Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Commun Math Phys, 2021 Some years ago, it was conjectured by the first author that the Chern–Simons perturbation theory of a 3-manifold at the trivial flat connection is a resurgent power series. We describe completely the resurgent structure of the above series (including the
Garoufalidis S +3 more
europepmc +7 more sources
L-infinity algebra connections and applications to String- and Chern-Simons n-transport [PDF]
, 2008 We give a generalization of the notion of a Cartan-Ehresmann connection from Lie algebras to L-infinity algebras and use it to study the obstruction theory of lifts through higher String-like extensions of Lie algebras. We find (generalized) Chern-Simons
A. Asada +41 more
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Curvature properties of the Chern connection of twistor spaces [PDF]
, 2005 The twistor space \Z of an oriented Riemannian 4-manifold M admits a natural 1-parameter family of Riemannian metrics h_t compatible with the almost complex structures J_1 and J_2 introduced, respectively, by Atiyah, Hitchin and Singer, and Eells and ...
Johann Davidov +2 more
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Invariant solutions to the Strominger system and the heterotic equations of motion [PDF]
Nuclear Physics B, 2017 We construct many new invariant solutions to the Strominger system with respect to a 2-parameter family of metric connections ∇ε,ρ in the anomaly cancellation equation.
Antonio Otal +2 more
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Thermal Uhlmann-Chern number from the Uhlmann connection for extracting topological properties of mixed states [PDF]
Physical review B, 2018 The Berry phase is a geometric phase of a pure state when the system is adiabatically transported along a loop in its parameter space. The concept of geometric phase has been generalized to mixed states by the so called Uhlmann phase.
Yan He, Hao Guo, Chih-Chun Chien
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Generalized real-space Chern number formula and entanglement hamiltonian [PDF]
SciPost Physics, 2023 We generalize a real-space Chern number formula for gapped free fermions to higher orders. Using the generalized formula, we prove recent proposals for extracting thermal and electric Hall conductance from the ground state via the entanglement ...
Ruihua Fan, Pengfei Zhang, Yingfei Gu
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Topological linear response of hyperbolic Chern insulators [PDF]
SciPost PhysicsWe establish a connection between the electromagnetic Hall response and band topological invariants in hyperbolic Chern insulators by deriving a hyperbolic analog of the Thouless-Kohmoto-Nightingale-den Nijs (TKNN) formula.
Canon Sun, Anffany Chen, Tomáš Bzdušek, Joseph Maciejko
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Measuring topology from dynamics by obtaining the Chern number from a linking number [PDF]
Nature Communications, 2019 The connection between the topological properties of the ground state and non-equilibrium dynamics remains obscure. Here, Tarnowski et al. define and measure a linking number between static and dynamical vortices, which directly corresponds to the ground-
Matthias Tarnowski +6 more
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Fermi gas formalism for D-type quiver Chern-Simons theory with non-uniform ranks [PDF]
Journal of High Energy PhysicsWe construct the Fermi gas formalism for the partition function of supersymmetric Chern-Simons theories with affine D-type quiver diagrams with non-uniform ranks of the gauge groups and Fayet-Illiopoulos parameters by two different approaches: the open ...
Naotaka Kubo, Tomoki Nosaka
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Holographic spin liquids and Lovelock Chern-Simons gravity [PDF]
Journal of High Energy Physics, 2020 We explore the role of torsion as source of spin current in strongly interacting conformal fluids using holography. We establish the constitutive relations of the basic hydrodynamic variables, the energy-momentum tensor and the spin current based on the ...
A.D. Gallegos, U. Gürsoy
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