• Thumbnail for Special unitary group
    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...
    35 KB (5,722 words) - 00:23, 17 May 2025
  • Thumbnail for Sukhoi Su-2
    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
  • Thumbnail for Mathematical formulation of the Standard Model
    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...
    19 KB (3,369 words) - 19:06, 2 December 2024
  • Thumbnail for Pauli matrices
    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 22 z 2 2 x y − 2 z w 2 x z + 2 y w 2 x y + 2 z w 1 − 2 x 22 z 2 2 y z − 2 x w 2 x z − 2 y w 2 y z + 2 x w 1 − 2 x 22 y 2 ] . {\displaystyle...
    65 KB (11,406 words) - 13:23, 8 July 2025
  • Thumbnail for Grand Unified Theory
    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...
    32 KB (4,146 words) - 19:27, 27 April 2025
  • Thumbnail for Sukhoi Su-30
    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
  • Thumbnail for Standard Model
    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...
    15 KB (2,518 words) - 12:59, 7 July 2025
  • ceramics possess the property of superconductivity at low temperatures. The SU(2) color quark matter adjoins the list of superconducting systems. Although...
    8 KB (928 words) - 18:21, 28 December 2024
  • Thumbnail for Structure constants
    case for details. The algebra s u ( 2 ) {\displaystyle {\mathfrak {su}}(2)} of the special unitary group SU(2) is three-dimensional, with generators...
    20 KB (3,713 words) - 10:09, 9 May 2025
  • Thumbnail for Sukhoi Su-34
    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
  • 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...
    16 KB (2,480 words) - 07:24, 15 June 2025
  • Thumbnail for Finite subgroups of SU(2)
    In applied mathematics, finite subgroups of SU(2) are groups composed of rotations and related transformations, employed particularly in the field of physical...
    35 KB (3,974 words) - 13:13, 28 May 2025
  • Thumbnail for Sukhoi Su-35
    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
  • Thumbnail for .su
    .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...
    11 KB (934 words) - 05:28, 25 May 2025
  • Thumbnail for Sukhoi
    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...
    23 KB (2,233 words) - 18:08, 23 May 2025
  • 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
  • Thumbnail for Georgi–Glashow model
    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
  • Thumbnail for Lie group
    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...
    65 KB (9,490 words) - 15:29, 22 April 2025
  • 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 −...
    14 KB (2,432 words) - 21:03, 20 May 2025
  • 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
  • Thumbnail for N-sphere
    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
  • Thumbnail for SO(10)
    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...
    11 KB (1,593 words) - 12:54, 24 June 2025
  • Thumbnail for Sukhoi Su-25
    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
  • Thumbnail for Higgs mechanism
    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...
    56 KB (6,697 words) - 21:28, 6 June 2025
  • Thumbnail for Calabi–Yau manifold
    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...
    24 KB (3,303 words) - 13:00, 14 June 2025
  • Thumbnail for Gauge theory
    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