tag:blogger.com,1999:blog-7307840825023135484.post1085065168317048688..comments2023-04-16T03:44:23.949+12:00Comments on Arcadian Pseudofunctor: Theory Update 89Keahttp://www.blogger.com/profile/05652514294703722285noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-7307840825023135484.post-17904977180837249512011-07-06T12:55:00.467+12:002011-07-06T12:55:00.467+12:00Yes, they really should have cited my thesis and m...Yes, they really should have cited my thesis and my blog, shouldn't they? And it is a highly cited paper. You have not been paying attention, Mitchell.Keahttps://www.blogger.com/profile/05652514294703722285noreply@blogger.comtag:blogger.com,1999:blog-7307840825023135484.post-24612790106697968262011-07-05T20:32:28.123+12:002011-07-05T20:32:28.123+12:00There's a lot of your kind of mathematics bein...There's a lot of your kind of mathematics being applied in <a href="http://arxiv.org/abs/0907.3987" rel="nofollow">this paper</a> to theories descended from M5-branes - theories in 2+1 dimensions, as it turns out; the M5-branes are compactified on the product of a circle and a Riemann surface. Some highlights: <br /><br />Associahedra classify triangulations of the Riemann surface, each of which specifies a set of "WKB curves" which minimizes the tension of a string on an M5-brane (the string in question is actually one end of a topologically cylindrical M2-brane stretching between two M5-branes), and corresponds to a "BPS state" whose mass is exactly calculable. <br /><br />Moduli spaces of these theories are described using "Fock-Goncharov coordinates". <br /><br />All of this is used to rederive a "wall-crossing formula" <a href="http://arxiv.org/abs/0811.2435" rel="nofollow">of motivic origin</a>. In sction 12 they discuss how their methods might be described categorically. <br /><br />In reference 11, one of the formulae potentially derived from a simple associahedron is used to calculate gluon scattering amplitudes.Mitchellhttps://www.blogger.com/profile/10768655514143252049noreply@blogger.comtag:blogger.com,1999:blog-7307840825023135484.post-65340922330023190242011-07-05T11:46:15.461+12:002011-07-05T11:46:15.461+12:00You know, if they would just rename Strings 2012 t...You know, if they would just rename Strings 2012 to <b>Braids 2012</b>, I think that would be a pleasant conference to attend.Keahttps://www.blogger.com/profile/05652514294703722285noreply@blogger.com