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.
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In physics, Liouvillefieldtheory (or simply Liouvilletheory) is a two-dimensional conformal fieldtheory whose classical equation of motion is a generalization...
In physics, a unified fieldtheory (UFT) is a type of fieldtheory that allows all that is usually thought of as fundamental forces and elementary particles...
1809. His parents were Claude-Joseph Liouville (an army officer) and Thérèse Liouville (née Balland). Liouville gained admission to the École Polytechnique...
Toda field theory. Toda field theories are integrable models and their solutions describe solitons. Liouvillefieldtheory is associated to the A1 Cartan...
Singularity theory Soliton theory Spectral theory String theory Sturm-Liouvilletheory Surgery theory Teichmüller theoryTheory of equations Theory of statistics...
formula Liouville function Liouville dynamical system LiouvillefieldtheoryLiouville gravity Liouville integrability Liouville measure Liouville number...
is complete require Galois theory). Galois' work was published by Joseph Liouville fourteen years after his death. The theory took longer to become popular...
continuous spectrum. And in dimension two, Liouvilletheory is unitary but not compact. A conformal fieldtheory may have extra symmetries in addition to...
algebraic numbers was not possible before Cantor's first set theory article in 1874. Liouville, J. (1844). "Sur les classes très étendues de quantités dont...
physicist known for his contributions to quantum fieldtheory, quantum gravity and the Liouville string theory. Today, the application of this technique is...
Hamiltonian fieldtheory is the field-theoretic analogue to classical Hamiltonian mechanics. It is a formalism in classical fieldtheory alongside Lagrangian...
a relationship between Liouvillefieldtheory on a punctured Riemann surface and a certain four-dimensional SU(2) gauge theory obtained by compactifying...
String fieldtheory (SFT) is a formalism in string theory in which the dynamics of relativistic strings is reformulated in the language of quantum field theory...
theory — Ring theory — Set theory — Shape theory — Small cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm–Liouville theory...
function Möbius inversion formula Divisor function Liouville function Partition function (number theory) Integer partition Bell numbers Landau's function...
is a solution. Oscillation theory was initiated by Jacques Charles François Sturm in his investigations of Sturm–Liouville problems from 1836. There he...
we have the notion of integrability in the Liouville sense. (See the Liouville–Arnold theorem.) Liouville integrability means that there exists a regular...
A theory of everything (TOE), final theory, ultimate theory, unified fieldtheory or master theory is a hypothetical, singular, all-encompassing, coherent...
Journal of Number Theory. 129 (9): 2035–2063. doi:10.1016/j.jnt.2009.03.005. Ponsot, B. Recent progress on LiouvilleFieldTheory (Thesis). arXiv:hep-th/0301193...
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