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  • Field Theory
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Closed string deformations in open string field theory II: superstring

Carlo Maccaferri, Jakub Vošmera

8/3/21 Published in : arXiv:2103.04920

This is the second paper of a series of three. We construct effective open-closed superstring couplings by classically integrating out massive fields from open superstring field theories coupled to an elementary gauge invariant tadpole proportional to an on-shell closed string state in both large and small Hilbert spaces, in the NS sector. This source term is well known in the WZW formulation and by explicitly performing a novel large Hilbert space perturbation theory we are able to characterize the first orders of the vacuum shift solution, its obstructions and the non-trivial open-closed effective couplings in closed form. With the aim of getting all order results, we also construct a new observable in the A_\infty theory in the small Hilbert space which correctly provides a gauge invariant coupling to physical closed strings and which descends from the WZW open-closed coupling upon partial gauge fixing and field redefinition. Armed with this new A_\infty observable we use tensor co-algebra techniques to efficiently package the whole perturbation theory necessary for computing the effective action and we give all order results for the open-closed effective couplings in the small Hilbert space.

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Research project(s)

  • String Theory

A characterisation of the continuum Gaussian free field in d \geq 2 dimensions

Closed string deformations in open string field theory III: {\cal N}=2 worldsheet localization

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