{"arxiv_id":"2409.05499","incoming":{"papers":3,"sentences":3,"groups":[{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2412.04743","title":"Weyl Geometry in Weyl Semimetals","url":"/paper/2412.04743","section":"Introduction","sentence":"We remind here that in addition to torsion and curvature tensors, generalized differential geometries, known as metric-affine geometries [ref] , are also characterized by the non-metricity tensor, which has been recently employed in an extensive way in quantum field theory in curved spacetime [ref] , gravity [ref] and cosmology [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"2607.11322","title":"Belinfante-Rosenfeld Symmetrization from Metric-Affine Conservation Laws: Hypermomentum as the Improvement Term -- The Cases of QED and QCD","url":"/paper/2607.11322","section":"conclusions","sentence":"It would also be worthwhile to explore whether the affine-lift approach can shed new light on quantum aspects of conserved currents, including trace and gravitational anomalies as in [ref] , and on the role of hypermomentum in generalized gravitational theories.","intent_p":0.82,"contests_p":null}]}],"unlabelled_sentences":1},"outgoing":{"papers":52,"sentences":67,"groups":[{"kind":"background","label":"Cites as background","papers":12,"sentences":14,"quotes":[{"arxiv_id":"gr-qc/9402012","title":"Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance","url":"/paper/gr-qc/9402012","section":"The asymptotic expansion for the symbol of resolvent","sentence":"We should note that the group where the gauge approach of MAG is constructed is the so-called General Linear group $GL(4,R)$ that is an infinite dimensional gauge group [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"gr-qc/9907081","title":"Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion","url":"/paper/gr-qc/9907081","section":"Introduction","sentence":"For example, the form of the anomaly in the Riemann-Cartan case has been discussed by several authors [ref] , while in the more general case of MAG, particularly regarding the effects of nonmetricity, it has not yet been thoroughly explored, to the best of our knowledge.","intent_p":0.82,"contests_p":null},{"arxiv_id":"2407.00415","title":"Weyl cohomology and the conformal anomaly in the presence of torsion","url":"/paper/2407.00415","section":"Introduction","sentence":"For example, the form of the anomaly in the Riemann-Cartan case has been discussed by several authors [ref] , while in the more general case of MAG, particularly regarding the effects of nonmetricity, it has not yet been thoroughly explored, to the best of our knowledge.","intent_p":0.82,"contests_p":null},{"arxiv_id":"2206.02839","title":"Anomaly-induced vacuum effective action with torsion: covariant solution and ambiguities","url":"/paper/2206.02839","section":"Introduction","sentence":"For example, the form of the anomaly in the Riemann-Cartan case has been discussed by several authors [ref] , while in the more general case of MAG, particularly regarding the effects of nonmetricity, it has not yet been thoroughly explored, to the best of our knowledge.","intent_p":0.82,"contests_p":null},{"arxiv_id":"2206.05205","title":"Poincar\\'e gauge gravity primer","url":"/paper/2206.05205","section":"Introduction","sentence":"Beyond the traditional Riemannian geometry, there are other formalisms of gravity, such as Einstein-Cartan gravity, which employs Riemann-Cartan geometry with torsion, and the more general Metric-Affine Gravity (MAG), which incorporates both torsion and nonmetricity tensors [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":53},"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/2409.05499"}}