What is conformal symmetry physically?
Answers
Answered by
0
Hey dear here is your answer
a physical system is said to have conformal symmetry if it is invariant underconformal transformations.conformal transformations are local re-scalings of one's coordinates that amount to a Weyl transformation of the background metric.
Hope it's help you
Answered by
0
What is conformal symmetry?
Answer-:
In physics, a physical system is said to have conformal symmetry if it is invariant under conformal transformations. conformal transformations are local re-scalings of one’s coordinates that amount to a Weyl transformation of the background metric.
Specifically, a conformal transformation is one for which the local change of coordinates,
x —> x’ = x + a(x)
(where a(x) is some function of the coordinates x (x is short-hand for multiple coordinates, here).)) changes the metric by by a Weyl re-scaling,
g(x) —> g’(x’) = Exp[W(x’)] g (x’)
With so-called conformal factor W(x’).
➡️In 2-dimensions, the group of conformal t➡️ransformatio is infinite dimensional.
➡️ This means that the physics of a 2-dimensional conformal theory is very highly constrained, often making the elucidation of highly interesting salient features much easier than in the case of more than 2-dimensional theories, where the conformal group has finite dimension.
➡️Evidently, the study of 2-dimensional conformal field theories is of great interest to the physics community.
Answer-:
In physics, a physical system is said to have conformal symmetry if it is invariant under conformal transformations. conformal transformations are local re-scalings of one’s coordinates that amount to a Weyl transformation of the background metric.
Specifically, a conformal transformation is one for which the local change of coordinates,
x —> x’ = x + a(x)
(where a(x) is some function of the coordinates x (x is short-hand for multiple coordinates, here).)) changes the metric by by a Weyl re-scaling,
g(x) —> g’(x’) = Exp[W(x’)] g (x’)
With so-called conformal factor W(x’).
➡️In 2-dimensions, the group of conformal t➡️ransformatio is infinite dimensional.
➡️ This means that the physics of a 2-dimensional conformal theory is very highly constrained, often making the elucidation of highly interesting salient features much easier than in the case of more than 2-dimensional theories, where the conformal group has finite dimension.
➡️Evidently, the study of 2-dimensional conformal field theories is of great interest to the physics community.
Similar questions