Conformal Bootstrap: OPE and Ward Identities

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Covers the quantization of topological operators and Ising models on square lattices.

Covers conformal blocks and their significance in complex structures and moduli spaces.

Explores Operator Product Expansion (OPE) and its role in Conformal Bootstrap.

Explores linear operators, boundedness, and vector spaces with a focus on verifying bounded aspects.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers the study of free particle quantum mechanics in AdS and the State-Operator Correspondence in AdS.

Covers the applications of Segal's Conformal Field Theory in Hilbert spaces.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Covers radial quantization and inner products in quantum field theory.

Introduces the need for a mathematical framework to describe linear operators on infinite-dimensional Hilbert spaces in quantum mechanics.