Speaker
Description
Conserved charges of the $AdS_{5} ×S^{5}$ spacetime are encoded into irreducible representations (irreps) of $U(N)$ super Yang-Mills gauge theory through AdS/CFT, and through Schur-Weyl duality, into symmetric polynomials evaluated on irreps of the symmetric group $S_{n}$. A conjecture exists regarding the maximum number of conserved charges an observer needs to measure in order to distinguish between the irreps. In a previous work, the problem was formulated in terms of power sum polynomials and evidence was presented supporting the conjecture. In this work, we rephrase the problem in terms of the elementary symmetric polynomials. We show that this rephrasing reproduces the same evidence for the conjecture and allows for non-trivial additional evidence for it.
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