Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory [PDF]
Communications in Mathematical Physics, 2001 30 pages ...
Dabrowski, Ludwik, GROSSE H., HAJAC P.
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Topological linear response of hyperbolic Chern insulators
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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L lines, C points and Chern numbers: understanding band structure topology using polarization fields
New Journal of Physics, 2017 Topology has appeared in different physical contexts. The most prominent application is topologically protected edge transport in condensed matter physics. The Chern number, the topological invariant of gapped Bloch Hamiltonians, is an important quantity
Thomas Fösel +2 more
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Holographic spin liquids and Lovelock Chern-Simons gravity
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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Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
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Perturbative and Non-perturbative Aspects of the Chern-Simons-Witten Theory [PDF]
, 2008 We investigate a relation between non-perturbative and perturbative cases in the 2+1 dimensional Chern-Simons- Witten (CSW) theory for G = E6 gauge group.
Yoyo Wardaya, Asep +3 more
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Super Chern–Simons theory and flat super connections on a torus [PDF]
Advances in Theoretical and Mathematical Physics, 2001 We study the moduli space of a super Chern-Simons theory on a manifold with the topology ${\bf R}\times §$, where $§$ is a compact surface. The moduli space is that of flat super connections modulo gauge transformations on $§$, and we study in detail the case when $§$ is atorus and the supergroup is $OSp(m|2n)$.
Miković, A., Picken, R.
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Locality of topological dynamics in Chern insulators
SciPost PhysicsA system having macroscopic patches in different topological phases has no well-defined global topological invariant. To treat such a case, the quantities labeling different areas of the sample according to their topological state are used, dubbed local ...
Anton Markov, Diana Golovanova, Alexander Yavorsky, Alexey Rubtsov
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Complete factorization in minimal N=4 $$ \mathcal{N}=4 $$ Chern-Simons-matter theory
Journal of High Energy Physics, 2018 We investigate an N=4UNk×UN+M−k $$ \mathcal{N} = 4\;\mathrm{U}{(N)}_k\times \mathrm{U}{\left(N+M\right)}_{-k} $$ Chern-Simons theory coupled to one bifundamental hypermultiplet by employing its partition function, which is given by 2N + M dimensional ...
Tomoki Nosaka, Shuichi Yokoyama
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Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited
Journal of High Energy Physics, 2023 We reconsider the Hamiltonian reduction of the action for three dimensional AdS supergravity and W 3 higher spin AdS gravity in the Chern-Simons formulation under asymptotically anti-de Sitter boundary conditions.
Wout Merbis +2 more
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