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dc.titleA topological Chern-Simons sigma model and new invariants of three-manifolds
dc.contributor.authorLuo, Y.
dc.contributor.authorTan, M.-C.
dc.identifier.citationLuo, Y., Tan, M.-C. (2014-02). A topological Chern-Simons sigma model and new invariants of three-manifolds. Journal of High Energy Physics 2014 (2) : -. ScholarBank@NUS Repository.
dc.description.abstractWe construct a topological Chern-Simons sigma model on a Riemannian threemanifold M with gauge group G whose hyperkähler target space X is equipped with a G-action. Via a perturbative computation of its partition function, we obtain new topological invariants of M that define new weight systems which are characterized by both Lie algebra structure and hyperkähler geometry. In canonically quantizing the sigma model, we find that the partition function on certain M can be expressed in terms of Chern-Simons knot invariants of M and the intersection number of certain G-equivariant cycles in the moduli space of G-covariant maps from M to X. We also construct supersymmetric Wilson loop operators, and via a perturbative computation of their expectation value, we obtain new knot invariants of M that define new knot weight systems which are also characterized by both Lie algebra structure and hyperkähler geometry.©The Authors.
dc.subjectDifferential and Algebraic Geometry
dc.subjectSigma Models
dc.subjectSupersymmetric gauge theory
dc.subjectTopological Field Theories
dc.description.sourcetitleJournal of High Energy Physics
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