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Urs Schreiber Retweeted
That's the progression of the Weltgeist: "what in earlier ages occupied men of mature minds, now sinks to the level of exercises, and even to that of games for children" (from "Phenomenology of the Spirit" http://www.gutenberg.org/cache/epub/6698/pg6698.txt … English translation: http://www.marxists.org/reference/archive/hegel/works/ph/pinkard-translation-of-phenomenology.pdf … )pic.twitter.com/xYjNnmrlaS
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There is a most curious expression of observables on time-dependent Dp/D(p+2)-brane bound states (=Yang-Mills monopoles in the D(p+2) worldvolume) as knot invariants, specifically as sl2 weights systems on chord diagrams: http://ncatlab.org/nlab/show/Dp-D%28p%2B2%29-brane+bound+state#ReferencesRelationToKnotInvariants …pic.twitter.com/YvPVDS1tuw
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Urs Schreiber Retweeted
NB, "Witten's Dark Fantasy" http://ncatlab.org/nlab/show/cosmological+constant#ReferencesStringTheoryVanishingCC … as manifested via F-theory by Heckmann http://et.al . http://arxiv.org/abs/1901.10489 gives a closed universe as argued for phenomenologically in the recent: Valentino et. al. Nature astronomy 2019 http://www.nature.com/articles/s41550-019-0906-9 …pic.twitter.com/4DnG3LKGCN
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In http://arxiv.org/abs/1610.02074 forceful highlighting of the shortcomings of traditional quark-model QCD and their overcoming by holographic QCD (http://ncatlab.org/nlab/show/AdS-QCD+correspondence#FromSNM16 …):pic.twitter.com/CMyoZaZgfA
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Today in http://arxiv.org/abs/1911.00378 further progress in the program towards giving full proof of the AdS/CFT correspondence http://ncatlab.org/nlab/show/AdS-CFT … for the case of AdS3/CFT2 http://ncatlab.org/nlab/show/AdS-CFT#ReferencesAdS3CFT2 …pic.twitter.com/nY8szDYLnP
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Urs Schreiber Retweeted
Oh, I see. Yes, AdS spacetime plays a crucial role in conceptually explaining confinement in the gauge theory on its asympotic boundary. This is the original insight of Witten's http://arxiv.org/abs/hep-th/9803131 … (Sakai&Sugimoto built on that insight, whence now "Witten-Sakai-Sugimoto".pic.twitter.com/2ZRKsHw9Vr
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When people understand what AdS/QCD http://ncatlab.org/nlab/show/AdS-QCD+correspondence … achieves:https://twitter.com/willyOTule/status/1190361025629032448 …
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An analogous brane configuration constructs 2d QCD (the 't Hooft model). Here color D4-branes become D2-branes & baryon D4-branes become D6-branes & meson fields now come from 3d CS. This variant of the Witten-Saki-Sugimoto model is due to Gao-Xu-Zeng06 http://ncatlab.org/nlab/show/AdS-QCD+correspondence#WSSTypeModelFor2dQCD …pic.twitter.com/SCvinlCUbz
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As a public service (and out of frustration over the literature) I have created the first decent diagram displaying the brane configuration that geometrically engineers quantum chromodynamics (the Witten-Sakai-Sugimoto model http://ncatlab.org/nlab/show/AdS-QCD+correspondence#WittenSakaiSugimotoModel …). Here:pic.twitter.com/l92tKxJCIV
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Urs Schreiber Retweeted
That's really nice :D Urs, what would be a "roadmap" to your work on cohesive ∞-topoi? (Should I just read your book https://ncatlab.org/schreiber/show/differential+cohomology+in+a+cohesive+topos … from cover to cover?) Also, what should I learn before reading your working?
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Braunack-Mayer's proof of dg-models for rational parametrized homotopy theory http://ncatlab.org/nlab/show/rational+parameterized+stable+homotopy+theory … was motivated by the outlook at the end of my talk at Strings2017 http://ncatlab.org/schreiber/show/StringMath2017 … and then used in our mathematical analysis of M/IIA duality:https://twitter.com/SchreiberUrs/status/1180436045785174016 …
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This result on rational parametrized stable homotopy theory http://ncatlab.org/nlab/show/rational+parameterized+stable+homotopy+theory … was suggested from and its proof motivated by the analysis in http://arxiv.org/abs/1606.03206 http://ncatlab.org/schreiber/show/Rational+sphere+valued+supercocycles+in+M-theory … of M/IIA duality http://ncatlab.org/nlab/show/duality+between+M-theory+and+type+IIA+string+theory … in superspace http://ncatlab.org/nlab/show/geometry+of+physics+--+fundamental+super+p-branes …pic.twitter.com/I1ebC1uEIl
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Today in http://arxiv.org/abs/1910.14608 Vincent Braunack-Mayer identifies the Quillen model for rational parametrized stable homotopy theory http://ncatlab.org/nlab/show/rational+parameterized+stable+homotopy+theory … developing the second 3rd of the results of his PhD thesis http://ncatlab.org/schreiber/show/thesis+Braunack-Mayer …pic.twitter.com/OjD3F1ohah
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Hence under Hypothesis H http://ncatlab.org/schreiber/show/Hypothesis+H … Segals' theorem http://ncatlab.org/nlab/show/configuration%20space%20of%20points#LoopSpacesOfSuspensions … exhibits the Cohomotopy charge of ordered configurations http://ncatlab.org/nlab/show/cohomotopy+charge+map … as that of D6-D8-O8-NS5-bound states http://ncatlab.org/nlab/show/NS5-brane#NSHalfBranes … of Type I'-string theory http://ncatlab.org/nlab/show/type+I+string+theory …pic.twitter.com/pdg5eMFtaD
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It was really nice visiting Prof. Sadok Kallel at American University of Sharjah last week. Over colloquium dinner in Dubai we would chat about homotopy theory of configuration spaces with a view on the Burj Khalifa Fountain spectacle.pic.twitter.com/ggFCxj6MY6
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If you are interested and have further questions see us over on the nForum here: http://nforum.ncatlab.org/discussion/10478/njournal-and-graduate-journal-of-mathematics/?Focus=80756#Comment_80756 …pic.twitter.com/l9GW1pa4vs
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Managing editor Prof. S. Kallel sees the content GJM is looking for http://www.gradmath.org as akin to that of well-developed nLab entries http://ncatlab.org/schreiber/show/What+is...+the+nLab … and encourages authors to first develop write-ups on the nLab to then submit the result for publication with GJM!pic.twitter.com/oFRrjU739k
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The *Graduate Journal of Mathematics* GJM http://www.gradmath.org (peer-reviewed, indexed with mathreviews) publishes *expository* mathematical articles. Graduate and postgraduate students are particularly encouraged to contribute.pic.twitter.com/2PW9ktQUU0
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Today in http://arxiv.org/abs/1910.13474 analysis going to next-to-leading-order of leptoquark models http://ncatlab.org/nlab/show/leptoquark … potentially explaining the observed flavour anomalies http://ncatlab.org/nlab/show/flavour+anomaly …pic.twitter.com/5u24IjSZMj
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