Results 91 to 100 of about 1,641,940 (221)
A note on the Gauss–Bonnet–Chern theorem for general connection
Journal of Geometry and Physics, 2015 In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
Haoran Zhao, Haoran Zhao, Haoran Zhao
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Deep Underground Science and Engineering, EarlyView.Different failure modes observed in Tishreen tunnel include Floor heave, wall spalling, crashing of slab, and lining convergence reaching the failure limit. Abstract Squeezing phenomena can lead to severe loads in deep tunnels, especially in the presence of a low ratio of surrounding rock strength to overburden pressure.
Mohannad Mhanna, Hussein Hadi Hussein
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Berry Phases, Quantum Phase Transitions and Chern Numbers
, 2007 We study the relation between Chern numbers and Quantum Phase Transitions (QPT) in the XY spin-chain model. By coupling the spin chain to a single spin, it is possible to study topological invariants associated to the coupling Hamiltonian.
A.F. Reyes-Lega +7 more
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Laser &Photonics Reviews, EarlyView.In this work, various topological phases and the bulk‐edge correspondence are studied and established in gyromagnetic photonic Weyl metamaterials. Based on rigorous theoretical analysis, the comprehensive depictions of the multiple topological phase diagrams and multi‐type bulk‐edge correspondences are further mapped out.
Ning Han +7 more
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Fivebranes and 3-manifold homology
Journal of High Energy Physics, 2017 Motivated by physical constructions of homological knot invariants, we study their analogs for closed 3-manifolds. We show that fivebrane compactifications provide a universal description of various old and new homological invariants of 3-manifolds.
Sergei Gukov, Pavel Putrov, Cumrun Vafa
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A comment on metric vs metric-affine gravity
Physics Letters B, 2023 We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension D≥4. All curvatures are functions of independent affine (torsionless) connections only.
Ulf Lindström, Özgür Sarıoğlu
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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, Marco A.C. Kneipp
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Tunable Topological Directional Supercoupler and Applications in THz On‐Chip Communication
Laser &Photonics Reviews, EarlyView.A topological directional supercoupler is demonstrated, enabling dual‐channel 50 Gbps on‐chip terahertz communication with phototunable power splitting ratios. The achieved sub‐wavelength scale coupling area, sharp waveguide bends, and momentum‐conserved coupling process allow for ultra‐compact and efficient terahertz topological photonic integrated ...
Ridong Jia +9 more
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Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a symmetric space.
Derek K. Wise
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Nuclear Physics B, 2015 We study the expectation value of a nonplanar Wilson graph operator in SL(2,C) Chern–Simons theory on S3. In particular we analyze its asymptotic behavior in the double-scaling limit in which both the representation labels and the Chern–Simons coupling ...
Hal M. Haggard +3 more
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