A seam-graded expansion turns the closed string tachyon vacuum equation algebraic at every order, reducing it to matrix inversions in the zero-momentum scalar sector.
Marginal deformations in string field theory
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abstract
We describe a method for obtaining analytic solutions corresponding to exact marginal deformations in open bosonic string field theory. For the photon marginal deformation we have an explicit analytic solution to all orders. Our construction is based on a pure gauge solution where the gauge field is not in the Hilbert space. We show that the solution itself is nevertheless perfectly regular. We study its gauge transformations and calculate some coefficients explicitly. Finally, we discuss how our method can be implemented for other marginal deformations.
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Recursive-algebraic solution of the closed string tachyon vacuum equation
A seam-graded expansion turns the closed string tachyon vacuum equation algebraic at every order, reducing it to matrix inversions in the zero-momentum scalar sector.