• mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the ChernSimons 3-form. In the ChernSimons theory, the action is proportional...
    27 KB (3,591 words) - 12:48, 25 May 2025
  • mathematics, the ChernSimons forms are certain secondary characteristic classes. The theory is named for Shiing-Shen Chern and James Harris Simons, co-authors...
    5 KB (611 words) - 20:14, 30 December 2023
  • Thumbnail for Shiing-Shen Chern
    realized it. Chern classes Chern–Gauss–Bonnet theorem ChernSimons theory ChernSimons form Chern–Weil theory Chern–Weil homomorphism Chern Institute of...
    54 KB (6,146 words) - 17:14, 5 July 2025
  • Thumbnail for Jim Simons
    time". Simons developed the ChernSimons form (with Shiing-Shen Chern), and contributed to the development of string theory by providing a theoretical...
    64 KB (5,077 words) - 19:06, 16 June 2025
  • physics, six-dimensional holomorphic ChernSimons theory or sometimes holomorphic ChernSimons theory is a gauge theory on a three-dimensional complex manifold...
    4 KB (490 words) - 07:10, 12 July 2025
  • four-dimensional ChernSimons theory, also known as semi-holomorphic or semi-topological ChernSimons theory, is a quantum field theory initially defined...
    11 KB (1,480 words) - 06:32, 9 March 2025
  • mathematics, ∞-ChernSimons theory (not to be confused with infinite-dimensional ChernSimons theory) is a generalized formulation of ChernSimons theory from differential...
    3 KB (260 words) - 18:26, 19 June 2025
  • supersymmetry. Various calculations in topological string theory are closely related to ChernSimons theory, Gromov–Witten invariants, mirror symmetry, geometric...
    19 KB (2,687 words) - 02:18, 1 April 2025
  • Thumbnail for Yang–Mills equations
    and symmetry reduction scheme. Other such master theories are four-dimensional ChernSimons theory and the affine Gaudin model. The moduli space of Yang–Mills...
    25 KB (3,771 words) - 03:16, 7 July 2025
  • infinite-dimensional ChernSimons theory (not to be confused with ∞-ChernSimons theory) is a generalization of ChernSimons theory to manifolds with infinite...
    3 KB (328 words) - 20:09, 19 June 2025
  • that the exterior derivative of the ChernSimons action is equal to the instanton number, the 4-dimensional theory on M × S 1 {\displaystyle M\times S^{1}}...
    8 KB (1,291 words) - 06:29, 14 April 2025
  • from the Chern–Gauss–Bonnet theorem and the Riemann–Roch theorem to the Atiyah–Singer index theorem and ChernSimons theory. In field theory, the independent...
    40 KB (6,708 words) - 07:24, 12 May 2025
  • string theory, ChernSimons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes...
    42 KB (7,508 words) - 13:07, 21 April 2025
  • this contribution. A further treatment of composite fermions as a ChernSimons theory was developed by Ana María López and Eduardo Fradkin, and independently...
    27 KB (3,539 words) - 16:16, 2 July 2025
  • Gopakumar–Vafa duality (category String theory)
    in string theory, hence a correspondence between two different theories, in this case between ChernSimons theory and Gromov–Witten theory. The latter...
    4 KB (684 words) - 20:24, 5 April 2025
  • Geometric quantization of ChernSimons gauge theory. representations, 34, p. 39. Witten, E., 1991. Quantization of Chern-Simons gauge theory with complex gauge...
    72 KB (11,468 words) - 21:56, 6 July 2025
  • mathematics, ∞-Chern–Weil theory is a generalized formulation of Chern–Weil theory from differential geometry using the formalism of higher category theory. The...
    7 KB (1,221 words) - 12:23, 23 June 2025
  • topological theory with no gravitational local degrees of freedom. Physicists became interested in the relation between ChernSimons theory and gravity...
    3 KB (287 words) - 14:02, 20 May 2024
  • Jones polynomial (category Knot theory)
    given knot γ {\displaystyle \gamma } can be obtained by considering ChernSimons theory on the three-sphere with gauge group S U ( 2 ) {\displaystyle \mathrm...
    17 KB (2,352 words) - 15:42, 24 June 2025
  • Thumbnail for Quantum field theory
    quantum field theories (TQFTs) applicable to the frontier research of topological quantum matters include Chern-Simons-Witten gauge theories in 2+1 spacetime...
    107 KB (14,903 words) - 01:36, 27 May 2025
  • Thumbnail for Edward Witten
    realized that a physical theory now called ChernSimons theory could provide a framework for understanding the mathematical theory of knots and 3-manifolds...
    35 KB (3,120 words) - 22:11, 24 June 2025
  • Volume conjecture (category Knot theory)
    CS} is the ChernSimons invariant. They established a relationship between the complexified colored Jones polynomial and ChernSimons theory. Murakami...
    8 KB (1,038 words) - 02:45, 13 July 2025
  • holographic dual to M-theory on A d S 4 × S 7 {\displaystyle AdS_{4}\times S^{7}} . The ABJM theory is also closely related to ChernSimons theory, and it serves...
    2 KB (177 words) - 16:24, 27 July 2022
  • {\displaystyle S=\int \limits _{M}A\wedge dA.} Another more famous example is ChernSimons theory, which can be applied to knot invariants. In general, partition functions...
    27 KB (3,764 words) - 15:49, 21 May 2025
  • Thumbnail for Theoretical physics
    AdS/CFT correspondence, ChernSimons theory, graviton, magnetic monopole, string theory, theory of everything. Fringe theories include any new area of...
    24 KB (2,624 words) - 23:01, 18 June 2025
  • Society. He is known in the scientific community for co-developing the ChernSimons theory, which is used in modern theoretical physics. The firm uses quantitative...
    37 KB (3,543 words) - 21:35, 23 April 2025
  • related to the same topic. Chern–Weil homomorphism Chern class ChernSimons form ChernSimons theory Chern's conjecture (affine geometry) Pontryagin number...
    13 KB (1,856 words) - 17:14, 17 June 2025
  • field theory called ChernSimons theory. The latter theory was popularized by Witten in the late 1980s because of its applications to knot theory. In addition...
    62 KB (7,721 words) - 23:47, 11 June 2025
  • Yang–Mills theory, which is dual to Type IIB string theory on AdS5 × S5, and d = 3, N = 6 super-ChernSimons theory, which is dual to M-theory on AdS4 × S7...
    42 KB (7,037 words) - 16:04, 10 July 2025
  • as the higher-spin extension of pure ChernSimons, Jackiw–Teitelboim, selfdual (chiral) and Weyl gravity theories). Systematic study of massless arbitrary...
    38 KB (5,905 words) - 16:15, 4 January 2024