1k citations · 3.6k across the 92 of their papers we have counts for
93 papers
Heat-Kernel approach to the Atiyah--Singer Index of Non-Hermitian Dirac Operators
João Pedro Breveglieri da Silva, Dmitri Vassilevich
If an operator anticommutes with a chirality operator such that , the null space of can be decomposed in a direct sum of two spaces having positive and negat…
Edge states and the invariant
Rodrigo Fresneda, Lucas de Souza, Dmitri Vassilevich
We propose a relation between the invariant on a manifold with boundary, the invariants of edge states, and the invariant in an infinite volume limit. With the example…
Parity anomaly with impurities and the Pauli--Villars subtraction
Ozório Holanda, René Meyer, Dmitri Vassilevich
We calculate the anomalous part of the polarization tensor of Dirac fermions in dimensions in the presence of impurities described by the scattering rate for arbitrary ex…
Equivalences between 2D dilaton gravities, their asymptotic symmetries, and their holographic duals
Florian Ecker, Daniel Grumiller, Carlos Valcárcel +1
Dilaton gravities in two dimensions can be formulated as particular Poisson sigma models. Target space diffeomorphisms map different models to each other and establish a one-to-one…
Target space diffeomorphisms in Poisson sigma models and asymptotic symmetries in 2D dilaton gravities
Carlos Valcarcel, Dmitri Vassilevich
The dilaton gravity models in two dimensions, including the Jackiw--Teitelboim model and its deformations, are particular cases of Poisson sigma models. Target space diffeomorphism…
Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
A. V. Ivanov, M. A. Kurkov, D. V. Vassilevich
Being motivated by applications to the physics of Weyl semimetals we study spectral geometry of Dirac operator with an abelian gauge field and an axial vector field. We impose chir…