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On the Classification of Topological Field Theories

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Revised on August 22, 2011 23:24:28 by Urs Schreiber (82.113.99.41)
Edit | Back in time (9 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: Timeline of category theory and related mathematics, 2-spectral triple, brane, conformal field theory, (infinity,1)-category, quantum field theory, FQFT, span, generalized tangle hypothesis, complete Segal space, dagger-compact category, (infinity,n)-category of cobordisms, extended cobordism, Jacob Lurie, dualizable object, AKSZ sigma-model, sigma-model, string theory, Northwestern TFT Conference 2009, higher category theory and physics, exercise in groupoidification - the path integral, path integral, factorization algebra, On the Classification of Topological Field Theories, Dijkgraaf-Witten theory, 2009 May changes, FFRS-formalism, topological quantum field theory, cobordism hypothesis, n-fold complete Segal space, QFT with defects, HQFT, cobordism category, extended topological quantum field theory, bordism categories following Stolz-Teichner, Gromov-Witten invariants, functorial quantum field theory - contents, Axiomatic field theories and their motivation from topology, (1,1)-dimensional Euclidean field theories and K-theory, geometric model for elliptic cohomology, (2,1)-dimensional Euclidean field theories and tmf, (2,1)-dimensional Euclidean field theory, modular forms from partition functions, Poisson sigma-model, Chern-Simons theory, UC Riverside Seminar on Cobordism and Topological Field Theories, renormalization, Reshetikhin-Turaev construction, spectral triple, topological chiral homology, target space, Seiberg-Witten theory, Topological Quantum Field Theories from Compact Lie Groups, supersymmetric quantum mechanics, topological Yang-Mills theory, string topology, PCT theorem, 2d TQFT, TCFT, A-model, B-model, AdS-CFT, Courant sigma-model, Wess-Zumino-Witten model, symmetric monoidal (infinity,n)-category, beta-gamma system, Calabi-Yau object, holographic principle of higher category theory, BF-theory, SCFT, holographic principle, relativistic particle, Green-Schwarz action functional, Euclidean quantum field theory, Yetter model, (infinity,n)-category of spans, superparticle, Landau-Ginzburg model, quantum sheaf cohomology, second quantization, S-matrix, fully dualizable object, charge sector, Haag's theorem, sewing constraint, path integral as a pull-push transform, homological quantum field theory, spinning particle, (infinity,n)-category with duals, Renormalization and Effective Field Theory, effective quantum field theory, Three Roles of Quantum Field Theory, fermionic path integral, worldvolume, background field, Fermi theory of beta decay, T-fold, Quantum Fields and Strings, spinning string, sigma-model -- exposition of classical sigma-models, sigma-model -- exposition of higher gauge theories as sigma-models, sigma-model -- exposition of quantum sigma-models, sigma-model -- exposition of a general abstract formulation, sigma-model -- exposition of second quantization of sigma-models, higher dimensional Chern-Simons theory, c-theorem, contents of contents, Kapustin-Witten TQFT, 6d Chern-Simons theory, 6d (2,0)-supersymmetric QFT, symplectic field theory, modular functor, Seiberg duality, counterterm, super Yang-Mills theory, N=4 D=4 super Yang-Mills theory, higher dimensional WZW model, 1-dimensional Chern-Simons theory, 4d WZW model, coset WZW model, 1d WZW model, N=2 D=4 super Yang-Mills theory, N=4 D=3 super Yang-Mills theory, 3d Chern-Simons theory, AGT correspondence, holomorphic Chern-Simons theory, Turaev-Viro model, open/closed string duality, (infinity,n)-category with adjoints, string theory results applied elsewhere, twistor string theory, geometry of physics, factorization algebra of observables, prequantum field theory, QFT on non-commutative spacetime, 7d Chern-Simons theory, 5d Chern-Simons theory, 2d Chern-Simons theory, semi-Segal space, prequantum 0-bundle, 4d Chern-Simons theory, extended Lagrangian, renormalization scheme, Factorization algebras in perturbative quantum field theory, Chern-Simons invariant, local quantum field theory, Higher Algebraic Structures and Quantization, extended geometric quantization of 2d Chern-Simons theory, 4d TQFT, 1d Dijkgraaf-Witten theory