A covariant phase space symplectic form is constructed for any L∞ Lagrangian field theory using a 'sigmoid' operator, and is verified in scalar, Yang-Mills, general relativity, and p-adic string examples.
Tachyon Condensation and Brane Descent Relations in p-adic String Theory
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It has been conjectured that an extremum of the tachyon potential of a bosonic D-brane represents the vacuum without any D-brane, and that various tachyonic lump solutions represent D-branes of lower dimension. We show that the tree level effective action of p-adic string theory, the expression for which is known exactly, provides an explicit realisation of these conjectures.
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Covariant phase space and $L_\infty$ algebras
A covariant phase space symplectic form is constructed for any L∞ Lagrangian field theory using a 'sigmoid' operator, and is verified in scalar, Yang-Mills, general relativity, and p-adic string examples.