• mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the ChernSimons 3-form. In the ChernSimons theory, the action is proportional...
    26 KB (3,591 words) - 17:24, 18 April 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
    portal Chern classes Chern–Gauss–Bonnet theorem ChernSimons theory ChernSimons form Chern–Weil theory Chern–Weil homomorphism Chern-Lashof theory Chern-Bott...
    54 KB (6,153 words) - 00:43, 21 February 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 (5,082 words) - 22:51, 22 April 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
  • physics, six-dimensional holomorphic ChernSimons theory or sometimes holomorphic ChernSimons theory is a gauge theory on a three-dimensional complex manifold...
    4 KB (470 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 (225 words) - 16:53, 5 May 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...
    24 KB (3,763 words) - 16:20, 7 February 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
  • 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
  • infinite-dimensional ChernSimons theory (not to be confused with ∞-ChernSimons theory) is a generalization of ChernSimons theory to manifolds with infinite...
    3 KB (304 words) - 21:53, 21 April 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) - 05:02, 28 March 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 (6,704 words) - 16:22, 18 April 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
  • 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) - 19:55, 20 February 2025
  • 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) - 23:01, 4 January 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
  • 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 (1,219 words) - 16:54, 5 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) - 22:12, 13 April 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) - 06:53, 5 December 2024
  • 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 (14,885 words) - 22:36, 8 April 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) - 19:39, 3 May 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 (7,036 words) - 08:25, 28 April 2025
  • {\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) - 11:13, 29 April 2025
  • model Gross–Neveu model Theories whose matter content consists only of gauge fields Yang–Mills theory Proca theory ChernSimons theory Spinor and scalar Yukawa...
    3 KB (276 words) - 18:02, 16 April 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
  • In mathematics, the Chern–Weil homomorphism is a basic construction in Chern–Weil theory that computes topological invariants of vector bundles and principal...
    15 KB (2,782 words) - 06:37, 9 March 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) - 16:57, 28 January 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