Non-linear sigma model in string field theory
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915511765303296 |
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| author | Frenkel, Alexander Kim, Manki |
| author_facet | Frenkel, Alexander Kim, Manki |
| contents | We revisit the non-linear sigma model approach to string theory with the closed superstring field theory. We construct the string field theory around the non-linear sigma model background with the patch-by-patch description. We show that our string field theory action is invariant under the gauge transformation and solves the BV master equation, thereby providing a tool to study quantum gravitational effects in curved backgrounds in small $α'$ and $g_s$ approximation. We illustrate how to use our results to study curved backgrounds in $α'$ expansion by studying Calabi-Yau compactification in $α'$ expansion. We draw connections between Tseytlin's approach to the non-linear sigma model and the string field theoretic approach. We comment on future directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-linear sigma model in string field theory Frenkel, Alexander Kim, Manki High Energy Physics - Theory We revisit the non-linear sigma model approach to string theory with the closed superstring field theory. We construct the string field theory around the non-linear sigma model background with the patch-by-patch description. We show that our string field theory action is invariant under the gauge transformation and solves the BV master equation, thereby providing a tool to study quantum gravitational effects in curved backgrounds in small $α'$ and $g_s$ approximation. We illustrate how to use our results to study curved backgrounds in $α'$ expansion by studying Calabi-Yau compactification in $α'$ expansion. We draw connections between Tseytlin's approach to the non-linear sigma model and the string field theoretic approach. We comment on future directions. |
| title | Non-linear sigma model in string field theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.20527 |