13,656 research outputs found

    Remark on the open string pair production enhancement

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    Recent studies by one of the present authors along with his collaborators in [1-4] show that there exist the so-called open string pair production for a possible simplest system of two Dp branes, placed parallel at a separation and with each carrying different electric flux, in Type II superstring theories. Further this pair production can be greatly enhanced when a magnetic flux, sharing no common field strength index with the electric one, is added, implying then pβ‰₯3p \ge 3. Given this, one may wonder if further enhancement can be achieved by adding more magnetic flux(es) in a similar fashion. In this paper, we explore this possibility. It turns out that adding more such magnetic flux diminishes rather than enhances the pair production rate. This actually implies that the largest enhancement occurs at p=3p = 3 when the same realistic electric and magnetic fluxes are applied for all pβ‰₯3p \ge 3. Curiously one of D3 branes may be our own world and if so, the enhancement gives a possible opportunity to detect the pair production, therefore to test the underlying string theories.Comment: 14 pages, 0 figure

    On the structure of Enduk(2)(Ξ©kβŠ—r)End_{u_k(2)}(\Omega_k^{\otimes r})

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    Let uk(2)u_k(2) be the infinitesimal quantum gl2\frak{gl}_2 over kk, where kk is a field containing an llth primitive root Ο΅\epsilon of 1 with lβ‰₯3l\geq 3 {\it odd}. We will determine the basic algebra for uk(2)(Ξ©kβŠ—r){u_k(2)}(\Omega_k^{\otimes r}), where Ξ©k\Omega_k is the natural module for uk(2)u_k(2)
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