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In theoretical physics, the anti-de Sitter/conformal field theory correspondence (frequently abbreviated as AdS/CFT) is a conjectured relationship between two kinds of physical theories. On one side are anti-de Sitter spaces (AdS) that are used in theories of quantum gravity , formulated in terms of string theory or M-theory .
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Conformal may refer to: Conformal (software), in ASIC Software; Conformal coating in electronics; Conformal cooling channel, in injection or blow moulding; Conformal field theory in physics, such as: Boundary conformal field theory; Coset conformal field theory; Logarithmic conformal field theory; Rational conformal field theory
Massless free scalar bosons are a family of two-dimensional conformal field theories, whose symmetry is described by an abelian affine Lie algebra. Since they are free i.e. non-interacting, free bosonic CFTs are easily solved exactly. Via the Coulomb gas formalism, they lead to exact results in interacting CFTs such as minimal models.
We say that ~ is (pointwise) conformal to . Evidently, conformality of metrics is an equivalence relation. Evidently, conformality of metrics is an equivalence relation. Here are some formulas for conformal changes in tensors associated with the metric.
Alternatively any conformal linear transformation can be represented as a versor (geometric product of vectors); [1] every versor and its negative represent the same transformation, so the versor group (also called the Lipschitz group) is a double cover of the conformal orthogonal group.
In December 2020, the second edition of PDF 2.0, ISO 32000-2:2020, was published, with clarifications, corrections, and critical updates to normative references [16] (ISO 32000-2 does not include any proprietary technologies as normative references). [17] In April 2023 the PDF Association made ISO 32000-2 available for download free of charge. [15]
An equivalence class of such metrics is known as a conformal metric or conformal class. Thus, a conformal metric may be regarded as a metric that is only defined "up to scale". Often conformal metrics are treated by selecting a metric in the conformal class, and applying only "conformally invariant" constructions to the chosen metric.