Non-linear sigma model in string field theory

2025/09/24 by Alexander Frenkel, Manki Kim, Frenkel, Alexander +1 · 1 citation
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Physics and Python Applications #Distributed and Parallel Computing Systems #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2509.20527

openalex publication_date 2025/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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