Maxwell $F^N$ Characteristic Equation Algorithm Applied to Abelian Born-Infeld Action in Dp-branes

Details Maxwell $F^N$ Characteristic Equation Algorithm Applied to Abelian Born-Infeld Action in Dp-branes Maxwell $F^N$ Characteristic Equation Algorithm Applied to Abelian Born-Infeld Action in Dp-branes

2003-01-09

arxiv.org/abs/hep-th/0301051v1

Proc. 19th SPP Phil. Phys. Congress, October 2001, p427-429

Physics

High Energy Physics

High Energy Physics - Theory

3 pages IEEE-format article using LaTeX

Scientific paper

An algorithm is devised to generate characteristic identities between Maxwell fieldstrength invariants (traced over Lorentz indices and disregarding ordering) that suffer linear dependence in certain dimensionalities as they have been originally obtained using a Maple routine. These relations between invariants are then applied to simplify the Abelian Born-Infeld (ABI) effective action in arbitrary degree of fieldstrength invariants. I have explicitly displayed the simplified ABI action in 4, 6, 8, 10, and 12 space-time dimensions relevant in Dp-branes.

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