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Transferring $A_\infty$ (strongly homotopy associative) structures

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abstract

We give explicit formulas for transfers of $A_\infty$-structures and related maps and homotopies in the most easy situation in which these transfers exist. One half of our formulas was already known to Kontsevich-Soibelman and to Merkulov who derived them, without explicit signs, under slightly stronger assumptions than those made in this note.

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  • A consistent light-cone-gauge superstring field theory hep-th · 2024-11-29 · conditional · none · ref 27 · internal anchor

    A stubbed light-cone-gauge superstring field theory is constructed from the Witten-type A-infinity theory via Kaku-type and Kugo-Zwiebach-type theories.