Research in HEP
01
One of the most important recent idea in high energy physics is the Gauge/Gravity duality or AdS/CFT. It connects a theory with gravity in d+1 dimension to a boundary d-dimensional theory without gravity. This idea first introduced by Juan Maldacena led to so many exciting lines of research. One could try to extend this duality to various other gravity and CFT theories (see my thesis arXiv:1609.04168). Also, the dictionary could be constructed for each geometric quantity in the bulk and a quantum information quantity in the boundary, where two of the main quantities that have been studied where entanglement entropy and computational complexity. Even several phenomena in condensed matter physics could be studied through the higher dimension gravity theory. In my paper arXiv:1404.5399, I applied AdS/CFT to study strange metals, in arXiv:1506.08557, I used it to study QCD and also the connections between Schwinger pair creation rates and entanglement entropy. In arXiv:1601.04403, I studied Warped AdS/Warped CFTs and also used it to study Hawking-Page phase transitions in black holes and then in arXiv:1606.04353, to study the conserved charges.
02
After establishing the connections between Ryu-Takayanagi surfaces in the bulk and entanglement entropy in the boundary CFTs, a new quantity called computational complexity has been introduced which conjectured to be dual to the volume of the black hole or action on the Wheeler-DeWitt patch. In my work arXiv:1708.07981, I studied the effects of Chirality or parity-violations on this quantity using holography and also its connection to other thermodynamic quantities such as entropy. In arXiv:1808.08164, I studied its growth rate in various QCD models. In arXiv:1902.02475, I introduced (volume) purification complexity and studied its connection to entanglement of purification. In arXiv:1907.08453, we studied evolution of complexity in quenched systems, and then in arXiv:1911.03819, I studied holographic complexity, tensor networks and emergence of spacetime in Warped AdS/Warped CFT systems.
03
In arXiv:1911.03819, I started to specifically concentrate on the mechanisms of emergence of spacetimes out of structures of information of the dual boundary theory, and then in arXiv:2003.04412, we tried to connect the curvature invariant quantities of the bulk systems to chaotic properties of the boundary CFTs. In the next projects, other ideas such as Petz map and modular Hamiltonians would be used to study the mechanisms of spacetime emergence out of information.
