17 citations · 41 across the 6 of their papers we have counts for
6 papers
Congruence for lattice path models with filter restrictions and long steps
Dmitry Solovyev
We derive a path counting formula for two-dimensional lattice path model with filter restrictions in the presence of long steps, source and target points of which are situated near…
On string functions and double-sum formulas
Eric T. Mortenson, Olga Postnova, Dmitry Solovyev
String functions are important building blocks of characters of integrable highest modules over affine Kac--Moody algebras. Kac and Peterson computed string functions for affine Li…
Counting filter restricted paths in lattice
Olga Postnova, Dmitry Solovyev
We derive a path counting formula for two-dimensional lattice path model on a plane with filter restrictions. A filter is a line that restricts the path passing it to one of possib…
Modifications of gravity via differential transformations of field variables
A. A. Sheykin, D. P. Solovyev, V. V. Sukhanov +1
We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFT) to a known theory. We begin with some s…
Zero modes of local operators in 2d CFT on a cylinder
Anatoly Dymarsky, Kirill Pavlenko, Dmitry Solovyev
Studies of Eigenstate Thermalization Hypothesis (ETH) in two-dimensional CFTs call for calculation of the expectation values of local operators in highly excited energy eigenstates…
Global embeddings of BTZ and Schwarzschild-AdS type black holes in a flat space
A. A. Sheykin, D. P. Solovyev, S. A. Paston
We study the problem of construction of global isometric embedding for spherically symmetric black holes with negative cosmological constant in various dimensions. Firstly, we show…