mathematicians Shiing-Shen Chern and James Harris Simons, who introduced the Chern–Simons 3-form. In the Chern–Simons theory, the action is proportional...
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mathematics, the Chern–Simons forms are certain secondary characteristic classes. The theory is named for Shiing-Shen Chern and James Harris Simons, co-authors...
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portal Chern classes Chern–Gauss–Bonnet theorem Chern–Simons theory Chern–Simons form Chern–Weil theory Chern–Weil homomorphism Chern-Lashof theory Chern-Bott...
54 KB (6,153 words) - 00:43, 21 February 2025
time". Simons developed the Chern–Simons 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 Chern–Simons theory, also known as semi-holomorphic or semi-topological Chern–Simons theory, is a quantum field theory initially defined...
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physics, six-dimensional holomorphic Chern–Simons theory or sometimes holomorphic Chern–Simons theory is a gauge theory on a three-dimensional complex manifold...
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mathematics, ∞-Chern–Simons theory (not to be confused with infinite-dimensional Chern–Simons theory) is a generalized formulation of Chern–Simons theory from differential...
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Yang–Mills equations (section Chern–Simons theory)
and symmetry reduction scheme. Other such master theories are four-dimensional Chern–Simons theory and the affine Gaudin model. The moduli space of Yang–Mills...
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supersymmetry. Various calculations in topological string theory are closely related to Chern–Simons theory, Gromov–Witten invariants, mirror symmetry, geometric...
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Parity anomaly (section Chern–Simons gauge theories)
that the exterior derivative of the Chern–Simons action is equal to the instanton number, the 4-dimensional theory on M × S 1 {\displaystyle M\times S^{1}}...
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infinite-dimensional Chern–Simons theory (not to be confused with ∞-Chern–Simons theory) is a generalization of Chern–Simons theory to manifolds with infinite...
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string theory, Chern–Simons theory, knot theory, and Gromov–Witten invariants. Chern classes were introduced by Shiing-Shen Chern (1946). Chern classes...
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Composite fermion (section Chern–Simons field theory)
this contribution. A further treatment of composite fermions as a Chern–Simons theory was developed by Ana María López and Eduardo Fradkin, and independently...
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from the Chern–Gauss–Bonnet theorem and the Riemann–Roch theorem to the Atiyah–Singer index theorem and Chern–Simons theory. In field theory, the independent...
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topological theory with no gravitational local degrees of freedom. Physicists became interested in the relation between Chern–Simons theory and gravity...
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Geometric quantization of Chern–Simons gauge theory. representations, 34, p. 39. Witten, E., 1991. Quantization of Chern-Simons gauge theory with complex gauge...
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Jones polynomial (category Knot theory)
given knot γ {\displaystyle \gamma } can be obtained by considering Chern–Simons theory on the three-sphere with gauge group S U ( 2 ) {\displaystyle \mathrm...
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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 Chern–Simons theory, and it serves...
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mathematics, ∞-Chern–Weil theory is a generalized formulation of Chern–Weil theory from differential geometry using the formalism of higher category theory. The...
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Edward Witten (section M-theory)
realized that a physical theory now called Chern–Simons theory could provide a framework for understanding the mathematical theory of knots and 3-manifolds...
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Volume conjecture (category Knot theory)
CS} is the Chern–Simons invariant. They established a relationship between the complexified colored Jones polynomial and Chern–Simons theory. Murakami...
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quantum field theories (TQFTs) applicable to the frontier research of topological quantum matters include Chern-Simons-Witten gauge theories in 2+1 spacetime...
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Theoretical physics (redirect from Physics theory)
AdS/CFT correspondence, Chern–Simons theory, graviton, magnetic monopole, string theory, theory of everything. Fringe theories include any new area of...
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Yang–Mills theory, which is dual to Type IIB string theory on AdS5 × S5, and d = 3, N = 6 super-Chern–Simons theory, which is dual to M-theory on AdS4 × S7...
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{\displaystyle S=\int \limits _{M}A\wedge dA.} Another more famous example is Chern–Simons theory, which can be applied to knot invariants. In general, partition functions...
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model Gross–Neveu model Theories whose matter content consists only of gauge fields Yang–Mills theory Proca theory Chern–Simons theory Spinor and scalar Yukawa...
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Society. He is known in the scientific community for co-developing the Chern–Simons 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...
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field theory called Chern–Simons theory. The latter theory was popularized by Witten in the late 1980s because of its applications to knot theory. In addition...
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as the higher-spin extension of pure Chern–Simons, Jackiw–Teitelboim, selfdual (chiral) and Weyl gravity theories). Systematic study of massless arbitrary...
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