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Interface Conformal Anomalies
Christopher P. Herzog, Kuo-Wei Huang, Dmitri V. Vassilevich
We consider two conformal field theories (CFTs) glued together along a codimension one conformal interface. The conformal anomaly of such a system contains both bulk and…
Emission of photons by quasiparticles in Weyl semimetals
Alexander Andrianov, Roberto Soldati, Dmitri Vassilevich
We show that quasiparticles in Weyl semimetals may decay with emission of a single photon. We study the spectrum of emitted photons and estimate the decay rates.
Atiyah-Patodi-Singer Index Theorem for Domain Walls
A. V. Ivanov, D. V. Vassilevich
We consider the index of a Dirac operator on a compact even dimensional manifold with a domain wall. The latter is defined as a co-dimension one submanifold where the connection ju…
How many surface modes does one see on the boundary of a Dirac material?
Maxim Kurkov, Dmitri Vassilevich
We present full expressions for the surface part of polarization tensor of a Dirac fermion confined in a half-space in dimensions. We compare this tensor to the polarization…