Interaction between two non-threshold bound states

Abstract

A general non-threshold BPS (F, D${}_p$) (or (D${}_{p-2}$, D${}_p$)) bound state can be described by a boundary state with a quantized world-volume electric (or magnetic) flux and is characterized by a pair of integers $(m,n)$. With this, we calculate explicitly the interaction amplitude between two such non-threshold bound states with a separation $Y$ when each of the states is characterized by a pair of integers ($m_i,n_i$) with $i=1,2$. With this result, one can show that the non-degenerate (i.e., $m_i{n}_i\ne 0$) interaction is in general attractive for the case of (D${}_{p-2}$, D${}_p$) but this is true and for certain only at large separation for the case of (F, D${}_p$). In either case, this interaction vanishes only if $m_1/n_1=m_2/n_2$ and $n_1{n}_2>0$. We also study the analytic structure of the corresponding amplitude and calculate in particular the rate of pair production of open strings in the case of (F, D${}_p$).

32 pages, no figures, minor change and one reference added

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Cited by in corpus (11)

• Some aspects of interaction amplitudes of D branes carrying worldvolume fluxes
• A distinctive signature of extra-dimensions: The enhanced open string pair production
• Magnetically-enhanced open string pair production
• On D-brane interaction & its related properties
• Remark on the open string pair production enhancement
• The open string pair-production rate enhancement by a magnetic flux
• Remarks on D_p and D_{p-2} with each carrying a flux
• The long-range interactions between branes in diverse dimensions
• The D0$-$D8 system revisited
• A classification of long-range interactions between two stacks of $p$ \& $p^{\prime }$-branes
• On Schwinger pair production between D3 branes