Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-24
Nucl.Phys. B522 (1998) 158-192
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, Latex, 9 figures (eps. files), Analyses based on M-theory are added. final version to appear in Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(98)00265-X
We give a confirmation of U-duality of type II superstring by discussing mass spectrum of the BPS states. We first evaluate the mass spectrum of BPS solitons with one kind of R-R charges. Our analysis is based on the 1-loop effective action of D-brane, which is known as ``Dirac-Born-Infeld (DBI) action'', and the fact that BPS states correspond to the SUSY cycles with minimal volumes. We show the mass formula derived in this manner is completely fitted with that given by U-duality. We further discuss the cases of BPS solitons possessing several kinds of R-R charges. These are cases of ``intersecting D-branes'', which cannot be described by simple DBI actions. We claim that, in these cases, higher loop corrections should be incorporated as binding energies between the branes. It is remarkable that the summation of the contributions from all loops reproduces the correct mass formula predicted by U-duality.
Sugawara Yuji
Sugiyama Katsuyuki
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