Results 1 to 10 of about 873 (171)
Resurgence of Chern-Simons Theory at the Trivial Flat Connection. [PDF]
Commun Math PhysAbstract 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 location of the singularities and their Stokes constants) in the case of a ...
Garoufalidis S +3 more
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Observation of Berry curvature in non-Hermitian system from far-field radiation [PDF]
Nature CommunicationsBerry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern number.
Xuefan Yin +5 more
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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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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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Spectral triples from bimodule connections and Chern connections [PDF]
Journal of Noncommutative Geometry, 2017 We give a geometrical construction of Connes spectral triples or noncommutative Dirac operators \def\Dslash{{\mathrlap{\,/}{D}}}\Dslash starting with a bimodule connection on the proposed spinor bundle. The theory is applied to the example of
Edwin Beggs, Shahn Majid
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An a priori C0-estimate for the Fu-Yau equation on compact almost astheno-Kähler manifolds
Complex Manifolds, 2022 We investigate the Fu-Yau equation on compact almost astheno-Kähler manifolds and show an a priori C0-estiamte for a smooth solution of the equation.
Kawamura Masaya
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Nullity distributions associated with Chern connection [PDF]
Publicationes Mathematicae Debrecen, 2016 The nullity distributions of the two curvature tensors \, $\overast{R}$ and $\overast{P}$ of the Chern connection of a Finsler manifold are investigated. The completeness of the nullity foliation associated with the nullity distribution $\N_{R^\ast}$ is proved. Two counterexamples are given: the first shows that $\N_{R^\ast}$ does not coincide with the
Youssef, Nabil L., Elgendi, S. G.
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Localization and duality for ABJM latitude Wilson loops
Journal of High Energy Physics, 2021 We investigate several aspects of BPS latitude Wilson loops in gauge theories in three dimensions with N $$ \mathcal{N} $$ ≥ 4 supersymmetry. We derive a matrix model for the bosonic latitude Wilson loop in ABJM using supersymmetric localization, and ...
Luca Griguolo +2 more
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Connection between the winding number and the Chern number [PDF]
Chinese Journal of Physics, 2021 Bulk-edge correspondence is one of the most distinct properties of topological insulators. In particular, the 1D winding number $\n$ has a one-to-one correspondence to the number of edge states in a chain of topological insulators with boundaries. By properly choosing the unit cells, we carry out numerical calculation to show explicitly in the extended
Chen, Han-Ting +2 more
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