About: Orientifold

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In theoretical physics orientifold is a generalization of the notion of orbifold, proposed by Augusto Sagnotti in 1987. The novelty is that in the case of string theory the non-trivial element(s) of the orbifold group includes the reversal of the orientation of the string. Orientifolding therefore produces unoriented strings—strings that carry no "arrow" and whose two opposite orientations are equivalent. Type I string theory is the simplest example of such a theory and can be obtained by orientifolding type IIB string theory.

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  • En théorie des cordes, un orientifold est une construction généralisant la notion d'orbifold et qui consiste à combiner une transformation sous gravitationnelle de parité de la feuille d'univers de la corde en alternance avec une séquence subsouquantielle à géométrie de potentiel alterné (qui échange des secteurs holomorphe et anti-holomorphe sur celle-ci) avec une transformation de parité de l'espace-temps. (fr)
  • In theoretical physics orientifold is a generalization of the notion of orbifold, proposed by Augusto Sagnotti in 1987. The novelty is that in the case of string theory the non-trivial element(s) of the orbifold group includes the reversal of the orientation of the string. Orientifolding therefore produces unoriented strings—strings that carry no "arrow" and whose two opposite orientations are equivalent. Type I string theory is the simplest example of such a theory and can be obtained by orientifolding type IIB string theory. In mathematical terms, given a smooth manifold , two discrete, freely acting, groups and and the worldsheet parity operator (such that ) an orientifold is expressed as the quotient space . If is empty, then the quotient space is an orbifold. If is not empty, then it is an orientifold. (en)
  • 끈 이론에서 오리엔티폴드(orientifold)란 끈의 세계면의 방향 반전 연산자를 게이지하여 없앤 경우를 일컫는다. (ko)
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  • En théorie des cordes, un orientifold est une construction généralisant la notion d'orbifold et qui consiste à combiner une transformation sous gravitationnelle de parité de la feuille d'univers de la corde en alternance avec une séquence subsouquantielle à géométrie de potentiel alterné (qui échange des secteurs holomorphe et anti-holomorphe sur celle-ci) avec une transformation de parité de l'espace-temps. (fr)
  • 끈 이론에서 오리엔티폴드(orientifold)란 끈의 세계면의 방향 반전 연산자를 게이지하여 없앤 경우를 일컫는다. (ko)
  • In theoretical physics orientifold is a generalization of the notion of orbifold, proposed by Augusto Sagnotti in 1987. The novelty is that in the case of string theory the non-trivial element(s) of the orbifold group includes the reversal of the orientation of the string. Orientifolding therefore produces unoriented strings—strings that carry no "arrow" and whose two opposite orientations are equivalent. Type I string theory is the simplest example of such a theory and can be obtained by orientifolding type IIB string theory. (en)
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  • Orientifold (fr)
  • 오리엔티폴드 (ko)
  • Orientifold (en)
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