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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Extremal chiral ring states in AdS/CFT are describ
ed by free fermions - David Berenstein\, UCSB
DTSTART;TZID=Europe/London:20150115T130000
DTEND;TZID=Europe/London:20150115T140000
UID:TALK57208AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/57208
DESCRIPTION:Half BPS states (operators) in N=4 SYM are famousl
y described by free fermions both at weak and stro
ng coupling. I describe a set of conjectures for a
preferred class of states in more general conform
al field theories that can be tested in supergrav
ity for when such a free fermion description might
arise and some motivation for it applying general
ly. The states in question belong to the chiral ri
ng of a supersymmetric conformal field theory that
extremize an additional U(1) charge for fixed dim
ension and can be reduced to multi-traces of a com
posite matrix field\, which is equivalent to usin
g Young tableaux (Schur polynomials) as a basis. T
he main conjecture asserts that \nif the Young tab
leaux are orthogonal\, then the set of extremal th
ree point functions of traces to order 1/N are det
ermined up to a single constant. The conjecture is
extended further by providing an exact norm for t
he Schur basis and this norm arises from a set of
free fermions for a generalized oscillator algebra
.
LOCATION:Potter Room (first floor\, Pav. B)
CONTACT:Joao Miguel Vieira Gomes
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