スピーカー:松戸 竜太郎 (KEK) 

タイトル:Boundary condition and reflection anomaly in 2+1 dimensions

アブストラクト:
It is known that the (2+1)d single Majorana fermion theory has an anomaly
of the reflection and it is cancelled when we combine 16 copies of the
theory. Therefore, it is expected that the reflection symmetric boundary
condition is impossible for one Majorana fermion, but possible for 16
Majorana fermions. In this talk, we consider a reflection symmetric
boundary condition, which varies at a point, and find that there is a
problem for one Majorana fermion. The problem is the absence of the
corresponding outgoing wave to a specific incoming wave into the boundary,
which leads the non-conservation of the energy. When we introduce 16
Majorana fermions, we can additionally impose a condition at the point
where the boundary condition varies so that there is an outgoing wave
corresponding to each incoming wave while preserving the reflection
symmetry. In addition, we discuss the connection with the fermion-monopole
scattering in 3+1 dimensions.