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Table of Contents
Discussion session
Special challenges of QCP
Discussion session
What can AdS/CFT do? What has been achieved?
describes nontrivial fixed points (are they stable? can they be classified?)
allows computations in these fixed points.
allows deformations away from critical points.
geometrises the RG flow.
easily generalised to finite T/mu/B/condensates.
real time linear response very easy.
non equilibrium and nonlinear response.
fermisurface like signatures in fermionic response at finite mu.
superfluid phase transitions.
probe boundaries of hydrodynamic descriptions.
in principle can add a lattice but need to solve PDEs.
What known cond.mat problems might be relevant?
pairing in cuprates.
gapless spin liquids.
deconfined "quarks" at finite charge density.
cold atoms out of equilibrium.
novel quantum Hall phases (magnetic phases in 3d).
SLEs?
critical exponents.
What are the main limitations of AdS/CFT?
"AdS/CFT" should be renamed "string/field" or "gauge/gravity" or "holography".
Restricted to theories with matrix valued fields? large N^2?
Need supersymmetry? (probably not in principle)
intermediate values of the coupling?
What new problems/approaches might AdS/CFT suggest?
thinking without quasiparticles at any intermediate step.
RHIC analogues in condensed matter
what can happen at finite density  exotic phases of matter.
what is entropy?
Special challenges of QCP
(from Sondhi's lecture)
T>0 requires scaling
functions
(rather than just numbers).
Real time response is tough.
Complex actions (Berry phases).
Soft modes.
Nonorder parameter transitions. eg. critical fermions, deconfined criticality, localisation, infinite disorder fixed points.
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Table of Contents
Discussion session
What can AdS/CFT do? What has been achieved?
What known cond.mat problems might be relevant?
What are the main limitations of AdS/CFT?
What new problems/approaches might AdS/CFT suggest?
Special challenges of QCP
(from Sondhi's lecture)