July 7th -Tuesday- 12:30

"Life at the boundary and novel physics"

T.R. Govindarajan (The Institute of Mathematical Sciences Chenai, India)

We investigate the properties of the Dirac operator on manifolds with boundaries in presence of the Atiyah-Patodi-Singer boundary condition. An exact counting of the number of edge states for boundaries with isometry of a sphere is given. We prove equivalence to Dirac delta function potential. These edge states can be compared with horizon states of black holes and edge states of quantum hall effect. We also consider questions of stability and time dependent boundaries.

Facultad de Ciencias

Seminario de Física Teórica

Universidad de Zaragoza