BCFT and OSFT moduli: an exact perturbative comparison

Abstract

Starting from the pseudo-${\mathcal{B}}_0$ gauge solution for marginal deformations in OSFT, we analytically compute the relation between the perturbative deformation parameter $\tilde{\lambda }$ in the solution and the BCFT marginal parameter $\lambda$, up to fifth order, by evaluating the Ellwood invariants. We observe that the microscopic reason why $\tilde{\lambda }$ and $\lambda$ are different is that the OSFT propagator renormalizes contact term divergences differently from the contour deformation used in BCFT

26+5 pages, 10 figures V2: minor improvements, published version

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