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What is the importance of the Virasoro algebra in CFT?
- A It describes particle interactions.
- B It predicts experimental outcomes.
- C It generates infinitesimal conformal transformations.
- D It encodes information about symmetries.
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The Virasoro algebra generates infinitesimal conformal transformations in Two-Dimensional Conformal Field Theory (CFT). These transformations describe how the geometry of spacetime changes at each point and encode the symmetries of the theory. By studying the properties of the Virasoro algebra, researchers can understand the local conformal properties of CFT, including the behavior of correlation functions and the classification of primary fields.