Starting from the pseudo-B 0 gauge solution for marginal deformations in OSFT, we analytically compute the relation between the perturbative deformation parameter λ in the solution and the BCFT marginal parameter λ, up to fifth order, by evaluating the Ellwood invariants. We observe that the microscopic reason whyλ and λ are different is that the OSFT propagator renormalizes contact-term divergences differently from the contour deformation used in BCFT.
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