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Boundary terms in string field theory

Atakan Hilmi Fırat
(
- UC, Davis, QMAP
)
,
Raji Ashenafi Mamade
(
- MIT
)

Nov 25, 2024

25 pages

Published in:

JHEP 02 (2025) 058

Published: Feb 11, 2025

e-Print:

2411.16673 [hep-th]

DOI:

10.1007/JHEP02(2025)058

Report number:

MIT-CTP-5810

View in:

ADS Abstract Service

reference search3 citations

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Abstract: (Springer)

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.

Note:

25 pages; v2: journal version

String Field Theory
Sigma Models

References(41)

Figures(0)

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