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$A_\infty$ perspective to Sen's formalism

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arxiv 2405.05310 v2 pith:XW4V4CKC submitted 2024-05-08 hep-th

classification hep-th
keywords fieldsformalismalgebracyclicdynamicalinftyspuriousalgebraic
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abstract

Sen's formalism is a mechanism for eliminating constraints on the dynamical fields that are imposed independently from equations of motion by employing spurious free fields. In this note a cyclic homotopy associative algebra underlying Sen's formalism is developed. The novelty lies in the construction of a symplectic form and cyclic $A_\infty$ maps on an extended algebra that combines the dynamical and spurious fields. This algebraic presentation makes the gauge invariance of theories using Sen's formulation manifest.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Type II RR string fields and exotic diffeomorphisms

    hep-th 2025-05 accept novelty 7.0 of 10

    The paper computes explicit gauge transformations and interactions for all Ramond-Ramond fields in type II string field theory, revealing diffeomorphisms that are not standard Lie derivatives.

  2. Gauge algebra and diffeomorphisms in string field theory

    hep-th 2025-05 accept novelty 6.0 of 10

    To leading order in derivatives, the superstring gauge algebra of diffeomorphisms is independent of the off-shell vertex choice, whereas bosonic strings retain off-shell dependence for non-symmetric vertices.

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