Applications Conformal symmetry

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1 applications

1.1 conformal field theory
1.2 second-order phase transitions
1.3 high-energy physics





applications
conformal field theory

the largest possible global symmetry group of non-supersymmetric interacting field theory direct product of conformal group internal group. such theories known conformal field theories.



second-order phase transitions

one particular application critical phenomena in systems local interactions. fluctuations in such systems conformally invariant @ critical point. allows classification of universality classes of phase transitions in terms of conformal field theories



conformal invariance present in two-dimensional turbulence @ high reynolds number.


high-energy physics

many theories studied in high-energy physics admit conformal symmetry. famous example n=4 supersymmetric yang-mills theory. also, worldsheet in string theory described two-dimensional conformal field theory coupled two-dimensional gravity.









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