Abstract
We investigate short distance singularities inside the Polyakov path integral in an arbitrary closed bosonic string background due to vertex operators and small handles or holes. The latter are represented in terms of handle or hole operators, which we construct explicitly. The requirement of global Weyl invariance generates loop-corrected equations of motion for the string modes including tadpole terms and self-energy corrections. The relation to theS-matrix and superstrings are discussed briefly.
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Ellwanger, U., Schmidt, M.G. Loop-corrected string field equations from world-sheet Weyl invariance. Z. Phys. C - Particles and Fields 43, 485–496 (1989). https://doi.org/10.1007/BF01506545
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DOI: https://doi.org/10.1007/BF01506545