Absorption of dilaton partial waves by D3-branes

Klebanov, Igor R.; Taylor, Washington; Van Raamsdonk, Mark

doi:10.1016/S0550-3213(99)00448-4

Absorption of dilaton partial waves by D3-branes

May, 1999

24 pages

Published in:

Nucl.Phys.B 560 (1999) 207-229

e-Print:

hep-th/9905174 [hep-th]

DOI:

10.1016/S0550-3213(99)00448-4

Report number:

PUPT-1865,
MIT-CTP-2866

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Abstract:

We calculate the leading term in the low-energy absorption cross section for an arbitrary partial wave of the dilaton field by a stack of many coincident D3-branes. We find that it precisely reproduces the semiclassical absorption cross section of a 3-brane geometry, including all numerical factors. The crucial ingredient in making the correspondence is the identification of the precise operators on the D3-brane world-volume which couple to the dilaton field and all its derivatives. The needed operators are related through T-duality and the IIA/M-theory correspondence to the recently determined M(atrix) theory expressions for multipole moments of the 11D supercurrent. These operators have a characteristic symmetrized trace structure which plays a key combinatorial role in the analysis for the higher partial waves. The results presented here give new evidence for an infinite family of non-renormalization theorems which are believed to exist for two-point functions in

{\cal N} = 4

gauge theory in four dimensions.

Note:

24 pages, LaTeX Report-no: PUPT-1865, MIT-CTP-2866

11.15.-q
11.25.-w
04.70.Dy
D-branes
Black holes
membrane model: D-brane
coupling: dilaton
partial wave
cross section: absorption
approximation: semiclassical

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