String with noncommutative world-sheet and stringy instantons

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeXe, 11 pages, no figures. References added and typos corrected

Scientific paper

10.1016/S0370-2693(02)01500-9

The model of the bosonic string with the noncommutative world-sheet geometry is proposed in the framework of Fedosov's deformation quantization. The re-interpretation of the model in terms of bosonic string coupled to infinite multiplet of background fields is given and the link to the W-symmetry is discussed. For the case of d=4 Euclidean target space, the stringy counterparts of the Yang-Mills instantons are constructed in both commutative and noncommutative regimes.

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