• the spinor representation on the irreducible spinor (or half-spinor) modules. Pure spinors, defined up to projectivization, are called projective pure spinors...
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  • Thumbnail for Spinor
    tensors, a spinor transforms to its negative when the space rotates through 360° (see picture). It takes a rotation of 720° for a spinor to go back to...
    72 KB (9,924 words) - 00:31, 24 September 2024
  • Thumbnail for Quadric (algebraic geometry)
    there are two spinor bundles S + , S − {\displaystyle S_{+},S_{-}} of rank 2 m − 1 {\displaystyle 2^{m-1}} for n = 2m, and one spinor bundle S of rank...
    21 KB (3,537 words) - 19:37, 2 October 2024
  • algebra on spinors. A spinor is said to be a pure spinor if it is annihilated by half of a set of a set of generators of the Clifford algebra. Spinors are sections...
    21 KB (3,145 words) - 11:33, 9 October 2024
  • S2CID 53666173. Berkovits, Nathan (2014-03-01). "Infinite tension limit of the pure spinor superstring". Journal of High Energy Physics. 2014 (3): 17. arXiv:1311...
    35 KB (4,205 words) - 06:14, 28 August 2024
  • of spinning string, maintaining space-time supersymmetry manifest, is possible in a formalism inspired on the GS formalism, known as pure spinor formalism...
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  • Thumbnail for Holonomy
    projective pure spinor field. If M is a spin manifold, then Hol(ω) ⊂ SU(n) if and only if M admits at least two linearly independent parallel pure spinor fields...
    41 KB (5,871 words) - 04:52, 3 October 2024
  • are not eigenfunctions of the total spin-squared operator, Ŝ2, but can formally be expanded in terms of pure spin states of higher multiplicities (the...
    17 KB (2,160 words) - 08:16, 9 August 2023
  • deformations. A formulation of superstring field theory using the non-minimal pure-spinor variables was introduced by Berkovits. The action is cubic and includes...
    36 KB (5,311 words) - 04:19, 7 November 2023
  • this half-dimensional space is the annihilator of a nowhere vanishing pure spinor then M is a generalized Calabi–Yau manifold. Almost quaternionic manifold –...
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  • Thumbnail for Bloch sphere
    real dimension of the pure state space of an m-qubit quantum register is 2m+1 − 2. Mathematically the Bloch sphere for a two-spinor state can be mapped...
    23 KB (3,793 words) - 22:40, 16 July 2024
  • Quantum state (redirect from Pure state)
    the abstract vector states. In both categories, quantum states divide into pure versus mixed states, or into coherent states and incoherent states. Categories...
    46 KB (6,147 words) - 13:37, 30 September 2024
  • projectivized minimal spinor orbit, under the spin representation, the so-called projective pure spinor variety which, similarly to the image of the Plücker...
    48 KB (8,384 words) - 01:08, 26 September 2024
  • Einstein – Cartan theory Hermitian symmetric space Moving frame Pseudogroup Pure spinor O'Connor, John J.; Robertson, Edmund F., "Élie Cartan", MacTutor History...
    28 KB (3,382 words) - 03:17, 22 September 2024
  • used in some parts of geometry. See: Spin group Spin-c group Spinor Pin group Pinors Spinor field Killing spinor Spin manifold Ricci, Gregorio; Levi-Civita...
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  • Spin pumping is the dynamical generation of pure spin current by the coherent precession of magnetic moments, which can efficiently inject spin from a...
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  • theory Theories whose matter content consists only of spinor fields Dirac theory: free spinor field theory Thirring model Nambu–Jona-Lasinio model Gross–Neveu...
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  • Thumbnail for Pure Heroine
    Pure Heroine is the debut studio album by New Zealand singer-songwriter Lorde. It was released on 27 September 2013 by Universal, Lava, and Republic Records...
    174 KB (12,146 words) - 19:05, 25 September 2024
  • Pure Guava is the third studio album and major label debut by American rock band Ween, released on November 10, 1992, by Elektra Records. The record contains...
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  • Pure Comedy is the third studio album by American folk musician Josh Tillman under his pseudonym Father John Misty. Its release was announced on January...
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  • This effect is similar to the spin Hall effect, where a pure spin current is induced by an electrical current. The spin Nernst effect can be detected...
    5 KB (510 words) - 19:55, 21 September 2024
  • In mathematics, the spinor concept as specialised to three dimensions can be treated by means of the traditional notions of dot product and cross product...
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  • equation, using a four-component spinor (known as a "Dirac spinor") for the electron wave-function. In 1940, Pauli proved the spin–statistics theorem, which...
    72 KB (10,640 words) - 16:30, 11 October 2024
  • (TMR), Spin valve Spin transfer torque (STT) Spin injection Pure spin currents Spin pumping Spin waves, magnonics (inverse) Spin Hall effect Spin calorics...
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  • Pure Moods is the first United States release of a series of compilation albums of new-age music released by Virgin Records. The original was titled Moods...
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  • Thumbnail for John von Neumann
    perhaps the widest coverage of any mathematician of his time, integrating pure and applied sciences and making major contributions to many fields, including...
    205 KB (23,347 words) - 14:47, 4 October 2024
  • again that fast tumbling spins, such as those in pure water, have similar T1 and T2 relaxation times, while slow tumbling spins, such as those in crystal...
    10 KB (1,100 words) - 00:28, 8 May 2024
  • on superstring field theory, twistor string theory, topological and pure-spinor strings. He obtained exact solutions to Berkovits’ string field theory...
    23 KB (2,596 words) - 07:59, 27 February 2024
  • Thumbnail for Quantum entanglement
    which are (maximally) entangled pure states (pure states of the HA ⊗ HB space, but which cannot be separated into pure states of each HA and HB). Now suppose...
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  • Dyons 1973 Conformally Invariant Massive Spinor Equations .1. 1973 Conformally Invariant Massive and Massless Spinor Equations .2. Solutions of Wave-Equations...
    30 KB (3,801 words) - 22:55, 22 April 2024