{"arxiv_id":"0909.3153","incoming":{"papers":2,"sentences":3,"groups":[{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2204.02981","title":"D-instanton Induced Superpotential","url":"/paper/2204.02981","section":"Introduction","sentence":"D-instanton contributions to the superpotential in type II string theory on Calabi-Yau orientifolds have been extensively studied earlier in the literature, see e.g. [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"0910.0843","title":"Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models","url":"/paper/0910.0843","section":"Introduction","sentence":"Gauge threshold corrections for intersecting D6-branes have been considered before in to­roi­dal backgrounds [ref] for vanishing Wilson line and displacement 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.","intent_p":0.96,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":3,"sentences":3,"quotes":[{"arxiv_id":"0803.1562","title":"Power Towers of String Instantons for N=1 Vacua","url":"/paper/0803.1562","section":"Computation in a concrete model","sentence":"Completely analogously one finds for the poly-instanton D1$_2$-D1$_4$ [ref] [equation] By comparing these results with the expression for the contributions of worldsheet instantons to the gauge threshold corrections in the dual heterotic model, one finds that [ref] is equal to the summand with $p=2$, $k=1/2$, $j=0$ and $a=4$ in [ref], and [ref] to that with $p=1$, $k=1$, $j=1/2$ and $a=2$.","intent_p":0.88,"contests_p":null},{"arxiv_id":"hep-th/9907041","title":"World-Sheet Corrections Via D-Instantons","url":"/paper/hep-th/9907041","section":"Corrections to the superpotential","sentence":"It is interesting to compare [ref] to the formula [ref] (adapted to the case of D2-instantons) [equation] for the 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