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19 papers · 1 filter
Algebraic approach to form factors in the complex sinh-Gordon theory
Michael Lashkevich, Yaroslav Pugai
We study form factors of the quantum complex sinh-Gordon theory in the algebraic approach. In the case of exponential fields the form factors can be obtained from the known form fa…
On rectangular HOMFLY for twist knots
Ya. Kononov, A. Morozov
As a new step in the study of rectangularly-colored knot polynomials, we reformulate the prescription of arXiv:1606.06015 for twist knots in the double-column representations $R=[r…
The Ergodic Decomposition of Infinite Pickrell Measures III. The infinite Bessel process as the limit of radial parts of finite-dimensional projections of infinite Pickrell measures
Alexander I. Bufetov
The third part of the paper concludes the proof of the main result --- the description of the ergodic decomposition of infinite Pickrell measures. First it is shown that the scalin…
Infinite Determinantal Measures and The Ergodic Decomposition of Infinite Pickrell Measures II. Convergence of determinantal measures
Alexander I. Bufetov
The second part of the paper mainly deals with convergence of infinite determinantal measures, understood as the convergence of the approximating finite determinantal measures. In…
On the construction of the correlation numbers in Minimal Liouville Gravity
Konstantin Aleshkin, Vladimir Belavin
The computation of the correlation numbers in Minimal Liouville Gravity involves an integration over moduli spaces of complex curves. There are two independent approaches to the ca…
Second level semi-degenerate fields in W3 Toda theory: matrix element and differential equation
Vladimir Belavin, Xiangyu Cao, Benoit Estienne +1
In a recent study we considered W3 Toda 4-point functions that involve matrix elements of a primary field with the highest-weight in the adjoint representation of sl3. We generaliz…