{"paper":{"title":"More on the Celestial Soft Symmetry Algebra in the ${\\cal N}=8$ Supergravity","arxiv_id":"2610.05760","primary_cat":"hep-th","submitted_at":"2026-10-05T04:09:30+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.93,"id":"s0","own":true,"role":"contribution","text":"We construct the operator product expansions (OPEs) of the ${\\cal N}=8$ ${\\rm w}_{1+\\infty}$ currents (obtained from the antiholomorphic light transform) with the matter fields in the ${\\cal N}=8$ supergravity.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.11,"quantitative":false,"quantitative_p":0.19,"role_probabilities":{"gap":0.0,"method":0.07,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.93,"interpretation":0.0}},{"i":1,"p":0.97,"id":"s1","own":true,"role":"method","text":"The corresponding (anti)commutators are obtained from the double contour integrals using the above OPEs.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.97,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":2,"p":0.79,"id":"s2","own":true,"role":"result","text":"By computing the triple (anti)commutators consisting of current-current-matter (i.e., the Jacobi identity for fixed last element), the previously known ${\\cal N}=8$ celestial soft symmetry algebra between these currents (in the antiholomorphic sector) is reproduced.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.2,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.17,"result":0.79,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.01}},{"i":3,"p":0.79,"id":"s3","own":true,"role":"method","text":"We repeat the above procedure by taking the holomorphic light transform and the OPEs of the ${\\cal N}=8$ ${\\rm \\bar{w}}_{1+\\infty}$ currents with the matter fields and the corresponding (anti)commutators are obtained.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.79,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.21,"interpretation":0.0}},{"i":4,"p":0.94,"id":"s4","own":true,"role":"result","text":"We also obtain another type of ${\\cal N}=8$ celestial soft symmetry algebra between these currents (in the holomorphic sector).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.95,"main_claim_p":0.25,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.06,"interpretation":0.0}},{"i":5,"p":0.97,"id":"s5","own":true,"role":"result","text":"As a subalgebra in the antiholomorphic and holomorphic sectors, there exists the ${\\cal N}=8$ extended BMS (Bondi, van der Burg, Metzner, and Sachs in 1962) algebra.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.75,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.16,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.97,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.02}},{"i":6,"p":0.46,"id":"s6","own":true,"role":"contribution","text":"We analyze the above results from the ${\\cal N}=8$ conformally {\\it soft} ${\\rm w}_{1+\\infty}$ (or ${\\rm \\bar{w}}_{1+\\infty}$) currents in the antiholomorphic (or holomorphic) sector.","hedge":{"p":0.88,"label":"asserted"},"own_p":0.85,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.09,"result":0.01,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.46,"interpretation":0.44}},{"i":7,"p":0.82,"id":"s7","own":true,"role":"result","text":"The nontrivial soft theorems for the graviton, the gravitinos and the graviphotons are described.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.69,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.82,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.1,"interpretation":0.08}},{"i":8,"p":0.55,"id":"s8","own":true,"role":"contribution","text":"Finally, using the shadow transform (the consecutive composition of holomorphic and antiholomorphic light transforms), we obtain the OPEs of the ${\\cal N}=8$ {\\it shadow} ${\\rm w}_{1+\\infty}$ (or ${\\rm \\bar{w}}_{1+\\infty}$) currents with the matter fields where the stress-energy tensor, the supercurrents and the supertranslation generator of the ${\\cal N}=8$ extended BMS algebra are 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