48 citations · 67 across the 3 of their papers we have counts for
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Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus
Marco Matone, Paolo Pasti, Sergey Shadchin +1
We show that the solitonic contribution of compactified strings corresponds to the quantum statistical partition function of a free particle living on higher dimensional spaces. In…
Status Report on the Instanton Counting
Sergey Shadchin
The non-perturbative behavior of the N=2 supersymmetric Yang-Mills theories is both highly non-trivial and tractable. In the last three years the valuable progress was achieved in…
Cubic curves from instanton counting
Sergey Shadchin
We investigate the possibility to extract Seiberg-Witten curves from the formal series for the prepotential, which was obtained by the Nekrasov approach. A method for models whose…
On certain aspects of string theory/gauge theory correspondence
Sergey Shadchin
N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that is, for SU(N), SO(N), and Sp(N) is considered. The formal expression for almost all models accepted by t…
Saddle point equations in Seiberg-Witten theory
Sergey Shadchin
N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that is, for SU(N), SO(N), and Sp(N) is considered. The equations which define the Seiberg-Witten curve are p…
ABCD of instantons
Nikita Nekrasov, Sergey Shadchin
We solve N=2 supersymmetric Yang-Mills theories for arbitrary classical gauge group, i.e. SU(N), SO(N), Sp(N). In particular, we derive the prepotential of the low-energy effective…