Exact noncommutative solitons in p-adic strings and BSFT

Abstract

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.

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

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Cited by in corpus (13)

• On the relation between p-adic and ordinary strings
• p-Adic open string amplitudes with Chan-Paton factors coupled to a constant B-field
• Towards p-Adic String in Constant B-Field
• Meromorphic Continuation of Koba-Nielsen String Amplitudes
• Some Lagrangians with Zeta Function Nonlocality
• Deformation of p-adic String Amplitudes in a Magnetic Field
• Noncommutative Tachyon Kinks as D$(p-1)$-branes from Unstable D$p$-brane
• Light-like tachyon condensation in Open String Field Theory
• On $p$-adic string amplitudes in the limit $p$ approaches to one
• Tachyon Potential in a Magnetic Field with Anomalous Dimensions
• Quantum Extended Arithmetic Veneziano Amplitude
• Local Zeta Functions and Koba-Nielsen String Amplitudes
• D-branes, actions effectives et symétrie miroir