One Loop Tadpole in Heterotic String Field Theory

Abstract

We compute the off-shell 1-loop tadpole amplitude in heterotic string field theory. With a special choice of cubic vertex, we show that this amplitude can be computed exactly. We obtain explicit and elementary expressions for the Feynman graph decomposition of the moduli space, the local coordinate map at the puncture as a function of the modulus, and the $b$-ghost insertions needed for the integration measure. Recently developed homotopy algebra methods provide a consistent configuration of picture changing operators. We discuss the consequences of spurious poles for the choice of picture changing operators.

arXiv commentv3: 36 pages, 8 figures. Figure 8 corrected

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• D-instantons, String Field Theory and Two Dimensional String Theory
• Bootstrapping closed string field theory
• Hyperbolic string tadpole
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• Quantum Closed Superstring Field Theory and Hyperbolic Geometry I: Construction of String Vertices
• Operator Ordering Ambiguity and Third Quantization
• Algebraic Structures In Closed Superstring Field Theory, Homotopy Transfer And Effective Actions
• $A_{\infty }$ perspective to Sen's formalism