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While a CFT might conceivably exist only on a given Riemann surface, its existence on any surface other than the sphere implies its existence on all surfaces. [1] [2] Given a CFT, it is indeed possible to glue two Riemann surfaces where it exists, and obtain the CFT on the glued surface. [1] [3] On the other hand, some CFTs exist only on the ...
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions , there is an infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified.
The corresponding classical equation of motion is the sinh-Gordon equation. The model can be viewed as a perturbation of Liouville theory. The model's exact S-matrix is known in the weak coupling regime < <, and it is formally invariant under . However, it has been argued that the model itself is not invariant.
For instance, in the three-dimensional example illustrated above, the boundary is a two-dimensional surface. The AdS/CFT correspondence is often described as a "holographic duality" because this relationship between the two theories is similar to the relationship between a three-dimensional object and its image as a hologram. [25]
Despite this, the AdS/CFT correspondence is the most successful realization of the holographic principle, a speculative idea about quantum gravity originally proposed by Gerard 't Hooft, who was expanding on work on black hole thermodynamics, and was improved and promoted in the context of string theory by Leonard Susskind.
CM decomposition has recently been implemented in major electromagnetic simulators, namely in FEKO, [42] CST-MWS, [43] and WIPL-D. [44] Other packages are about to support it soon, for example HFSS [45] and CEM One. [46] In addition, there is a plethora of in-house and academic packages which are capable of evaluating CM and many associated ...
The field equations are amenable to such a generalization, as shown with the inclusion of a one-graviton process, [6] and yield the correct Newtonian limit in d dimensions, but only with a dilaton. Furthermore, some speculate on the view of the apparent resemblance between the dilaton and the Higgs boson . [ 7 ]
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