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Hyperbolic string tadpole

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arxiv 2306.08599 v2 pith:NDJ67C5K submitted 2023-06-14 hep-th math.CV

classification hep-thmath.CV
keywords stringvertexhyperbolictadpoletheorygeometrytorusaccessory
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Hyperbolic geometry on the one-bordered torus is numerically uniformized using Liouville theory. This geometry is relevant for the hyperbolic string tadpole vertex describing the one-loop quantum corrections of closed string field theory. We argue that the Lam\'e equation, upon fixing its accessory parameter via Polyakov conjecture, provides the input for the characterization. The explicit expressions for the Weil-Petersson metric as well as the local coordinates and the associated vertex region for the tadpole vertex are given in terms of classical torus conformal blocks. The relevance of this vertex for vacuum shift computations in string theory is highlighted.

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  1. Boundary terms in string field theory

    hep-th 2024-11 conditional novelty 7.0 of 10

    The free closed string field theory action is supplemented with a boundary term, derived from the failure of BRST cyclicity, that reproduces the Gibbons-Hawking-York term at low energies.

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