University of Cambridge > Talks.cam > Quantum Fields and Strings Seminars > Extremal chiral ring states in AdS/CFT are described by free fermions

Extremal chiral ring states in AdS/CFT are described by free fermions

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If you have a question about this talk, please contact Joao Miguel Vieira Gomes.

Half BPS states (operators) in N=4 SYM are famously described by free fermions both at weak and strong coupling. I describe a set of conjectures for a preferred class of states in more general conformal field theories that can be tested in supergravity for when such a free fermion description might arise and some motivation for it applying generally. The states in question belong to the chiral ring of a supersymmetric conformal field theory that extremize an additional U(1) charge for fixed dimension and can be reduced to multi-traces of a composite matrix field, which is equivalent to using Young tableaux (Schur polynomials) as a basis. The main conjecture asserts that if the Young tableaux are orthogonal, then the set of extremal three point functions of traces to order 1/N are determined up to a single constant. The conjecture is extended further by providing an exact norm for the Schur basis and this norm arises from a set of free fermions for a generalized oscillator algebra.

This talk is part of the Quantum Fields and Strings Seminars series.

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