Various holographic approaches to QCD in five dimensions are explored using input both from the perturbative five-dimensional non-critical string theory as well as QCD. It is argued that a gravity theory in five dimensions coupled to a dilaton and an axion may capture the important qualitative features of pure YM theory. A part of the effects of higher a'-corrections is resummed into a dilaton potential. The potential is shown to be in one-to-one correspondence with the exact beta-function of QCD, and its knowledge determines the full structure of the vacuum solution. The geometry near the UV boundary is that of AdS5 with logarithmic corrections reflecting the asymptotic freedom of QCD. The IR confining geometries are classified and analyzed. Near the singularity the 't Hooft coupling is driven to infinity. The glueball spectra are gapped and discrete, and they favorably compare to the lattice data. Quite generally, confinement and discrete spectra imply each other. Asymptotically linear glueball masses can also be achieved. Asymptotic mass ratios of various glueballs with different spin also turn out to be universal. Meson dynamics is implemented via space filling D4-anti D4 brane pairs. The associated tachyon dynamics is analyzed and chiral symmetry breaking is shown. The dynamics of the RR axion is analyzed, and the non-perturbative running of the QCD theta-angle is obtained. It is shown to always vanish in the IR. The finite temperature structure is also analyzed and phase diagram is studied. Our preliminary results show a first order deconfining transition to a QGP phase with a transition temperature in agreement with lattice data.

I will discuss several constructions of superalgebras associated to the Killing spinors of a supergravity background, with special emphasis on the ten- and eleven-dimensional supergravities.

This is the first of three lectures: see the Graduate Program webpage at http://www.strings.ph.qmw.ac.uk/ for more information.

The spin chain analogy of the problem of computing conformal dimensions of compostie operators in N=4 super Yang-Mills theory and the idea that the theory and its string dual could be integrable and could perhaps be solved by a Bethe ansatz has attracted a lot of attention. The present view is that this should be done in two steps. First one must solve the asymptotic Bethe ansatz which should obtain the spectrum of infinitely large operators where the problem simplifies considerably, being posed as scattering of magnons with a factorized S-matrix. Subsequently a thermodynamic Bethe ansatz should be used to find the spectrum of finite size operators. An interesting window onto finite size effects is the giant magnon, the string dual of the spin chain magnon. The seminar will discuss the giant magnon solution of string theory and attempts to interpret its finite size effects as the spectrum of a single magnon on an orbifolded version of N=4 Yang-Mills theory with reduced supersymmetry.

Please see the Graduate Program web page at http://www.strings.ph.qmw.ac.uk/ for more details.