{"id":88,"date":"2023-05-09T17:49:15","date_gmt":"2023-05-09T15:49:15","guid":{"rendered":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/?page_id=88"},"modified":"2023-05-09T21:22:12","modified_gmt":"2023-05-09T19:22:12","slug":"fields-strings-and-symmetries","status":"publish","type":"page","link":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/fields-strings-and-symmetries\/","title":{"rendered":"Fields, Strings and Symmetries"},"content":{"rendered":"\n<p>Research in this area deals with advanced methods of quantum field&nbsp; theory and their interplay with mathematical physics, the relations&nbsp; between field theory and string theory, and the exact&nbsp; solutions based on symmetries and integrability.&nbsp;&nbsp;<br>These methods find application not only in&nbsp;high energy physics, but&nbsp;also&nbsp;&nbsp;in condensed matter physics, statistical physics and mathematics.&nbsp;<\/p>\n\n\n\n<h6 class=\"wp-block-heading\" style=\"text-transform:none\"><strong>Conformal Field Theory and applications<\/strong><\/h6>\n\n\n\n<p>&#8211; Effective Field Theories of the Quantum Hall Effect\u00a0<br>&#8211; Topological phases of low-dimensional condensed matter<br>&#8211; Conformal field theories and c-theorem in higher dimensions<\/p>\n\n\n\n<h6 class=\"wp-block-heading\" style=\"text-transform:none\"><strong>Dynamics of Open Quantum Systems<\/strong><\/h6>\n\n\n\n<p>&#8211;\u00a0Quantum communication and information theory<br>&#8211;\u00a0Quantum criticality and entanglement properties<br>&#8211;\u00a0Measurement process and quantum-to-classical crossover<\/p>\n\n\n\n<h6 class=\"wp-block-heading\" style=\"text-transform:none\"><strong><a href=\"https:\/\/sites.google.com\/view\/stringtheoryflorence\/\">Gauge and String Theories<\/a><\/strong><\/h6>\n\n\n\n<p>&#8211; AdS\/CFT and gauge\/gravity dualities<br>&#8211; Supersymmetric quantum field theories<br>&#8211; Applied Holography: from QCD to condensed matter<br>&#8211; Quantum entanglement and black hole physics<\/p>\n\n\n\n<h6 class=\"wp-block-heading\" style=\"text-transform:none\"><strong>Quantum integrable models, exactly solvable models<\/strong><\/h6>\n\n\n\n<p>&#8211; Calculation of correlation functions\u00a0<br>&#8211; Applications to combinatorics\u00a0<br>&#8211; `Limit shape&#8217; phenomena<\/p>\n\n\n\n<h6 class=\"wp-block-heading\" style=\"text-transform:none\"><strong>Symplectic geometry and quantization<\/strong><\/h6>\n\n\n\n<p>&#8211; Integration of Poisson manifolds\u00a0<br>&#8211; Geometric quantization of symplectic groupoids<\/p>\n\n\n\n<h6 class=\"wp-block-heading\" style=\"text-transform:none\"><strong>Topological Field Theories and Higher Structure<\/strong><\/h6>\n\n\n\n<p>&#8211; AKSZ solution of master equation in Batalin-Vilkovisky formalism\u00a0<br>&#8211; Graded geometry<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Research in this area deals with advanced methods of quantum field&nbsp; theory and their interplay with mathematical physics, the relations&nbsp; between field theory and string theory, and the exact&nbsp; solutions based on symmetries and integrability.&nbsp;&nbsp;These methods find application not only in&nbsp;high energy physics, but&nbsp;also&nbsp;&nbsp;in condensed matter physics, statistical physics and mathematics.&nbsp; Conformal Field Theory and [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-88","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/pages\/88","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/comments?post=88"}],"version-history":[{"count":2,"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/pages\/88\/revisions"}],"predecessor-version":[{"id":92,"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/pages\/88\/revisions\/92"}],"wp:attachment":[{"href":"https:\/\/web.infn.it\/FlorenceTheoryGroup\/wp-json\/wp\/v2\/media?parent=88"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}