Gravity Dual of Two-Dimensional N=(2,2)∗\mathcal{N} = (2,2)^* Supersymmetric Yang-Mills Theory and Integrable Models

The 2D $\mathcal{N}=(2,2)^*$ supersymmetric Yang-Mills theory can be obtained from the 2D $\mathcal{N}=(4,4)$ theory with a twisted mass deformation. In this paper we construct the gravity dual theory of the 2D $\mathcal{N}=(2,2)^*$ supersymmetric $U(N)$ Yang-Mills theory at the large $N$ and large 't Hooft coupling limit using the 5D gauged supergravity. In the UV regime, this construction also provides the gravity dual of the 2D $\mathcal{N}=(2,2)^*$ $U(N)$ topological Yang-Mills-Higgs theory. We propose a triality in the UV regime among integrable model, gauge theory and gravity, and we make some checks of this relation at classical level.Comment: 49 pages, 3 figures; V2: typos corrected, more discussions adde

Jet Tomography of Quark Gluon Plasma

Recent experimental measurements of high $p_T$ hadron spectra and jet correlation at RHIC are analyzed within a parton model which incoporates initial jet production and final propagation in heavy-ion collisions. The suppresion of single hadron spectra, back-to-back correlation, their centrality dependence and azimuthal anisotropy point to a dense matter with an initial parton density about 30 times of that in a cold heavy nucleus.Comment: 7 pages in RevTex, 4 figures. Invited talk at Confinement 2003-International Symposium on ``Color Confinement and Hadrons in Quantum Chromodynamics", RIKEN, Japan, July 21-24, 2003 and XXIV Brazilian Meeting of Particle and Field Physics, Caxambu, Brazil, Oct. 1-3, 200

Particle Production in High-energy Heavy-ion Collisions

Particle production mechanisms in high-energy heavy-ion collisions are reviewed in connection with recent experimental data from RHIC. Implications on mini-jet production, parton saturation and jet quenching are discussed.Comment: 14 pages, 5 figures in eps, talk given at XXXI International Symposium on Multiparticle Dynamics, Sept 1-7, 2001, Datong China. URL http://ismd31.ccnu.edu.cn

Monte Carlo Models: Quo Vadimus?

Coherence, multiple scattering and the interplay between soft and hard processes are discussed. These physics phenomena are essential for understanding the nuclear dependences of rapidity density and $p_T$ spectra in high-energy heavy-ion collisions. The RHIC data have shown the onset of hard processes and indications of high $p_T$ spectra suppression due to parton energy loss. Within the pQCD parton model, the combination of azimuthal anisotropy ($v_2$) and hadron spectra suppression at large $p_T$ can help one to determine the initial gluon density in heavy-ion collisions at RHIC.Comment: 10 Pages with 8 figures, Plenary talk at 15th International Conference on Ultrarelativistic Nucleus-Nucleus Collisions (QM2001), Stony Brook, New York, 15-20 Jan 200