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SUMMARY:Extremal chiral ring states in AdS/CFT are described by free fermi
 ons - David Berenstein\, UCSB
DTSTART:20150115T130000Z
DTEND:20150115T140000Z
UID:TALK57208@talks.cam.ac.uk
CONTACT:Joao Miguel Vieira Gomes
DESCRIPTION: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 con
 jectures for a preferred class of states in more general conformal field t
 heories  that can be tested in supergravity for when such a free fermion d
 escription 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 m
 ain conjecture asserts that \nif the Young tableaux are orthogonal\, then 
 the set of extremal three point functions of traces to order 1/N are deter
 mined up to a single constant. The conjecture is extended further by provi
 ding an exact norm for the Schur basis and this norm arises from a set of 
 free fermions for a generalized oscillator algebra.  
LOCATION:Potter Room (first floor\, Pav. B)
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