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|Title:||A topological Chern-Simons sigma model and new invariants of three-manifolds|
|Keywords:||Differential and Algebraic Geometry|
Supersymmetric gauge theory
Topological Field Theories
|Citation:||Luo, 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. https://doi.org/10.1007/JHEP02(2014)067|
|Abstract:||We 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.|
|Source Title:||Journal of High Energy Physics|
|Appears in Collections:||Staff Publications|
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