1-loop renormalisability of integrable sigma-models from 4d Chern-Simons theory
Large families of integrable 2d σ-models have been constructed at the classical level, partly motivated by the utility of integrability on the string worldsheet.
Sylvain Lacroix +2 more
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On the induced connection on sections of Toeplitz operators
The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of ...
Mohammed El Aïdi
doaj
L ∞-Algebra Connections and Applications to String- and Chern-Simons n-Transport [PDF]
Hisham Sati, Urs Schreiber, Jim Stasheff
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Characterization of Isoclinic, Transversally Geodesic and Grassmannizable Webs
One of the most relevant topics in web theory is linearization. A particular class of linearizable webs is the Grassmannizable web. Akivis gave a characterization of such a web, showing that Grassmannizable webs are equivalent to isoclinic and ...
Jihad Saab, Rafik Absi
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Intersection Pairings on Spaces of Connections and Chern-Simons Theory\n on Seifert Manifolds [PDF]
G.E. Thompson
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The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds
We consider unitary cocycle deformations of covariant $\ast$-differential calculi. We prove that complex structures, holomorphic bimodules and Chern connections on the deformed calculus are twists of their untwisted counterparts. Moreover, for cocycle deformations of a class of classical Kähler manifolds, the Levi-Civita connection on the space of one ...
Bhowmick, Jyotishman, Ghosh, Bappa
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Geometric structures associated with the Chern connection attached to a SODE [PDF]
J. Muñoz-Masqué, E. Rosado María
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Jacobi Stability Analysis of Liu System: Detecting Chaos
By utilizing the Kosambi–Cartan–Chern (KCC) geometric theory, this paper is dedicated to providing novel insights into the Liu dynamical system, which stands out as one of the most distinctive and noteworthy nonlinear dynamical systems.
Qinghui Liu, Xin Zhang
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Explicit construction of a Chern–Moser connection for CR manifolds of codimension two [PDF]
Gerd Schmalz, Andrea Spiro
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Nontrivial bundles and defect operators in n-form gauge theories
In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j
Shan Hu
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