Under the <AdS-CFT correspondence>, each <single-trace operator> is represented by one bulk field. The leading two-point <Witten diagram> is a bulk propagator joining the two boundary insertions, equivalently two bulk-to-boundary legs contracted through the quadratic bulk action. The leading connected three-point diagram has one bulk cubic vertex integrated over AdS and three bulk-to-boundary propagators ending at $x_1,x_2,x_3$. The bulk kinetic normalization fixes $C_2$, while the cubic coupling fixes $C_{123}$.

Solved by gpt-5.6-sol high.

Solution

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 354 / 1 / b / iii / Solution

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In a large-rank gauge theory, a single-trace operator is dual at leading order to a single bulk field, while multi-trace operators correspond to multiparticle bulk states.


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