• Complexity and Entanglement: From quantum gravity to many-body systems 

      Nandy, Pratik
      In recent years, complexity and entanglement have emerged as two fundamental computational measures and played a significant role in shaping our understanding of various phenomena, from the geometric nature of quantum ...
    • Conformal Bootstrap : Old and New 

      Kaviraj, Apratim (2018-05-25)
      Conformal Field Theories (CFT) are Quantum Field Theories characterized by enhanced (conformal) symmetries. They are interesting to Theoretical Physicists because they occur at critical points in phase transitions of various ...
    • Explorations in the Space of S-Matrices 

      Haldar, Parthiv
      S-matrix is one of the fundamental observables of the quantum theory of relativistic particles. The quantum dynamics of relativistic particles can be abstractly understood in terms of S-matrix bypassing a Lagrangian ...
    • Lessons for Conformal Field Theories from Bootstrap and Holography 

      Sen, Kallo (2018-02-06)
      The work done in this thesis includes an exploration of both the conformal field theory techniques and holographic techniques of the Gauge/Gravity duality. From the field theory, we have analyzed the analytical aspects of ...
    • Lessons for Gravity from Entanglement 

      Bhattacharyya, Arpan
      One of the recent fundamental developments in theoretical high energy physics is the AdS/CFT correspondence [1, 2, 3, 4] which posits a relationship between Quantum Field Theories (QFT) in a given dimension and String ...
    • New tools to constrain EFTs and CFTs 

      Zahed, Ahmadullah
      In this thesis, we develop new methods for the S matrix bootstrap in the context of 2-2 scattering amplitudes and four-point correlators in conformal field theories (CFTs). For 2-2 scattering in quantum field theories, ...
    • Understanding Conformal Field Theory in Mellin Space 

      Ghosh, Kausik
      In the last decade, there has been tremendous progress in understanding conformal eld theories in more than two space-time dimensions. The numerical bootstrap framework has been pushed to a very advanced level of ...