Found 4 result(s)

19.05.2015 (Tuesday)

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

Regular Seminar David Berenstein (UCSB)

at:
13:30 IC
room B1004
abstract:

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.

12.02.2015 (Thursday)

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

Regular Seminar David Berenstein (UCSB)

at:
14:00 QMW
room G.O. Jones 610
abstract:

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.

31.03.2014 (Monday)

Matrix Dynamics and Black Holes

Exceptional Seminar David Berenstein (UCSB)

at:
14:00 IC
room H503
abstract:

07.11.2007 (Wednesday)

Strings on conifolds from strong coupling

Regular Seminar David Berenstein (University of California, Santa Barbara)

at:
14:00 IC
room 503 Huxley
abstract:

I will talk about a new method of performing a strong coupling expansion for many superconformal field theories in four dimensions, in particular those that are relavant for the AdS/CFT correspondence. I will first explain the methods for the case of N=4 SYM, as well as what calculations can be done (both analytically and numerically) and I will show how they compare with the dual AdS geometry. I will then explain what generalizations are required for other setups and what new field theory calculations can be done with these methods that were not available before.