A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
On the Background Independence of String Field Theory: III. Explicit Field Redefinitions
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abstract
Given two conformal field theories related to each other by a marginal perturbation, and string field theories constructed around such backgrounds, we show how to construct explicit redefinition of string fields which relate these two string field theories. The analysis is carried out completely for quadratic and cubic terms in the action. Although a general proof of existence of field redefinitions which relate higher point vertices is not given, specific examples are discussed. Equivalence of string field theories formulated around two conformal field theories which are not close to each other, but are related to each other by a series of marginal deformations, is also discussed. The analysis can also be applied to study the equivalence of different formulation of string field theories around the same background.
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Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.
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Higher Connection in Open String Field Theory
A 2-form connection is defined in the space of open string field theory solutions, producing invariant higher holonomies and 3-form curvature potentially corresponding to the B-field.
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Closed String Field Theory in 25.99 Dimensions
Refines closed string field theory for non-critical backgrounds such as D=26-ε flat space and linear dilaton profiles, constructing the classical BV action at genus zero and extending background independence to first order off the conformal locus.