Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-07-24
Nucl.Phys.B759:399-446,2006
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 55+1 pages, v2: typos corrected, references added; v3: more typos corrected, footnote added
Scientific paper
10.1016/j.nuclphysb.2006.10.010
We derive and carry out a detailed analysis of the equations of motion of the type IIB D branes in generic supergravity backgrounds with fluxes making account of the worldvolume Born-Infeld gauge field and putting a special emphasis on the structure of the Dirac equation for Dp brane fermionic modes. We present an explicit form of the worldvolume field equations for each of the Dp branes (p=1,3,5,7,9) in the cases in which the Neveu-Schwarz flux and the Ramond-Ramond p-form flux along the Dp-brane worldvolume are zero and the supergravity backgrounds do not necessarily induce the worldvolume Born-Infeld flux. We then give several examples of D3, D5 and D7 brane configurations in which the worldvolume Born-Infeld flux is intrinsically non-zero and therefore must be taken into account in studying problems where such branes are involved. The examples include D3 and D5 brane instantons carrying (self-dual) worldvolume gauge fields in warped compactification backgrounds.
Bandos Igor
Sorokin Dmitri
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