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Boundary terms in string field theory

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arxiv 2411.16673 v2 pith:G7XMBTAB submitted 2024-11-25 hep-th

classification hep-th
keywords boundaryactionstringtermstheoryfieldfailurelevel
verification ladder T0 review T1 audit T2 compute T3 formal
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We supplement the string field theory action with boundary terms to make its variational principle well-posed. Central to our considerations is the violation of the stress-energy tensor conservation in non-compact CFTs due to the boundary terms. This manifests as the failure of the cyclicity of the BRST operator, which encodes the target space integration by parts identities at the level of the worldsheet. Using this failure, we argue that the free closed string field theory action admits a well-posed variational principle upon including an additional boundary contribution. We explicitly work out the resulting action up to the massless level and show that it is related to the expansion of the low-energy effective string action endowed with the Gibbons-Hawking-York term on a flat background. We also discuss the structure of the boundary terms in the interacting theory.

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Cited by 4 Pith papers

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

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

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