1999/10/06 by Washington Taylor, Washington Taylor IV, Mark Van Raamsdonk · 171 citations
Physics and Astronomy · #Abelian group #Action (physics) #Black Holes and Theoretical Physics #Effective action #Higher-dimensional supergravity #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Supergravity #TRACE (psycholinguistics) #hep-th
paper · pdf · doi:10.1016/s0550-3213(00)00006-7
published in Nuclear Physics B 573(3), 703-734 (Elsevier BV) · 35 pages, LaTeX
arxiv created 1999/10/06 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We find the terms in the nonabelian world-volume action of a system of many Dp-branes which describe the leading coupling to all type II supergravity background fields. These results are found by T-dualizing earlier results for D0-branes, which in turn were determined from calculations of the M(atrix) theory description of the supercurrent of 11D supergravity. Our results are compatible with earlier results on the supersymmetric Born-Infeld action for a single D-brane in a general background and with Tseytlin's symmetrized trace proposal for extending the abelian Born-Infeld action to a nonabelian theory. In the case p = 3, the operators we find on the D-brane world-volume are closely related to those which couple to supergravity fields in the AdS5 * S5 IIB supergravity background. This gives an explicit construction, including normalization, of some of the operators used in the celebrated AdS/CFT correspondence for 3-branes. We also discuss the S-duality of the action in the case p = 3, finding that the S-duality of the action determines how certain operators in the 4D N = 4 SYM theory transform under S-duality. These S-duality results give some new insight into the puzzle of the transverse 5-brane in M(atrix) theory.