{"arxiv_id":"hep-th/9810188","incoming":{"papers":154,"sentences":263,"groups":[{"kind":"extends","label":"Builds on it","papers":5,"sentences":5,"quotes":[{"arxiv_id":"0710.2773","title":"Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory","url":"/paper/0710.2773","section":"Geometric definition","sentence":"We will generalize the construction [ref] , establishing that the charge of a D-brane supported on $W$ with Chan-Paton gauge bundle $E→W$ in Type II superstring theory without $H$-flux takes values in the complex K-theory of spacetime $X$, to D-branes represented by generic topological K-cycles $(W,E,f)$, i.e., including those D-branes which are not representable as wrapping embedded cycles in $X$.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1004.3972","title":"On The Structure Of The Chan-Paton Factors For D-Branes In Type II Orientifolds","url":"/paper/1004.3972","section":"Introduction","sentence":"As important cases, we manage to find the structure of the Chan-Paton factors for D-branes of all dimensions in Type I string theory, extending earlier results by [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0809.3029","title":"D-branes and bivariant K-theory","url":"/paper/0809.3029","section":"Tachyon condensation and the Sen-Witten construction","sentence":"The original example [ref] concerns the charge group of D$p$-branes in Type IIB string theory on flat space $X=^10$ given by [equation] where we have used Bott periodicity.","intent_p":0.94,"contests_p":null},{"arxiv_id":"0906.0795","title":"Orientifold Precis","url":"/paper/0906.0795","section":"Physical remarks","sentence":"* In the case that spacetime is a global quotient $YΓ$ there is a model for $KR^0(X_w)$ which makes contact with the tachyon field picture of $K$-theoretic charges [ref] and is a slight generalization of both standard equivariant $K$-theory and $KR$-theory.","intent_p":0.88,"contests_p":null},{"arxiv_id":"1807.10274","title":"Fission, Fusion, and 6D RG Flows","url":"/paper/1807.10274","section":"Short Bases","sentence":"This would generalize the K-theoretic considerations for D-branes found in reference [ref] to F-theory.","intent_p":0.96,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2411.04344","title":"On non-supersymmetric heterotic branes","url":"/paper/2411.04344","section":"The 7-brane","sentence":"We begin with the angular theory for the 7-brane, for which gravitational anomaly $-2(c_L-c_R)=-31$ is $+1$ mod $8$, so we can consider the mod-2 elliptic genus of [ref] .[ When gravitational anomaly $ν$ is odd, we take the convention that $(-1)^$ is not defined on the R-sector; see e.g. the discussions around Eq. (6.3) of [ref] .] Then $_m$ mod 2 is a deformation invariant.","intent_p":0.84,"contests_p":null},{"arxiv_id":"0812.2880","title":"Orientifolds and D-branes in N=2 gauged linear sigma models","url":"/paper/0812.2880","section":"Koszul complexes","sentence":"They can be described via tachyon condensation [ref] by Koszul complexes, which we define below.","intent_p":0.86,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2604.22656","title":"Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory","url":"/paper/2604.22656","section":"String theory with 16 supercharges and adjusted higher gauge theory","sentence":"In this respect, the present analysis does not contract the usual K-theoretic analysis of brane charges [ref] (reviewed in [ref] ), which would be given by \\(𝒜\\) being the K-theory spectrum [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2409.02156","title":"SymTFT Fans: The Symmetry Theory of 4d N=4 Super Yang-Mills on spaces with boundaries","url":"/paper/2409.02156","section":"The 1-form symmetries","sentence":"We also observe that for even $n$ one in fact gets spinors of both chiralities; this is in contrast with other instances of non-BPS spinor states (such as the type D0-brane) for which a worldvolume $_2$ gauge symmetry enforces a projection eliminating one of the chiralities [ref] .","intent_p":0.91,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2407.20333","title":"Spin cobordism and the gauge group of type I/heterotic string theory","url":"/paper/2407.20333","section":"Introduction","sentence":"Subsequent analysis of nonperturbative non-BPS objects in type I showed that they are responsible for amending the perturbative gauge group $O(32)/ℤ_2$ to $Spin(32)/ℤ_2$ on the type I side [ref] .","intent_p":0.99,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":56,"sentences":62,"quotes":[{"arxiv_id":"2412.08056","title":"Anomalies and D-branes in the Dabholkar-Park background","url":"/paper/2412.08056","section":"Classification of D-brane charge","sentence":"It is known that the stable D-branes in the type IIB theory on spacetime $X$ are classified by complex K-theory [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"1812.09679","title":"Lift of fractional D-brane charge to equivariant Cohomotopy theory","url":"/paper/1812.09679","section":"Fractional brane charge quantization in M-theory","sentence":"It is a long-standing conjecture [ref] that the charge lattice of fractional D-branes [ref] stuck at $G$-orientifold singularities is the $G$-equivariant K-theory of the singular point, hence the representation ring of $G$ (e.g. [ref] ).","intent_p":0.92,"contests_p":null},{"arxiv_id":"2112.07678","title":"Open-Closed Correspondence of K-theory and Cobordism","url":"/paper/2112.07678","section":"D-branes and K-theory","sentence":"Since the work [ref] , it is a well established fact that D-branes in string theory are not classified by homology but by K-theory.","intent_p":0.92,"contests_p":null},{"arxiv_id":"1906.06078","title":"A Note on the dS Swampland Conjecture, Non-BPS branes and K-theory","url":"/paper/1906.06078","section":"Non-BPS branes","sentence":"It is known that due to the orientifold projection there can exist stable non-BPS branes (see for instance the review [ref] ) that correspond to torsional K-theory groups [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"0710.2773","title":"Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory","url":"/paper/0710.2773","section":"Introduction","sentence":"For example, the seminal papers [ref] demonstrated that D-brane charges in Type II superstring theory are classified by the K-theory of the spacetime manifold, and that ordinary cohomology alone cannot account for certain physical features induced by the dynamics of D-branes.","intent_p":0.81,"contests_p":null}]}],"unlabelled_sentences":191},"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/9810188"}}