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Diffeomorphism in Closed String Field Theory

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arxiv 2504.12290 v1 pith:4UP7BIOI submitted 2025-04-16 hep-th

classification hep-th
keywords stringdiffeomorphismfieldfieldstheoryclosedspacetimeallows
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We explain how the spacetime diffeomorphism in the classical bosonic closed string field theory (SFT) is represented as $L_\infty$ gauge transformations in weakly curved backgrounds. In particular, we demonstrate the explicit map between covariant spacetime fields and the string fields in the flat-vertex frame to the leading few orders in perturbation theory. We further consider a Batalin-Vilkovisky system of extended string fields that manifests diffeomorphism invariance and allows for extending certain perturbative SFT solutions to the large field regime.

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Cited by 5 Pith papers

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

  1. Covariant phase space and $L_\infty$ algebras

    hep-th 2025-06 conditional novelty 7.0 of 10

    A covariant phase space symplectic form is constructed for any L∞ Lagrangian field theory using a 'sigmoid' operator, and is verified in scalar, Yang-Mills, general relativity, and p-adic string examples.

  2. 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.

  3. Symplectic structure in open string field theory III: Electric field

    hep-th 2026-04 conditional novelty 6.0 of 10

    OSFT symplectic energy of a constant-electric-flux D-brane matches the DBI energy via a generalized Ellwood invariant for nonpolynomial theories.

  4. On the $AdS_5\times S^5$ Solution of Superstring Field Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    The AdS5 x S5 background of type IIB superstring field theory is constructed explicitly to third order in the large-radius expansion, with maximal super-isometry verified to second order and the massless RR axion iden...

  5. 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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