Conformal and topological quantum field theory

Project funded by Swedish Research Council (Project grant), grant 2013-04207_VR. Participating organisations named by the source: Karlstad University. Funded amount: SEK 2,600,000, as stated by the source. Runs 2014-01-01 to 2017-12-31. Keywords: Naturvetenskap, Natural Sciences, Matematik, Mathematics, Algebra och logik, Algebra and Logic. Source: OpenAIRE Graph, from the funder's project data (collected by OpenAIRE on 2025-12-04); national funding data, not CORDIS. Abstract given by the source: Two-dimensional conformal quantum field theory and three-dimensional topological quantum field theory play a decisive role in diverse areas of fundamental physics as well as in mathematics. This project aims at vastly increasing the knowledge about such theories at a fully non-perturbative level. A common theme will be the quest for understanding quantum systems with defects, i.e. with interfaces or domain walls between different phases of a theory. The primary goal in conformal field theory is to devise a universal framework for constructing state spaces and correlation functions, including those for surfaces with defect lines. This construction must in particular be suitable for so-called logarithmic conformal field theories and permit to establish essential compatibility relations among correlation functions. In topological field theory a major aim is to be able to calculate observables that are associated to three-dimensional manifolds with physical boundaries and with embedded defects. Reaching these goals will require sophisticated mathematical methods and concepts. Some of these may need to be adapted or newly developed, whereby also purely mathematical issues form an integral part of the project. It is also intended to use results from these investigations to develop new calculational tools in various fields, ranging from non-geometric backgrounds in string theory to interfaces with gapped excitations between quantum Hall fluids in condensed matter physics.

Original source.

Source: OpenAIRE Graph: projects of national funders, OpenAIRE, from the project data of Swedish Research Council. Retrieved 2026-10-28. Licence: Creative Commons Attribution 4.0 (OpenAIRE Graph). Selected metadata, adapted presentation; the publisher's record is authoritative. No endorsement by the source is implied. Licence: Creative Commons Attribution 4.0 (CC BY 4.0).

AI-assisted summary: The project "Conformal and topological quantum field theory" was funded by the Swedish Research Council with SEK 2,600,000 from 2014 to 2017, involving Karlstad University. It focuses on enhancing knowledge of two-dimensional conformal and three-dimensional topological quantum field theories. Suggested technology pillar: enabling. Generated by AI from the public source text; it may contain errors and the original source is authoritative.