Loop Variables and Gauge Invariance in Closed Bosonic String Theory

Details Loop Variables and Gauge Invariance in Closed Bosonic String Theory Loop Variables and Gauge Invariance in Closed Bosonic String Theory

2004-05-13

arxiv.org/abs/hep-th/0405119v1

Mod.Phys.Lett. A19 (2004) 2857

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, Latex file

Scientific paper

10.1142/S0217732304015713

We extend an earlier proposal for a gauge invariant description of off-shell open strings (at tree level), using loop variables, to off-shell closed strings (at tree level). The basic idea is to describe the closed string amplitudes as a product of two open string amplitudes (using the technique of kawai, Lewellen and Tye). The loop variable techniques that were used earlier for open strings can be applied here {\it mutatis mutandis}. It is a proposal for a theory whose on-shell amplitudes coincide with those of the closed bosonic string in 26 dimensions. It is also gauge invariant off-shell. As was the case with the open string, the interacting closed string looks like a free closed string thickened to a band.

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