Higher Connection in Open String Field Theory
Year: 2026
Type: preprint
Abstract: We define a 2-form connection in the space of classical solutions of the bosonic open string field theory, using the open string star product and integration. The corresponding higher holonomies and the 3-form curvature are new observables invariant under the infinite-dimensional gauge algebra of open string field theory. The definition is analogous to that of Berry phase in quantum mechanics and is motivated by recent studies on higher Berry phase in condensed matter physics and quantum field theory. We suggest identifying this 2-form connection with the Kalb-Ramond $B$-field of the closed string background at least in favorable situations. Also discussed are sigma models whose target space is the moduli space of conformal boundary conditions of a two-dimensional CFT with the $B$-field given by a cousin of this 2-form connection.
Source: arXiv (Cornell University)
Author: Choi, Yichul
Institution: Institute for Advanced Study
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7129728470
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