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Topological quantum field theory
Publications Mathématiques de l'IHÉS, 1988The starting point to topological quantum field theory was given by \textit{E. Witten} [J. Differ. Geom. 17, 661-692 (1982; Zbl 0499.53056)] where he explained the geometric meaning of super-symmetry, pointing out that for super-symmetric quantum mechanics the Hamiltonian is just the Hodge- Laplacian.
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Topological anti-topological fusion in four-dimensional superconformal field theories [PDF]
Journal of High Energy Physics, 2010 We present some new exact results for general four-dimensional superconformal field theories. We derive differential equations governing the coupling constant dependence of chiral primary correlators.
Kyriakos Papadodimas, Papadodimas, K.
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1996
A topological field theory generally consists of i) a collection of fields defined on a Riemannian manifold (M, g) ii) a nilpotent operator Q (Q 2 = 0) which is odd with respect to the Grassmann grading iii) physical states defined to be Q.cohomology classes iv) an energy-momentum tensor which is Q—exact i.e.
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A topological field theory generally consists of i) a collection of fields defined on a Riemannian manifold (M, g) ii) a nilpotent operator Q (Q 2 = 0) which is odd with respect to the Grassmann grading iii) physical states defined to be Q.cohomology classes iv) an energy-momentum tensor which is Q—exact i.e.
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Construction of two-dimensional topological field theories with non-invertible symmetries
Journal of High Energy Physics, 2021Sahand Seifnashri +2 more
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Topological field theories induced by twisted R-Poisson structure in any dimension
Journal of High Energy Physics, 2021Athanasios Chatzistavrakidis
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Quantum Neural Networks and Topological Quantum Field Theories
Neural Networks, 2022Niels Gresnigt +2 more
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Mapping Topological to Conformal Field Theories through strange Correlators
Physical Review Letters, 2018Robijn Vanhove +2 more
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Three lectures on derived symplectic geometry and topological field theories
Indagationes Mathematicae, 2014Damien Calaque
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