Debajyoti Sarkar from Institute for Theoretical Physics, Albert Einstein Center, Bern University visited Chennai recently. We hope he enjoyed his stay here.
We certainly enjoyed his talks. Debajyoti gave three different talks in the three institutes, the slides of which he has kindly made available.
Debajyoti’s first talk was in IITM. In this talk Debajyoti described a proposal made by him and his collaborators of a new entry to the holographic dictionary. The two sides of this new entry are the Fisher information metric on the boundary (an important object in information geometry, also closely related to relative entropy) and ‘holographic regulated volume’ on the bulk side. Here are the slides for this talk which has all the details on this proposal.
The second talk Debajyoti gave was in IMSc and it was about reconstructing the bulk metric from the boundary CFT. Kabat and Lyfshitz had shown how to reconstruct a bulk scalar field using the modular Hamiltonian. Taking that as their starting point, Debajyoti and his collaborator Shubho Roy have shown how to recover the AdS metric. The details are in these slides.
In his last talk in Chennai, Debajyoti told the audience in CMI about how black hole solutions can get modified when quantum corrections are considered. The starting point was the quantum effective action that one gets by starting with a conformally coupled matter field and then integrating it out. This effective action can be obtained from the conformal anomaly. Debajyoti showed that the equations of motion one obtains from this effective action do not admit a solution with a horizon. Therefore black hole geometries seem to get modified to wormhole geometries when quantum corrections are considered. His slides make these ideas concrete.
THE Physics Community of Chennai 