Abstract: In 1+1 dimensional conformal field theory with a boundary, the boundary contribution to the entanglement entropy is encoded in a single number g, effectively counting the boundary degrees of freedom. In contrast, for interface CFTs the corresponding quantity is a non-trivial function depending on the position of the interval relative to the interface, giving access to much more detailed information about the defect. In this talk, I will present several holographic examples illustrating the structure of this g-function and discuss the limit in which the entangling interval approaches the interface, relating it to the effective central charge. I will conclude with a discussion of entanglement phase transitions associated to bipartite entanglement in a variety of holographic interfaces.

This seminar is part of the "Holography in the Gravitational Wave Era” (HOLOGW) project (with grant agreement number 101141909) funded by the European Union / ERC: