Please use this identifier to cite or link to this item: https://doi.org/10.1007/JHEP02(2014)067
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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.date.accessioned2014-10-16T09:14:46Z
dc.date.available2014-10-16T09:14:46Z
dc.date.issued2014-02
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. https://doi.org/10.1007/JHEP02(2014)067
dc.identifier.issn11266708
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/95698
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.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/JHEP02(2014)067
dc.sourceScopus
dc.subjectDifferential and Algebraic Geometry
dc.subjectSigma Models
dc.subjectSupersymmetric gauge theory
dc.subjectTopological Field Theories
dc.typeArticle
dc.contributor.departmentPHYSICS
dc.description.doi10.1007/JHEP02(2014)067
dc.description.sourcetitleJournal of High Energy Physics
dc.description.volume2014
dc.description.issue2
dc.description.page-
dc.identifier.isiut000347731900004
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