56 citations · 193 across the 14 of their papers we have counts for
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Analytic conformal bootstrap and Virasoro primary fields in the Ashkin-Teller model
Nikita Nemkov, Sylvain Ribault
We revisit the critical two-dimensional Ashkin-Teller model, i.e. the orbifold of the compactified free boson CFT at . We solve the model on the plane by comput…
Analytic properties of the Virasoro modular kernel
Nikita Nemkov
On the space of generic conformal blocks the modular transformation of the underlying surface is realized as a linear integral transformation. We show that the analytic properties…
On new exact conformal blocks and Nekrasov functions
Nikita Nemkov
Recently, an intriguing family of the one-point toric conformal blocks AGT related to the Nekrasov functions was discovered by M. Beccaria and G. Macori…
On modular transformations of non-degenerate toric conformal blocks
Nikita Nemkov
We derive and solve the difference equations on the toric modular kernel following from the consistency relations in the fusion algebra. The result is explicit and simple series ex…
On fusion kernel in Liouville theory
Nikita Nemkov
We study fusion kernel for non-degenerate conformal blocks in Liouville theory as a solution to the difference equations originating from the pentagon identity. We suggest an appro…
S-duality as Fourier transform for arbitrary
N. Nemkov
The AGT relations reduce S-duality to the modular transformations of conformal blocks. It was recently conjectured that for the four-point conformal block the modular transform up…