52 citations · 238 across the 13 of their papers we have counts for
13 papers
Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models
M. R. Piatek, R. G. Nazmitdinov, A. Puente +1
Virasoro conformal blocks are universal ingredients of correlation functions of two-dimensional conformal field theories (2d CFTs) with Virasoro symmetry. It is acknowledged that i…
Solving Heun's equation using conformal blocks
Marcin Piatek, Artur R. Pietrykowski
It is known that the classical limit of the second order BPZ null vector decoupling equation for the simplest two 5-point degenerate spherical conformal blocks yields: (i) the norm…
Classical irregular blocks, Hill's equation and PT-symmetric periodic complex potentials
Marcin Piatek, Artur R. Pietrykowski
The Schroedinger eigenvalue problems for the Whittaker-Hill potential and the periodic complex potential $Q_{1}(x)=\tfrac{1}{4}h^2{\rm e…
Classical limit of irregular blocks and Mathieu functions
Marcin Piatek, Artur R. Pietrykowski
The Nekrasov-Shatashvili limit of the N=2 SU(2) pure gauge (Omega-deformed) super Yang-Mills theory encodes the information about the spectrum of the Mathieu operator. On the other…
A Topological Field Theory for the triple Milnor linking coefficient
Franco Ferrari, Marcin R. Piatek, Yani Zhao
The subject of this work is a three-dimensional topological field theory with a non-semisimple group of gauge symmetry with observables consisting in the holonomies of connections…
Classical irregular block, N=2 pure gauge theory and Mathieu equation
Marcin Piatek, Artur R. Pietrykowski
Combining the semiclassical/Nekrasov-Shatashvili limit of the AGT conjecture and the Bethe/gauge correspondence results in a triple correspondence which identifies classical confor…