Exact noncommutative solitons in p-adic strings and BSFT

Details Exact noncommutative solitons in p-adic strings and BSFT Exact noncommutative solitons in p-adic strings and BSFT

2004-06-28

arxiv.org/abs/hep-th/0406259v2

JHEP0409:041,2004

Physics

High Energy Physics

High Energy Physics - Theory

1+14 pages (harvmac b), 1 eps figure, v2: references added, typos corrected

Scientific paper

10.1088/1126-6708/2004/09/041

The tachyon field of p-adic string theory is made noncommutative by replacing ordinary products with noncommutative products in its exact effective action. The same is done for the boundary string field theory, treated as the p -> 1 limit of the p-adic string. Solitonic lumps corresponding to D-branes are obtained for all values of the noncommutative parameter theta. This is in contrast to usual scalar field theories in which the noncommutative solitons do not persist below a critical value of theta. As theta varies from zero to infinity, the solution interpolates smoothly between the soliton of the p-adic theory (respectively BSFT) to the noncommutative soliton.

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