. . . . "La th\u00E9orie de Liouville propose un mod\u00E8le particulier de th\u00E9orie des cordes dont l'espace cible est de dimension 2."@fr . . "La th\u00E9orie de Liouville propose un mod\u00E8le particulier de th\u00E9orie des cordes dont l'espace cible est de dimension 2."@fr . . . . . . "Liouville field theory"@en . "In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the central charge of its Virasoro symmetry algebra, but it is unitary only if , and its classical limit is . Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically."@en . . . . . . . "1121257729"^^ . . . . . . . . "\u30EA\u30A6\u30F4\u30A3\u30EB\u5834\u7406\u8AD6"@ja . . . . . . "Na f\u00EDsica, teoria de campo de Liouville, ou simplesmente (teoria de Liouville) \u00E9 uma teoria qu\u00E2ntica de campos bidimensional cuja equa\u00E7\u00E3o cl\u00E1ssica de movimento se assemelha a equa\u00E7\u00E3o diferencial n\u00E3o-linear de segunda ordem de Joseph Liouville a que aparece no problema geom\u00E9trico cl\u00E1ssico de uniformiza\u00E7\u00E3o de superf\u00EDcies de Riemann. A teoria de campo \u00E9 definida pela a\u00E7\u00E3o local: onde \u00E9 a m\u00E9trica do espa\u00E7o bidimensional em que a teoria de campo \u00E9 formulada, \u00E9 o escalar Ricci de tal espa\u00E7o, e \u00E9 um acoplamento constante real. O campo \u00E9 consequentemente chamado de campo Liouville."@pt . . . . . . . . . . . . . . . . . . . . . . . . . "Th\u00E9orie de Liouville"@fr . . . . . . . . . . . . "31224296"^^ . . 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3\u6B21\u5143\u4E00\u822C\u76F8\u5BFE\u8AD6\u30014\u6B21\u5143\u306E\u8D85\u5BFE\u79F0\u6027\u3092\u6301\u3064\u5171\u5F62\u30B2\u30FC\u30B8\u7406\u8AD6\u3001\u30EA\u30FC\u30DE\u30F3\u9762\u306E\u7D71\u4E00\u554F\u984C\u3001\u5171\u5F62\u5199\u50CF\u306E\u554F\u984C\u306A\u3069\u304C\u3042\u308B\u3002\u3053\u306E\u7406\u8AD6\u306F\u307E\u305F\u30012\u6B21\u5143\u306E\u30A2\u30D5\u30A3\u30F3\u5BFE\u79F0\u6027\u3092\u6301\u3064\u975E\u6709\u7406\u7684\u306A\u5171\u5F62\u5834\u7406\u8AD6\u306B\u3082\u95A2\u4FC2\u3057\u3066\u3044\u308B\u3002\u3053\u306E\u4F8B\u3068\u3057\u3066\u306F\u3001\u7FA4 \u306B\u5BFE\u3059\u308BWZW\u30E2\u30C7\u30EB (Wess\u2013Zumino\u2013Novikov\u2013Witten theory)\u3001\u3055\u3089\u306B\u3001 (Toda field theories) \u306E\u65CF\u306E \u306E\u7279\u5225\u306A\u5834\u5408\u3068\u3082\u8003\u3048\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3002\u30EA\u30A6\u30F4\u30A3\u30EB\u7406\u8AD6\u306F\u307E\u305F\u3001\u8D85\u5BFE\u79F0\u6027\u3092\u6301\u3064\u62E1\u5F35\u3082\u3067\u304D\u308B\u3002"@ja . . . "Teoria de campo de Liouville"@pt . . "\u7269\u7406\u5B66\u306B\u304A\u3051\u308B\u30EA\u30A6\u30F4\u30A3\u30EB\u5834\u7406\u8AD6\uFF08\u3042\u308B\u3044\u306F\u5358\u306B\u30EA\u30A6\u30F4\u30A3\u30EB\u7406\u8AD6\u3001\u82F1: Liouville field theory, Liouville theory\uFF09\u3068\u306F\u30012-\u6B21\u5143\u306E\u5834\u306E\u91CF\u5B50\u8AD6\u3067\u3001\u53E4\u5178\u7684\u306A\u904B\u52D5\u65B9\u7A0B\u5F0F\u304C\u30B8\u30E7\u30BC\u30D5\u30FB\u30EA\u30A6\u30F4\u30A3\u30EB\u306E\u30EA\u30FC\u30DE\u30F3\u9762\u3092\u7D71\u4E00\u3059\u308B\u53E4\u5178\u7684\u306A\u5E7E\u4F55\u5B66\u7684\u554F\u984C\u3067\u73FE\u308C\u308B\u975E\u7DDA\u578B\u7B2C\u4E8C\u968E\u5FAE\u5206\u65B9\u7A0B\u5F0F\u3068\u306A\u3063\u3066\u3044\u308B\u5834\u306E\u91CF\u5B50\u8AD6\u3092\u8A00\u3046\u3002 \u3053\u306E\u5834\u306E\u7406\u8AD6\u306F\u6B21\u306E\u5C40\u6240\u7684\u306A\u4F5C\u7528\u3067\u5B9A\u7FA9\u3055\u308C\u308B\u3002 \u3053\u3053\u306B \u306F 2\u6B21\u5143\u306E\u7A7A\u9593\u306E\u8A08\u91CF\u3067\u3042\u308A\u3001\u3053\u306E\u9762\u306E\u4E0A\u306B\u5834\u306E\u7406\u8AD6\u304C\u5B9A\u5F0F\u5316\u3055\u308C\u308B\u3002R \u306F\u3053\u306E\u9762\u306E\u30EA\u30C3\u30C1\u30B9\u30AB\u30E9\u30FC\u3067\u3042\u308A\u3001b \u306F\u5B9F\u6570\u306E\u7D50\u5408\u5B9A\u6570\u3067\u3042\u308B\u3002\u5834 \u03C6 \u306F\u3001\u7D50\u5C40\u3001\u30EA\u30A6\u30F4\u30A3\u30EB\u5834\u3092\u8003\u3048\u3066\u3044\u308B\u3002 \u3053\u306E\u4F5C\u7528\u306B\u4ED8\u968F\u3059\u308B\u904B\u52D5\u65B9\u7A0B\u5F0F\u306F\u3001 \u3067\u3001\u3053\u3053\u306B \u306F\u3001\u305D\u306E\u3088\u3046\u306A\u7A7A\u9593\u306E\u4E2D\u306E\u30C0\u30E9\u30F3\u30D9\u30FC\u30EB\u6F14\u7B97\u5B50\uFF08\u30C0\u30E9\u30F3\u30D9\u30FC\u30EB\u4F5C\u7528\u7D20\uFF09\u3067\u3042\u308B\uFF08\u307E\u305F\u3001\u30E9\u30D7\u30E9\u30B9\u4F5C\u7528\u7D20\u3082\u53C2\u7167\u306E\u3053\u3068\uFF09\u3002\u7A7A\u9593\u306E\u8A08\u91CF\u304C\u30E6\u30FC\u30AF\u30EA\u30C3\u30C9\u8A08\u91CF\u306E\u5834\u5408\u306F\u3001\u6A19\u6E96\u7684\u306A\u8A18\u6CD5\u3092\u4F7F\u3044\u3001\u3053\u306E\u65B9\u7A0B\u5F0F\u304C\u53E4\u5178\u7684\u306A\u30EA\u30A6\u30F4\u30A3\u30EB\u65B9\u7A0B\u5F0F\u3068\u306A\u308B\u3002 \u30EA\u30A6\u30F4\u30A3\u30EB\u5834\u7406\u8AD6\u306F\u3001\u975E\u6709\u7406\u306A\u5171\u5F62\u5834\u7406\u8AD6\u3068\u547C\u3070\u308C\u308B\u7406\u8AD6\u306E\u6700\u3082\u7406\u89E3\u304C\u306A\u3055\u308C\u3066\u3044\u308B\u4F8B\u306E\u4E00\u3064\u3067\u3001\u3044\u304F\u3064\u304B\u306E\u89B3\u6E2C\u53EF\u80FD\u91CF\u304C\u660E\u78BA\u306A\u65B9\u6CD5\u3067\u8A08\u7B97\u3059\u308B\u3053\u3068\u304C\u3067\u304D\u308B\u3002\u3053\u306E\u8A08\u7B97\u306F\u3001\u7403\u306E\u30C8\u30DD\u30ED\u30B8\u30FC\u306E\u30D7\u30E9\u30A4\u30DE\u30EA\u4F5C\u7528\u7D20\u306E 2\u70B9\u76F8\u95A2\u51FD\u6570\u30013\u70B9\u76F8\u95A2\u51FD\u6570\u306E\u5834\u5408\u3067\u3042\u308B\u3002 \u30C8\u30FC\u30E9\u30B9\u4E0A\u306E\u5206\u914D\u51FD\u6570\u3084\u30C7\u30A3\u30B9\u30AF\u4E0A\u306E 1\u70B9\u76F8\u95A2\u51FD\u6570\u306E\u3088\u3046\u306A\u3001\u4ED6\u306E\u30C8\u30DD\u30ED\u30B8\u30FC\u306E\u4E0A\u3067\u5B9A\u7FA9\u3055\u308C\u305F\u7406\u8AD6\u306E\u89B3\u6E2C\u53EF\u80FD\u91CF\u306E\u660E\u78BA\u306A\u8868\u73FE\u3082\u3001\u6700\u8FD1\u8A08\u7B97\u3055\u308C\u305F\u3002"@ja . . . "\uC591\uC790\uC7A5\uB860\uC5D0\uC11C \uB9AC\uC6B0\uBE4C \uC7A5\uB860(Liouville\u5834\u8AD6, \uC601\uC5B4: Liouville field theory)\uC740 \uBE44\uC784\uACC4 \uB048 \uC774\uB860\uC758 \uC138\uACC4\uBA74 \uC774\uB860\uC73C\uB85C \uB4F1\uC7A5\uD558\uB294 2\uCC28\uC6D0 \uB4F1\uAC01 \uC7A5\uB860\uC774\uB2E4.\uBB34\uB9AC \uB4F1\uAC01 \uC7A5\uB860\uC758 \uB300\uD45C\uC801\uC778 \uC608\uC774\uBA70, 1\uCC28\uC7A5\uB4E4\uC758 \uC2A4\uD399\uD2B8\uB7FC\uC774 \uC5F0\uC18D\uC801\uC774\uB2E4. \uBAA8\uB4E0 \uC0C1\uAD00 \uD568\uC218\uB4E4\uC774 \uC54C\uB824\uC838 \uC788\uB2E4."@ko . . . . . . . . . . . . . . . . . . . "\uB9AC\uC6B0\uBE4C \uC7A5\uB860"@ko . . . . . "In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the central charge of its Virasoro symmetry algebra, but it is unitary only if , and its classical limit is . Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically."@en . . "25008"^^ . . . . . . . . . . "\uC591\uC790\uC7A5\uB860\uC5D0\uC11C \uB9AC\uC6B0\uBE4C \uC7A5\uB860(Liouville\u5834\u8AD6, \uC601\uC5B4: Liouville field theory)\uC740 \uBE44\uC784\uACC4 \uB048 \uC774\uB860\uC758 \uC138\uACC4\uBA74 \uC774\uB860\uC73C\uB85C \uB4F1\uC7A5\uD558\uB294 2\uCC28\uC6D0 \uB4F1\uAC01 \uC7A5\uB860\uC774\uB2E4.\uBB34\uB9AC \uB4F1\uAC01 \uC7A5\uB860\uC758 \uB300\uD45C\uC801\uC778 \uC608\uC774\uBA70, 1\uCC28\uC7A5\uB4E4\uC758 \uC2A4\uD399\uD2B8\uB7FC\uC774 \uC5F0\uC18D\uC801\uC774\uB2E4. \uBAA8\uB4E0 \uC0C1\uAD00 \uD568\uC218\uB4E4\uC774 \uC54C\uB824\uC838 \uC788\uB2E4."@ko . . . "Na f\u00EDsica, teoria de campo de Liouville, ou simplesmente (teoria de Liouville) \u00E9 uma teoria qu\u00E2ntica de campos bidimensional cuja equa\u00E7\u00E3o cl\u00E1ssica de movimento se assemelha a equa\u00E7\u00E3o diferencial n\u00E3o-linear de segunda ordem de Joseph Liouville a que aparece no problema geom\u00E9trico cl\u00E1ssico de uniformiza\u00E7\u00E3o de superf\u00EDcies de Riemann. A teoria de campo \u00E9 definida pela a\u00E7\u00E3o local: onde \u00E9 a m\u00E9trica do espa\u00E7o bidimensional em que a teoria de campo \u00E9 formulada, \u00E9 o escalar Ricci de tal espa\u00E7o, e \u00E9 um acoplamento constante real. O campo \u00E9 consequentemente chamado de campo Liouville. A equa\u00E7\u00E3o de movimento associado a esta a\u00E7\u00E3o \u00E9 :: onde \u00E9 o operador de d'Alembert nesse espa\u00E7o. No caso, a m\u00E9trica do espa\u00E7o sendo a m\u00E9trica Euclidiana e utilizando a nota\u00E7\u00E3o padr\u00E3o, torna-se a equa\u00E7\u00E3o cl\u00E1ssica de Liouville."@pt . .