{"arxiv_id":"hep-th/0001133","incoming":{"papers":13,"sentences":27,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":2,"quotes":[{"arxiv_id":"2211.05804","title":"Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory","url":"/paper/2211.05804","section":"The conifold as a gravitational small instanton transition","sentence":"For example, if one were to obtain $V̂$ via the following Hecke transform instead [ref] 0 →V̂ →V ⊕O→F_C →0 , one would obtain a $V̂$ whose rank is one greater than that of $V$.","intent_p":0.89,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1912.00971","title":"Extending the Geometry of Heterotic Spectral Cover Constructions","url":"/paper/1912.00971","section":"New Chirality Changing Small Instanton Transitions","sentence":"In particular, the example above is a chirality changing transition that is unique compared to those classified in [ref] for Weierstrass form (in which “vertical\" transitions changed only the gauge group and “horizontal\" curves led to chirality change).","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":5,"sentences":8,"quotes":[{"arxiv_id":"2211.05804","title":"Branes and Bundles through Conifold Transitions and Dualities in Heterotic String Theory","url":"/paper/2211.05804","section":"Bundles through the conifold transition","sentence":"As first described in [ref] , and reviewed in Section [ref], the mathematical process of “absorbing\" a 5-brane into a vector bundle proceeds in several steps.","intent_p":0.8,"contests_p":null},{"arxiv_id":"1912.00971","title":"Extending the Geometry of Heterotic Spectral Cover Constructions","url":"/paper/1912.00971","section":"Small Instanton Transitions and Spectral Covers","sentence":"This subject was first explored in depth in [ref] and there a simple form for such transitions were found for smooth spectral covers within Weierstrass models.","intent_p":0.84,"contests_p":null},{"arxiv_id":"1010.5509","title":"Toward the Gravity Dual of Heterotic Small Instantons","url":"/paper/1010.5509","section":"Introduction","sentence":"For earlier studies on small instanton transition, the reader may refer to [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"2604.07433","title":"A Duality Web for Non-Supersymmetric Strings","url":"/paper/2604.07433","section":"Resolution of the mismatch puzzles","sentence":"Let us review some concrete realization of this phenomenon in superstrings/M-theory, like the small instanton transition in heterotic M-theory [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"1004.4399","title":"Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories","url":"/paper/1004.4399","section":"Eigenvalues Along a Geodesic","sentence":"Such instantons are described non-perturbatively in heterotic M-theory by a dissolved $M5$-brane on the $K3$ surface [ref] .","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":16},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/0001133"}}