Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds

Details Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds

1998-12-28

arxiv.org/abs/hep-th/9812239v3

JHEP 9904:013,1999

Physics

High Energy Physics

High Energy Physics - Theory

71 pages, LaTeX; v2: added references, fixed minor typos v3: minor errors fixed, comments added

Scientific paper

10.1088/1126-6708/1999/04/013

The leading terms in the long-range interaction potential between an arbitrary pair of matrix theory objects are calculated at one-loop order. This result generalizes previous calculations by including arbitrary fermionic background field configurations. The interaction potential at orders 1/r^7 and 1/r^8 is shown to correspond precisely with the leading terms expected from linearized supergravity interactions between arbitrary objects in M-theory. General expressions for the stress tensor, membrane current and 5-brane current of an arbitrary matrix configuration are derived, including fermionic contributions. Supergravity effects which are correctly reproduced include membrane/5-brane interactions, 0-brane/6-brane interactions, supercurrent/supercurrent interactions and the spin contributions to moments of the supergravity currents. The matrix theory description of the supergravity stress tensor, membrane current and 5-brane current are used to propose an explicit formulation of matrix theory in an arbitrary background metric and 3-form field.

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