The coupling of Chern–Simons theory to topological gravity
TLDR
In this paper, the authors couple Chern-Simons theory to 3D topological gravity with the aim of investigating its quantum topological invariance, and derive the relevant BRST rules and Batalin-Vilkovisky action.About:
This article is published in Nuclear Physics.The article was published on 2010-02-01 and is currently open access. It has received 16 citations till now. The article focuses on the topics: Chern–Simons theory & Topological string theory.read more
Citations
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Topological anomalies for Seifert 3-manifolds
TL;DR: In this article, the Seifert condition for manifolds supporting global supersymmetry is elegantly deduced from the BRST transformations of topological gravity, and a cohomological characterization of the geometrical moduli which affect the partition function is obtained.
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New supersymmetric localizations from topological gravity
TL;DR: In this paper, a complete classification of localizing supersymmetric backgrounds in two dimensions has been given, including twisted versions of the topological background, composite and nonlinear functions of topological fields.
Journal ArticleDOI
Topological anomalies for Seifert 3-manifolds
TL;DR: In this article, the Seifert condition for manifolds supporting global supersymmetry is elegantly deduced from the topological gravity BRST transformations, and a cohomological characterization of the geometrical moduli which affect the partition function is obtained.
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The topological structure of supergravity: an application to supersymmetric localization
Camillo Imbimbo,Dario Rosa +1 more
TL;DR: The BRST algebra of supergravity is characterized by two different bilinears of the commuting supersymmetry ghosts: a vector γμ and a scalar ϕ, the latter valued in the Yang-Mills Lie algebra.
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A short comment on the supersymmetric structure of Chern-Simons theory in the axial gauge
TL;DR: In this article, the topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.
References
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Quantum field theory and the Jones polynomial
TL;DR: In this paper, it was shown that 2+1 dimensional quantum Yang-Mills theory with an action consisting purely of the Chern-Simons term is exactly soluble and gave a natural framework for understanding the Jones polynomial of knot theory in three dimensional terms.
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Intersection theory on the moduli space of curves and the matrix Airy function
TL;DR: In this article, it was shown that two natural approaches to quantum gravity coincide, relying on the equivalence of each approach to KdV equations, and they also investigated related mathematical problems.
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Three-dimensional massive gauge theories
TL;DR: In this article, the authors analyzed three-dimensional Yang-Mills and gravity theories augmented by gauge-invariant mass terms and quantized a dimensionless mass-couplingconstant ratio.
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On the Gauge Theory/Geometry Correspondence
Rajesh Gopakumar,Cumrun Vafa +1 more
TL;DR: The 't Hooft expansion of SU(N) Chern-Simons theory was shown to be exactly dual to topological closed string theory on the blow up of the conifold geometry in this paper.