GENERALIZED ABELIAN CHERN-SIMONS THEORIES AND THEIR CONNECTION TO CONFORMAL FIELD THEORIES [PDF]
International Journal of Modern Physics A, 1992 We discuss the generalization of Abelian Chern-Simons theories when θ-angles and magnetic monopoles are included. We map these three dimensional theories into sectors of two-dimensional conformal field theories. The introduction of θ-angles allows us to establish in a consistent fashion a connection between Abelian Chern-Simons and 2-d free scalar ...
Marco A. C. Kneipp
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Regularization of closed positive currents of type (1,1) by the flow of a Chern connection [PDF]
, 1994 Jean-Pierre Demailly
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Cubo, 2022 We investigate Monge-Amp\`ere type equations on almost Hermitian manifolds and show an \textit{a priori} $L^\infty$ estimate for a smooth solution of these equations.
Masaya Kawamura
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Groupoids in Sikorski’s spaces, connections and the Chern-Weil homomorphism [PDF]
Banach Center Publications, 2001 Krzysztof Lisiecki
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A residue formula for Chern classes associated with logarithmic connections [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1978 Makoto Otsuki
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On the Zakharov–Mikhailov action: $$4\hbox {d}$$ Chern–Simons origin and covariant Poisson algebra of the Lax connection [PDF]
Letters in Mathematical Physics, 2020 We derive the $$2\hbox {d}$$ 2 d Zakharov–Mikhailov action from $$4\hbox {d}$$ 4 d
V. Caudrelier +2 more
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Chiral gravitational waves in Palatini-Chern-Simons gravity [PDF]
Physical Review D, 2022 We study the parity-breaking higher-curvature gravity theory of Chern-Simons (CS), using the Palatini formulation in which the metric and connection are taken to be independent fields.
Felipe Sulantay +2 more
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An inner product for 4D quantum gravity and the Chern–Simons–Kodama state [PDF]
Classical and quantum gravity, 2022 We demonstrate that reality conditions for the Ashtekar connection imply a non-trivial measure for the inner product of gravitational states in the polarization where the Ashtekar connection is diagonal, and we express the measure as the determinant of a
S. Alexander, G. Herczeg, L. Freidel
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General solutions in Chern-Simons gravity and T T ¯ $$ T\overline{T} $$ -deformations
Journal of High Energy Physics, 2021 We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection.
Eva Llabrés
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Connections on Lie groupoids and Chern–Weil theory
Reviews in Mathematical Physics, 2023 Let [Formula: see text] be a Lie groupoid equipped with a connection, given by a smooth distribution [Formula: see text] transversal to the fibers of the source map. Under the assumption that the distribution [Formula: see text] is integrable, we define a version of de Rham cohomology for the pair [Formula: see text], and we study connections on ...
Indranil Biswas +3 more
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