Abstract
This is the first of a series of three papers on open string field theories based on Witten star product deformed with a gauge invariant open/closed coupling. This de- formation is a tree-level tadpole which destabilizes the initial perturbative vacuum. We discuss the existence of vacuum-shift solutions which cancel the tadpole and represent a new configuration where the initial D-brane system has adapted to the change in the closed string background. As an example we consider the bulk deformation which changes the compactification radius and, to first order in the deformation, we reproduce the shift in the mass of the open string KK modes from the new kinetic operator after the vacuum shift. We also discuss the possibility of taming closed string degenerations with the open string propagator in the simplest amplitude corresponding to two closed strings off a disk.
Highlights
In fundamental open-closed vertices and open and closed string propagators
We discuss the existence of vacuum-shift solutions which cancel the tadpole and represent a new configuration where the initial D-brane system has adapted to the change in the closed string background
In this case it turns out that we do have an explicit microscopic string field theory at our disposal which is given by open string field theory based on Witten star-product, together with a simple gauge invariant open/closed coupling with an on-shell closed string state, which is often called the Ellwood invariant [59,60,61]
Summary
The aim of this section is to study the main aspects of our work in the simpler setting of the bosonic string. Some of the main results on the structure of the effective open/closed couplings have been already discussed in detail in [70, 71], and here we will mostly focus on the physical aspects of the problem
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