Results 81 to 90 of about 1,765,714 (253)

Chern-Simons Field Theory and Completely Integrable Systems [PDF]

, 1996
We show that the classical non-abelian pure Chern-Simons action is related in a natural way to completely integrable systems of the Davey-Stewartson hyerarchy, via reductions of the gauge connection in Hermitian spaces and by performing certain gauge ...
Arkadiev, Dubrovin, Dunne, G Soliani, Helgason, Ishimori, Konopelchenko, L Martina, Leo, Martina, Martina, Martina, Mermin, O.K Pashaev, Witten, Witten, Witten   +16 more
core   +3 more sources

5d 2-Chern-Simons Theory and 3d Integrable Field Theories [PDF]

Communications in Mathematical Physics
The 4-dimensional semi-holomorphic Chern-Simons theory of Costello and Yamazaki provides a gauge-theoretic origin for the Lax connection of 2-dimensional integrable field theories. The purpose of this paper is to extend this framework to the setting of 3-
Alexander Schenkel, Benoit Vicedo
semanticscholar   +1 more source

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, Vittorio Peano, Florian Marquardt   +2 more
doaj   +1 more source

Chern-Dirac bundles on non-K\"ahler Hermitian manifolds

, 2017
We introduce the notions of Chern-Dirac bundles and Chern-Dirac operators on Hermitian manifolds. They are analogues of classical Dirac bundles and Dirac operators, with Levi-Civita connection replaced by Chern connection.
Pediconi, Francesco
core   +1 more source

BTZ black hole and quantum Hall effect in the bulk/boundary dynamics [PDF]

, 1998
We point out an interesting analogy between the BTZ black hole and QHE (Quantum Hall effect) in the (2+1)-dimensional bulk/boundary theories. It is shown that the Chern-Simons/Liouville(Chern-Simons/chiral boson) is an effective description for the BTZ ...
A. Cappelli, A. P. Balachandran, A. Strominger, A. Strominger, C. Callan, D. B. Birmingham, E. Teo, E. Witten, G. Horowitz, H. W. Lee, J. D. Brown, J. Maldacena, K. Behrndt, L. Susskind, M. Stone, R. B. Laughlin, R. Floreanini, S. Carlip, S. S. Gubser, X. G. Wen, X. G. Wen, Y. C. Kao, Y. S. Myung, Y. S. Myung, Y. S. Myung, Y. S. Myung   +25 more
core   +2 more sources

Many-Body Chern Number without Integration. [PDF]

Physical Review Letters, 2018
The celebrated work of Niu, Thouless, and Wu demonstrated the quantization of Hall conductance in the presence of many-body interactions by revealing the many-body counterpart of the Chern number.
Koji Kudo, Haruki Watanabe, T. Kariyado, Y. Hatsugai   +3 more
semanticscholar   +1 more source

Anyons, 't Hooft loops and a Generalized Connection in Three Dimensions

, 2002
We consider a generalized connection in three dimensions and show that it emerges in Chern-Simons-Maxwell theories when one studies the disorder instanton operator.
A. Alekseev, A. Kapustin, A. Karch, A. L. Fetter, A. Liguori, A. M. Polyakov, A. M. Polyakov, A. M. Polyakov, D. Diakonov, E. Witten, E. Witten, F. Wilczek, F. Wilczek, G. W. Moore, G. ’t Hooft, J. M. Maldacena, K. A. Intriligator, N. Itzhaki, N. Seiberg, O. Aharony, R. D. Pisarski, S. Deser, S. Deser, S. Deser, S. J. Rey, T. H. Skyrme, V. Borokhov, V. Borokhov, Y. H. Chen   +28 more
core   +2 more sources

Stochastic Quantization of the Chern-Simons Theory [PDF]

, 1992
We discuss Stochastic Quantization of $d$=3 dimensional non-Abelian Chern-Simons theory. We demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct ...
Ambjorn, Baulieu, Baulieu, Birmingham, Birmingham, Blau, Cecotti, Chen, Cugliandolo, Cugliandolo, Damgaard, Deser, Deser, Dune, F.A Schaposnik, Ferrari, Fujikawa, Fujikawa, Fujikawa, G.L Rossini, Horowitz, Jackiw, Kaul, L.F Cugliandolo, Labastida, Labastida, Namiki, Parisi, Parisi, Parisi, Pisarski, Polykronakos, Witten, Witten, Yu, Zwanziger   +35 more
core   +2 more sources

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, Turmoli Neogi, Arash Ranjbar   +2 more
doaj   +1 more source

Locality of topological dynamics in Chern insulators

SciPost Physics
A 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
doaj   +1 more source