Hessamaddin Arfaei

    

Gauge/Gravity Duality

 
 
Instructors: Prof. Arfaei, Dr. Abbasi, Dr. Faraji, Dr. Naseh

Class Times: Sundays 15:00-17:00 , Tuesdays 17:00-19:00

Place : Physics Department- Room 513


References

• Horatu Nastase- Introduction to the AdS_CFT Correspondence -Cambridge University Press (2015)
• Casalderrey-Solana J., et al.-Gauge-String Duality, Hot QCD and Heavy Ion Collisions-Cambridge University Press (2014)
• Introduction to Gauge/Gravity Duality Lecture 1, by Nick Halmagyi
• Anti De Sitter Space And Holography, by Edward Witten, arXiv:hep-th/9802150v2
• Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories, by Edward Witten, https://arxiv.org/abs/hep-th/9803131
• Anti-de-Sitter spacetime and its uses, by G.W. Gibbons, arXiv:1110.1206v1
• Gauge/gravity duality, by Gary T. Horowitz, Joseph Polchinski, arXiv:gr-qc/0602037v3
• Gauge/String Duality, Hot QCD and Heavy Ion Collisions, by Jorge Casalderrey-Solana,et al., arXiv:1101.0618v2
• Conceptual Aspects of Gauge/Gravity Duality, by Sebastian De Haro,et al., arXiv:1509.09231v2
• Holographic duality with a view toward many-body physics, by John McGreevy, arXiv:0909.0518v3
• Holographic Entanglement Entropy, by Mukund Rangamani, Tadashi Takayanagi, arXiv:1609.01287v2
• Introduction to Gauge/Gravity Duality, by Joseph Polchinski, arXiv:1010.6134v1
• Introduction to the AdS/CFT correspondence, by Alfonso V. Ramallo, arXiv:1310.4319v3
• Large N Field Theories, String Theory and Gravity, by O. Aharony,et al., arXiv:hep-th/9905111v3
• Lecture Notes on Holographic Renormalization, by Kostas Skenderis,arXiv:hep-th/0209067v2
• Lectures on Conformal Field Theory, by Joshua D. Qualls,arXiv:1511.04074v2
• TASI 2003 Lectures on AdS/CFT,by Juan M. Maldacena,arXiv:hep-th/0309246v5
• TASI Lectures on AdS/CFT,by Joao Penedones,arXiv:1608.04948v1

Syllabus

      Part 1  (4 weeks)

• General background  (1 lecture)
  
• CFT in 2 and higher dimensions  (3 lectures)
              Lectures on Conformal Field Theory, by Joshua D. Qualls (lecture2: pages 22-43)
  
• AdS geometry and AdS blackholes  (3 lectures)
              Large N Field Theories, String Theory and Gravity, by O. Aharony,et al. (Section2.2 Anti-de Sitter Space)
  
• Brane theory  (2 lectures)
  
  

      Part 2  (5 weeks)

• Maldacena's conjecture  (3 lectures by Dr. Naseh)
  
• Witten's version and prescription  (3 lectures by Dr. Naseh)
  
• Holography  (2 lectures by Dr. Naseh)
  
• Holographic RG  (2 lectures by Dr. Faraji)
  
  

      Part 3: Applications  (7 weeks)

• Correlations, transport coefficients  (3 lectures by Dr. Abbasi)
  
• AdS-QCD  (3 lectures by Dr. Abbasi)
  
• AdS-conmat, AdS-FG  (3 lectures by Dr. Abbasi)
  
• Entaglement Entropy, Complecity, ...  (4 lectures by Dr. Faraji)
  
• Tensor network, a very short introduction  (1 or 2 lectures)