133 citations · 1.5k across the 54 of their papers we have counts for
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First-order formalism for functions in bosonic sigma models from supersymmetry breaking
Oleksandr Gamayun, Andrei Losev, Mikhail Shifman
We consider the renormalization group flow equation for the two-dimensional sigma models with the Kähler target space. The first-order formulation allows us to treat perturbations…
Peculiarities of beta functions in sigma models
Oleksandr Gamayun, Andrei Losev, Mikhail Shifman
In this paper we consider perturbation theory in generic two-dimensional sigma models in the so-called first-order formalism, using the coordinate regularization approach. Our goal…
How instanton combinatorics solves Painlevé VI, V and III's
O. Gamayun, N. Iorgov, O. Lisovyy
We elaborate on a recently conjectured relation of Painlevé transcendents and 2D CFT. General solutions of Painlevé VI, V and III are expressed in terms of conformal blocks a…
Conformal field theory of Painlevé VI
O. Gamayun, N. Iorgov, O. Lisovyy
Generic Painlevé VI tau function τ(t) can be interpreted as four-point correlator of primary fields of arbitrary dimensions in 2D CFT with c=1. Using AGT combinatorial representati…
First Order String Theory and the Kodaira-Spencer Equations. II
O. Gamayun, A. Marshakov
The first-order bosonic string theory, perturbed by primary operator, corresponding to the deformation of target-space complex structure is considered. We compute the correlation f…
First Order String Theory and the Kodaira-Spencer Equations. I
O. Gamayun, A. S. Losev, A. Marshakov
We consider first-order bosonic string theory, perturbed by the primary operator, corresponding to deformation of the target-space complex structure. We compute the effective actio…