{"arxiv_id":"1308.0100","incoming":{"papers":4,"sentences":5,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2103.08608","title":"Brane current algebras and generalised geometry from QP manifolds","url":"/paper/2103.08608","section":"Introduction and Discussion","sentence":"A “QP” approach to current algebras was also pursued by Ikeda and Xu [ref] , who constructed a current algebra in the special case where $ℳ$ is a shifted cotangent bundle of another graded manifold $ℳ'$: [equation] (We were also notified of reference [ref] in the same context, again for the cotangent case $ℳ=T^⋆[P]ℳ'$.) In our construction, we lift this restriction on $ℳ$.","intent_p":0.89,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2302.08193","title":"Compatible $E$-Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds","url":"/paper/2302.08193","section":"Twisting of homological functions and twisted QP-manifolds","sentence":"A twisted QP-manifold has some applications to physical theories such as the reduction of the AKSZ sigma models and the supergeometric construction of current algebras [ref] .","intent_p":0.8,"contests_p":null}]}],"unlabelled_sentences":3},"outgoing":{"papers":18,"sentences":37,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":3,"sentences":3,"quotes":[{"arxiv_id":"hep-th/0608150","title":"AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories","url":"/paper/hep-th/0608150","section":"AKSZ-BFV Construction on a QP Pair","sentence":"This derived bracket relation is translated on the mapping spaces following the AKSZ construction [ref] [ref] [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"hep-th/9502010","title":"The Geometry of the Master Equation and Topological Quantum Field Theory","url":"/paper/hep-th/9502010","section":"AKSZ-BFV Construction on a QP Pair","sentence":"This derived bracket relation is translated on the mapping spaces following the AKSZ construction [ref] [ref] [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"math/0102108","title":"On the AKSZ formulation of the Poisson sigma model","url":"/paper/math/0102108","section":"AKSZ-BFV Construction on a QP Pair","sentence":"This derived bracket relation is translated on the mapping spaces following the AKSZ construction [ref] [ref] [ref] .","intent_p":0.97,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1108.0473","title":"Current Algebras and QP Manifolds","url":"/paper/1108.0473","section":"Examples","sentence":"This coincides with the generalized current algebra in three dimensions in [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"hep-th/0410183","title":"Current Algebras and Differential Geometry","url":"/paper/hep-th/0410183","section":"Examples","sentence":"This coincides with the generalized current algebra described in [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"hep-th/0507051","title":"From current algebras for p-branes to topological M-theory","url":"/paper/hep-th/0507051","section":"Examples","sentence":"= -_(n)(J_1J_2)|_cl (ϵϵ^') - 1/(n-1)! ∫_Σ_n d _(0) ^'_(0) J_(n)(G,B)J_(n)(G^',B^') d x^I ∧⋯∧d x^I_n-1, coincides with the generalized current algebra of the topological $n$-brane theory in [ref] .","intent_p":0.96,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":8,"sentences":9,"quotes":[{"arxiv_id":"hep-th/9205088","title":"Geometry of Batalin-Vilkovisky quantization","url":"/paper/hep-th/9205088","section":"Preliminary: QP Manifolds, Twisting and QP Pairs","sentence":"A triple $(, ω, Q)$ is called a QP-manifold of degree $n$ and its structure is called a QP structure, if $ω$ and $Q$ are compatible, that is, $_Q ω=0$ [ref] . $Q$ is also called a homological vector field.","intent_p":0.95,"contests_p":null},{"arxiv_id":"1301.4805","title":"Canonical Functions and Differential Graded Symplectic Pairs in Supergeometry and AKSZ Sigma Models with Boundary","url":"/paper/1301.4805","section":"Preliminary: QP Manifolds, Twisting and QP Pairs","sentence":"[ref] Let $(,{-,-}_s,α)$ be a QP manifold.","intent_p":0.9,"contests_p":null},{"arxiv_id":"hep-th/9502010","title":"The Geometry of the Master Equation and Topological Quantum Field Theory","url":"/paper/hep-th/9502010","section":"Introduction","sentence":"and the AKSZ formalism [ref] [ref] [ref] [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"math/0102108","title":"On the AKSZ formulation of the Poisson sigma model","url":"/paper/math/0102108","section":"Introduction","sentence":"and the AKSZ formalism [ref] [ref] [ref] [ref] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"1204.3714","title":"Lectures on AKSZ Sigma Models for Physicists","url":"/paper/1204.3714","section":"Introduction","sentence":"and the AKSZ formalism [ref] [ref] [ref] [ref] .","intent_p":0.99,"contests_p":null}]}],"unlabelled_sentences":22},"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/1308.0100"}}