113 citations · 197 across the 9 of their papers we have counts for
9 papers
A perturbative Liouville prescription for the celestial three-gluon amplitude
Grzegorz Biskowski, Franco Ferrari, Marcin R. Piatek +1
We study the celestial three-gluon amplitude in a dilaton background through the Mellin-Liouville formulation proposed by Stieberger, Taylor and Zhu (STZ). The original map contain…
Small- expansion of the DOZZ formula for light operators
Franco Ferrari, Marcin R. Piatek, Artur R. Pietrykowski
We present a systematic small- expansion of the Liouville DOZZ three-point structure constant in the light-operator regime \(α_i=bσ_i\) as \(b\to0\). In this limit, the exact DO…
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…
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…
Interacting Scalar Fields in the Context of Effective Quantum Gravity
Artur R. Pietrykowski
A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, cont…
Gauge Dependence of Gravitational Correction to Running of Gauge Couplings
Artur R. Pietrykowski
Recently an interesting idea has been put forward by Robinson and Wilczek that incorporation of quantized gravity in the framework of abelian and nonabelian gauge theories results…