{"paper":{"title":"${\\mathscr {M}}$cTEQ (${\\mathscr {M}}$ ${\\bf c}$hiral perturbation theory-compatible deconfinement ${\\bf T}$emperature and ${\\bf E}$ntanglement Entropy up to terms ${\\bf Q}$uartic in curvature) and FM (${\\bf F}$lavor ${\\bf M}$emory)","arxiv_id":"2108.05372","primary_cat":"hep-th","submitted_at":"2021-08-11T18:00:09+00:00","version_compiled":"v3"},"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 v3","sentences":[{"i":0,"p":1.0,"id":"s0","own":false,"role":"gap","text":"A holographic computation of $T_c$ at ${\\it intermediate\\ coupling}$ from M-theory dual of thermal QCD-like theories, has been missing in the literature.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.04,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":1.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":0.9,"id":"s1","own":true,"role":"contribution","text":"Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of ${\\bf M}-{\\bf c}$hiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement ${\\bf T}$emperature, and show equivalence with an ${\\bf E}$ntanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms ${\\bf Q}$uartic in curvature.","hedge":{"p":0.8,"label":"asserted"},"own_p":0.93,"main_claim_p":0.68,"quantitative":true,"quantitative_p":0.78,"role_probabilities":{"gap":0.01,"method":0.0,"result":0.09,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.9,"interpretation":0.0}},{"i":2,"p":0.63,"id":"s2","own":true,"role":"result","text":"We demonstrate a ${\\bf F}$lavor-${\\bf M}$emory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the \"memory\" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle \"wrapped\" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O$(R^4)$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.18,"quantitative":false,"quantitative_p":0.2,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.63,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.37,"interpretation":0.0}},{"i":3,"p":0.89,"id":"s3","own":true,"role":"result","text":"The same linear combination of O$(R^4)$ metric corrections, upon matching the phenomenological value of the coupling constant of one of the SU(3) NLO ChPT Lagrangian, is required to have a definite sign.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.79,"main_claim_p":0.09,"quantitative":true,"quantitative_p":0.5,"role_probabilities":{"gap":0.0,"method":0.01,"result":0.89,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.05,"interpretation":0.05}},{"i":4,"p":0.53,"id":"s4","own":true,"role":"result","text":"Interestingly, in the decompactification limit of the spatial circle, we ${\\it derive}$ this, and obtain the values of the relevant O$(R^4)$ metric corrections.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.3,"result":0.53,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.17,"interpretation":0.0}},{"i":5,"p":0.8,"id":"s5","own":true,"role":"result","text":"Further, equivalence with Wald entropy for the black hole at ${\\cal O}(R^4)$ imposes a linear constraint on the same linear combination of metric corrections.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.8,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.27,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.8,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.15,"interpretation":0.01}},{"i":6,"p":0.99,"id":"s6","own":true,"role":"result","text":"Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.94,"main_claim_p":0.62,"quantitative":true,"quantitative_p":0.68,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}}]},"compiled":{"main_claim":{"p":0.71,"text":"Remarkably, when evaluating $T_c$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the ${\\cal O}(R^4)$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_c$ at quartic order supporting the conjecture referred to above.","location":"abstract s6","hedge_strength":{"p":0.98,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe 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