Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-06-02
Eur.Phys.J.C64:161-166,2009
Physics
High Energy Physics
High Energy Physics - Theory
1+13 pages, No figure; Expanded, published version. Title changed
Scientific paper
10.1140/epjc/s10052-009-1132-x
We propose a novel prescription to take off the square root of Nambu-Goto action for a p-brane, which generalizes the Brink-Di Vecchia-Howe-Tucker or also known as Polyakov method. With an arbitrary decomposition as d+n=p+1, our resulting action is a modified d-dimensional Polyakov action which is gauged and possesses a Nambu n-bracket squared potential. We first spell out how the (p+1)-dimensional diffeomorphism is realized in the lower dimensional action. Then we discuss a possible gauge fixing of it to a direct product of $d$-dimensional diffeomorphism and n-dimensional volume preserving diffeomorphism. We show that the latter naturally leads to a novel Filippov-Lie n-algebra based gauge theory action in d-dimensions.
Park Jeong-Hyuck
Sochichiu Corneliu
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