Biography
Jani Kastikainen is a graduate student of theoretical physics working on high energy physics.
Research interests
- Classical and quantum aspects of gravity
- Conformal field theory
- Entanglement in quantum many-body systems
My research interests
Classical and quantum aspects of gravity
All known forces of nature have been understood quantum mechanically, but not gravity.
- The AdS/CFT correspondence
- String theory
- Topological theories of gravity (such as 3D gravity)
Picture of AdS space with holographic duality equation involving a correlator.
Conformal field theory
Relativistic quantum field theories symmetric under conformal transformations are called conformal field theories. They appear as universal descriptions of quantum many-body systems near a critical point and as dual descriptions of quantum gravity in the AdS/CFT correspondence. I’m interested in CFTs as useful
- Applications of quantum information theory to CFTs
- Universal aspects of two-dimensional CFTs
- Field theories with boundaries (BCFTs) and their holographic descriptions
The equation for the Weyl anomaly?
Path integral?
Picture of a torus?
Relative entropy equation?
Or some equation from the BCFT paper? (add reference to the paper)
Entanglement in quantum many-body systems
An unintuitive feature of nature is entanglement which is behind the famous spooky action at a distance as said by Einstein.
- One-dimensional quantum systems such as spin-chains
- Quantum thermodynamics
Jordan-Wigner transformation?