{"id":502,"date":"2020-05-07T17:01:50","date_gmt":"2020-05-07T17:01:50","guid":{"rendered":"https:\/\/projects.ift.uam-csic.es\/holotube\/?p=502"},"modified":"2021-11-26T11:20:02","modified_gmt":"2021-11-26T11:20:02","slug":"28th-of-july-complexity-and-conformal-field-theory-by-mario-flory","status":"publish","type":"post","link":"https:\/\/projects.ift.uam-csic.es\/holotube\/2020\/05\/07\/28th-of-july-complexity-and-conformal-field-theory-by-mario-flory\/","title":{"rendered":"28th of July: \u201dComplexity and Conformal Field Theory\u201d by Mario Flory"},"content":{"rendered":"\n<p><strong>Date : 28th of July 2020, 16:00 CET<\/strong><\/p>\n\n\n\n<p><strong>Mario Flory<\/strong>&nbsp;(Jagiellonian University)<\/p>\n\n\n\n<p><strong>Link:<\/strong>&nbsp;<strong><a href=\"https:\/\/us02web.zoom.us\/j\/82834697825?pwd=OUltMDJ5TWgwOVZUWmU2RzA1VmgxUT09\">https:\/\/us02web.zoom.us\/j\/82834697825?pwd=OUltMDJ5TWgwOVZUWmU2RzA1VmgxUT09<\/a><\/strong><\/p>\n\n\n\n<p><strong>Title:<\/strong>&nbsp;<strong>Complexity and Conformal Field Theory<\/strong><\/p>\n\n\n\n<p><strong>Abstract<\/strong>:&nbsp;We study circuit and state complexity in the universal setting of (1+1)-dimensional conformal \u200b field theory and unitary transformations generated by the stress-energy tensor. We provide a unifi\u200bed view of assigning a cost to circuits based on the Fubini-Study metric, iteratively solve the emerging integro-diff\u200berential equation for sample optimal circuits and discuss the sectional curvature of the underlying geometry. We also discuss the relation of our work to Euler-Arnold type equations such as the Korteweg-de Vries and Hunter-Saxton equations.<\/p>\n\n\n\n<div class=\"wp-block-file\"><a href=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2020\/07\/Flory.pdf\">Slides<\/a><a href=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2020\/07\/Flory.pdf\" class=\"wp-block-file__button\" download>Download<\/a><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2020\/05\/complexity-theory-toc.png\" alt=\"\" class=\"wp-image-503\" width=\"509\" height=\"382\" srcset=\"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2020\/05\/complexity-theory-toc.png 670w, https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2020\/05\/complexity-theory-toc-300x225.png 300w, https:\/\/projects.ift.uam-csic.es\/holotube\/wp-content\/uploads\/2020\/05\/complexity-theory-toc-480x360.png 480w\" sizes=\"auto, (max-width: 509px) 100vw, 509px\" \/><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Date : 28th of July 2020, 16:00 CET Mario Flory&nbsp;(Jagiellonian University) Link:&nbsp;https:\/\/us02web.zoom.us\/j\/82834697825?pwd=OUltMDJ5TWgwOVZUWmU2RzA1VmgxUT09 Title:&nbsp;Complexity and Conformal Field Theory Abstract:&nbsp;We study circuit and state complexity in the universal setting of (1+1)-dimensional conformal \u200b field theory and unitary transformations generated by the stress-energy tensor. We provide a unifi\u200bed view of assigning a cost to circuits based on the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-502","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts\/502","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/comments?post=502"}],"version-history":[{"count":4,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts\/502\/revisions"}],"predecessor-version":[{"id":737587,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/posts\/502\/revisions\/737587"}],"wp:attachment":[{"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/media?parent=502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/categories?post=502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/projects.ift.uam-csic.es\/holotube\/wp-json\/wp\/v2\/tags?post=502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}