108 citations · 183 across the 7 of their papers we have counts for
6 papers
RNS superstring measure for genus 3
Petr Dunin-Barkowski, Igor Fedorov, Alexey Sleptsov
We propose a new formula for the RNS supersting measure for genus 3. Our derivation is based on invariant theory. We follow Witten's idea of using an algebraic parametrization of t…
NSR superstring measures in genus 5
Petr Dunin-Barkowski, Alexey Sleptsov, Abel Stern
Currently there are two proposed ansatze for NSR superstring measures: the Grushevsky ansatz and the OPSMY ansatz, which for genera g<=4 are known to coincide. However, neither the…
Kontsevich integral for knots and Vassiliev invariants
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
We review quantum field theory approach to the knot theory. Using holomorphic gauge we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coe…
Explicit computation of Drinfeld associator in the case of the fundamental representation of gl(N)
Petr Dunin-Barkowski, Alexey Sleptsov, Andrey Smirnov
We solve the regularized Knizhnik-Zamolodchikov equation and find an explicit expression for the Drinfeld associator. We restrict to the case of the fundamental representation of $…
Superpolynomials for toric knots from evolution induced by cut-and-join operators
P. Dunin-Barkowski, A. Mironov, A. Morozov +2
The colored HOMFLY polynomials, which describe Wilson loop averages in Chern-Simons theory, possess an especially simple representation for torus knots, which begins from quantum R…
Lattice Theta Constants vs Riemann Theta Constants and NSR Superstring Measures
P. Dunin-Barkowski, A. Morozov, A. Sleptsov
We discuss relations between two different representations of hypothetical holomorphic NSR measures, based on two different ways of constructing the semi-modular forms of weight 8.…