no such instability for any brane separation. We also find that the enhancement of open string pair production, in the presence of pure electric fluxes, can occur only for the $p-p^{\prime }=2$ case.

83 pages, 2 tables, discussion right after eq(168) improved, typos corrected

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• Bound States Of Strings And $p$-Branes
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• String Solitons
• Branes Intersecting at Angles
• Toward Realistic Intersecting D-Brane Models
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• D-brane actions
• Light-cone supersymmetry and D-branes
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• Mixed Boundary Conditions and Brane-String Bound States
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• On Brane-Antibrane Forces
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• (F,Dp) bound states from the boundary state
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• Non-threshold (F, Dp) bound states
• Superstring Scattering from D-Branes Bound States
• New angles on D-branes
• String Phase Transitions in a Strong Magnetic Field
• Born-Infeld Dynamics in Uniform Electric Field
• D-brane and Gauge Invariance in Closed String Field Theory
• (m,n)-String-Like Dp-Brane Bound States
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Cited by in corpus (6)

• A note on the open string pair production of the D3/D1 system
• Closed String Radiation from the Interaction of the Moving D$p$-branes with Background Fields
• On Schwinger pair production between D3 branes
• Schwinger Effect in Compact Space
• Pair Creation of Open Strings between the Unstable-Dressed D$p$-branes
• The compactified D-brane cylinder amplitude and T duality