Topological matter in four dimensions |
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| Affiliation: | 1. PRESAD Research Group and Multidisciplinary Institute of Enterprise (IME), Faculty of Sciences University of Valladolid, Valladolid, Spain;2. BORDA Research Unit, PRESAD Research Group and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, Salamanca, Spain;3. Centre for Computational Intelligence, School of Computer Science and Informatics, Faculty of Technology, De Montfort University, Leicester, UK;1. Research Center for Neuroscience, Institute of Molecular Biosciences, Mahidol University, Salaya, Nakhon Pathom, Thailand;2. Center for Neuroscience and Department of Pharmacology, Faculty of Science, Mahidol University, Bangkok, Thailand;1. UPMC Univ Paris 06, CNRS, LIP6 UMR 7606, Sorbonne Universités, 4 place Jussieu, Paris 75005, France;2. ETIS UMR 8051, Université Paris Seine, Université Cergy-Pontoise, ENSEA, CNRS, France;3. CEDRIC, Conservatoire National des Arts et Métiers, 292 Rue St Martin, Paris 75003, France |
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| Abstract: | Topological models involving matter couplings to Donaldson-Witten theory are presented. The construction is carried out using both the topological algebra and its central extension, which arise from the twisting of N = 2 supersymmetry in four dimensions. The framework on which the construction is based is constituted by the superspace associated to these algebras. The models show new features of topological quantum field theories which could provide either a mechanism for topological symmetry breaking, or the analog of two-dimensional mirror symmetry in four dimensions. |
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