Riemann-Hilbert correspondence and blown up surface defects

Saebyeok Jeong, Nikita Nekrasov

Результат исследований: Вклад в журналСтатьярецензирование

13 Цитирования (Scopus)

Аннотация

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
Том2020
Номер выпуска12
DOI
СостояниеОпубликовано - дек. 2020
Опубликовано для внешнего пользованияДа

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