{"arxiv_id":"2408.01140","incoming":{"papers":1,"sentences":1,"groups":[],"unlabelled_sentences":1},"outgoing":{"papers":27,"sentences":49,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1504.07683","title":"Spin Connection and Renormalization of Teleparallel Action","url":"/paper/1504.07683","section":"Examples","sentence":"The well-known solution is to consider a reference tetrad $^a=(d r,r σ_x, r σ_y, rσ_z )$ and calculate the teleparallel connection as the Riemannian connection of the reference tetrad $ω^a_b=^a_b (^a)$ [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"1810.12932","title":"Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach","url":"/paper/1810.12932","section":"Examples","sentence":"The well-known solution is to consider a reference tetrad $^a=(d r,r σ_x, r σ_y, rσ_z )$ and calculate the teleparallel connection as the Riemannian connection of the reference tetrad $ω^a_b=^a_b (^a)$ [ref] .","intent_p":0.83,"contests_p":null},{"arxiv_id":"2406.08452","title":"Einstein gravity from the Einstein action: Counterterms and covariance","url":"/paper/2406.08452","section":"Examples","sentence":"The well-known solution is to consider a reference tetrad $^a=(d r,r σ_x, r σ_y, rσ_z )$ and calculate the teleparallel connection as the Riemannian connection of the reference tetrad $ω^a_b=^a_b (^a)$ [ref] .","intent_p":0.83,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":1,"sentences":2,"quotes":[{"arxiv_id":"hep-th/9702025","title":"Topological Invariants, Instantons and Chiral Anomaly on Spaces with Torsion","url":"/paper/hep-th/9702025","section":"Examples","sentence":"We find that the axial torsion can be written as [equation] For all functions that goes as $g→1$ at $r→∞$, and using that the volume of $S^3$ is $∫_S^3σ_x∧σ_y∧σ_z=2π^2$, we obtain the Nieh-Yan charge as [equation] which is the same result as obtained in [ref] since the axial torsion [ref] is independent of $f$.","intent_p":0.97,"contests_p":null}]},{"kind":"supports_this_paper","label":"Cites as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2406.08452","title":"Einstein gravity from the Einstein action: Counterterms and covariance","url":"/paper/2406.08452","section":"Examples","sentence":"This is consistent with our recent argument that the teleparallel action [ref] with a suitably chosen teleparallel connection is fully equivalent to the full general relativity action including all boundary and counterterms [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":10,"sentences":10,"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":"Discussion and Conclusions","sentence":"The Nieh-Yan term was originally discovered in Riemann-Cartan geometry [ref] , which is the underlying geometry of various metric-affine theories of gravity [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"hep-th/0006080","title":"Gauge symmetries of the teleparallel theory of gravity","url":"/paper/hep-th/0006080","section":"Discussion and Conclusions","sentence":"The Nieh-Yan term was originally discovered in Riemann-Cartan geometry [ref] , which is the underlying geometry of various metric-affine theories of gravity [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2104.05917","title":"Revisiting a parity violating gravity model without ghost instability: Local Lorentz covariance","url":"/paper/2104.05917","section":"Discussion and Conclusions","sentence":"Most of the previous works discussing torsional instantons or the Nieh-Yan term were conducted either in this context [ref] , or various axion-like modified gravity theories [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2111.04388","title":"Axion gravitodynamics, Lense-Thirring effect, and gravitational waves","url":"/paper/2111.04388","section":"Discussion and Conclusions","sentence":"Most of the previous works discussing torsional instantons or the Nieh-Yan term were conducted either in this context [ref] , or various axion-like modified gravity theories [ref] .","intent_p":0.91,"contests_p":null},{"arxiv_id":"2301.02847","title":"Irregular universe in the Nieh-Yan modified teleparallel gravity","url":"/paper/2301.02847","section":"Discussion and Conclusions","sentence":"Most of the previous works discussing torsional instantons or the Nieh-Yan term were conducted either in this context [ref] , or various axion-like modified gravity theories [ref] .","intent_p":0.91,"contests_p":null}]}],"unlabelled_sentences":33},"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/2408.01140"}}