Special unitary group (redirect from SU(2))
).} The SU(n) groups find wide application in the Standard Model of particle physics, especially SU(2) in the electroweak interaction and SU(3) in quantum...
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The Sukhoi Su-2 (Russian: Сухой Су-2) is a Soviet reconnaissance and light bomber aircraft used in the early stages of World War II. It was the first...
9 KB (941 words) - 07:46, 26 November 2024
Mathematical formulation of the Standard Model (redirect from SU(3) × SU(2) × U(1))
theory containing the internal symmetries of the unitary product group SU(3) × SU(2) × U(1). The theory is commonly viewed as describing the fundamental...
64 KB (7,729 words) - 16:15, 24 June 2025
the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups...
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the real Lie algebra s u ( 2 ) {\displaystyle {\mathfrak {su}}(2)} , which exponentiates to the special unitary group SU(2). The algebra generated by...
45 KB (7,495 words) - 12:51, 23 May 2025
= [ 1 − 2 y 2 − 2 z 2 2 x y − 2 z w 2 x z + 2 y w 2 x y + 2 z w 1 − 2 x 2 − 2 z 2 2 y z − 2 x w 2 x z − 2 y w 2 y z + 2 x w 1 − 2 x 2 − 2 y 2 ] . {\displaystyle...
65 KB (11,406 words) - 13:23, 8 July 2025
Grand Unified Theory (section SU(5))
and Trinification – SU(3) × SU(3) × SU(3) minimal left-right model – SU(3)C × SU(2)L × SU(2)R × U(1)B−L 331 model – SU(3)C × SU(3)L × U(1)X chiral color...
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Russian Defense Ministry in 1996. Of the Flanker family, the Su-27, Su-30, Su-33, Su-34 and Su-35 have been ordered into limited or serial production by...
115 KB (10,349 words) - 11:05, 6 July 2025
U(1) group, W→μ is the 3-component SU(2) gauge field, →τL are the Pauli matrices – infinitesimal generators of the SU(2) group – with subscript L to indicate...
67 KB (7,518 words) - 12:16, 11 June 2025
mathematics, especially differential geometry, principal SU ( 2 ) {\displaystyle \operatorname {SU} (2)} -bundles (or principal Sp ( 1 ) {\displaystyle...
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ceramics possess the property of superconductivity at low temperatures. The SU(2) color quark matter adjoins the list of superconducting systems. Although...
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Structure constants (section 𝔰𝔲(2) and 𝔰𝔬(3))
case for details. The algebra s u ( 2 ) {\displaystyle {\mathfrak {su}}(2)} of the special unitary group SU(2) is three-dimensional, with generators...
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The Sukhoi Su-34 (Russian: Сухой Су-34; NATO reporting name: Fullback) is a Soviet-origin Russian twin-engine, twin-seat, all-weather supersonic medium-range...
120 KB (10,532 words) - 08:48, 9 July 2025
2 . {\displaystyle {\frac {\mathrm {SU} (2)_{\text{L}}\times \mathrm {SU} (2)_{\text{R}}\times \mathrm {U} (1)_{B-L}}{\mathbb {Z} _{2}}}.} Here, SU(2)L...
28 KB (3,792 words) - 23:46, 22 June 2025
Peter–Weyl theorem (section An example: SU(2))
of the group SU(2) as SU ( 2 ) = { ( α − β ¯ β α ¯ ) : α , β ∈ C , | α | 2 + | β | 2 = 1 } , {\displaystyle \operatorname {SU} (2)=\left\{{\begin{pmatrix}\alpha...
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In applied mathematics, finite subgroups of SU(2) are groups composed of rotations and related transformations, employed particularly in the field of physical...
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The Sukhoi Su-35 (Russian: Сухой Су-35; NATO reporting name: Flanker-E/M, occasionally nicknamed "Super Flanker") is the designation for two improved derivatives...
137 KB (13,419 words) - 16:39, 6 July 2025
.su is an Internet country code top-level domain (ccTLD) that was designated for the Soviet Union on 19 September 1990. Even though the Soviet Union itself...
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development of variants of the Su-2, the prototype cannon-armed Sukhoi Su-1 (Su-3) fighter, as well as the Sukhoi Su-8, which to serve as a long-range...
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In this case, the Lie algebra is SU(2) or SO(3) in physics notation ( su ( 2 ) {\displaystyle \operatorname {su} (2)} or so ( 3 ) {\displaystyle \operatorname...
42 KB (6,691 words) - 18:42, 16 April 2025
Georgi–Glashow model (redirect from Minimal SU(5))
Standard Model gauge groups SU(3) × SU(2) × U(1) are combined into a single simple gauge group SU(5). The unified group SU(5) is then thought to be spontaneously...
27 KB (4,583 words) - 08:31, 8 June 2025
The group SU(2) is the group of 2 × 2 {\displaystyle 2\times 2} unitary matrices with determinant 1 {\displaystyle 1} . Topologically, SU ( 2 ) {\displaystyle...
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2 + b 2 − c 2 − d 2 2 ( b c − a d ) 2 ( b d + a c ) 2 ( b c + a d ) a 2 + c 2 − b 2 − d 2 2 ( c d − a b ) 2 ( b d − a c ) 2 ( c d + a b ) a 2 + d 2 −...
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Dual representation (section The SU(2) and SU(3) cases)
theory of SU(2), the dual of each irreducible representation does turn out to be isomorphic to the representation. But for the representations of SU(3), the...
10 KB (1,699 words) - 19:20, 8 October 2024
Principal SU ( 2 ) {\displaystyle \operatorname {SU} (2)} -bundle over S 4 {\displaystyle S^{4}} . Parallelizable. SO ( 8 ) / SO ( 7 ) = SU ( 4...
38 KB (7,348 words) - 04:00, 6 July 2025
SU(5) generator and χ. This is known as flipped SU(5). Another important subgroup is either [SU(4) × SU(2)L × SU(2)R]/Z2 or Z2 ⋊ [SU(4) × SU(2)L × SU(2)R]/Z2...
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2012. The Su-25T and the Su-25TM (also known as the Su-39) were further developments, not produced in significant numbers. The Su-25, and the Su-34, were...
110 KB (10,810 words) - 19:32, 24 June 2025
the electroweak part of the standard model is SU(2)L × U(1)Y. The group SU(2) is the group of all 2-by-2 unitary matrices with unit determinant; all the...
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a Ricci flat metric with holonomy strictly smaller than S U ( 2 ) {\displaystyle SU(2)} (in fact trivial) so are not Calabi–Yau manifolds according to...
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Standard Model is a non-abelian gauge theory with the symmetry group U(1) × SU(2) × SU(3) and has a total of twelve gauge bosons: the photon, three weak bosons...
48 KB (6,822 words) - 08:01, 5 July 2025