Riemann-Hilbert correspondence and blown up surface defects

Saebyeok Jeong, Nikita Nekrasov

Результат исследований: Вклад в журналСтатьярецензирование

13 Цитирования (Scopus)


The relationship of two dimensional quantum field theory and isomonodromic deformations of Fuchsian systems has a long history. Recently four-dimensional N = 2 gauge theories joined the party in a multitude of roles. In this paper we study the vacuum expectation values of intersecting half-BPS surface defects in SU(2) theory with Nf = 4 fundamental hypermultiplets. We show they form a horizontal section of a Fuchsian system on a sphere with 5 regular singularities, calculate the monodromy, and define the associated isomonodromic tau-function. Using the blowup formula in the presence of half-BPS surface defects, initiated in the companion paper, we obtain the GIL formula, establishing an unexpected relation of the topological string/free fermion regime of supersymmetric gauge theory to classical integrability.

Язык оригиналаАнглийский
Номер статьи6
ЖурналJournal of High Energy Physics
Номер выпуска12
СостояниеОпубликовано - дек. 2020
Опубликовано для внешнего пользованияДа


Подробные сведения о темах исследования «Riemann-Hilbert correspondence and blown up surface defects». Вместе они формируют уникальный семантический отпечаток (fingerprint).